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Highlights.............................................p. 3

Logic and Combinatorics ......................p. 5

Algebra ................................................p. 7

Number Theory ....................................p. 9

Geometry and Topology.....................p. 11

Mathematical Physics .........................p. 14

Analysis and Probability ......................p. 16

Statistics and Finance .........................p. 20

Dynamical Systems.............................p. 22

Fluid Dynamics and Solid Mechanics...p. 23

Applied and Numerical Math..............p. 25

Computation......................................p. 27

History and Philosophy ofMathematics ...................................p. 28

General Interest..................................p. 29

Numerical Recipes ..............................p. 31

Selected Backlist.................................p. 32

Journals..............................................p. 37

Contents

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Highlights

A ComputationalIntroduction to NumberTheory and AlgebraVictor ShoupNew York University, NY

Number theory and algebra play anincreasingly significant role in computingand communications, as evidenced by thestriking applications of these subjects tosuch fields as cryptography and codingtheory. This introductory book emphasisesalgorithms and applications, and isaccessible to a broad audience.The mathematical prerequisites areminimal: nothing beyond material in atypical undergraduate course in calculusis presumed, other than some experiencein doing proofs - everything else isdeveloped from scratch. Thus the bookcan serve several purposes. It can beused as a reference and for self-studyby readers who want to learn themathematical foundations of moderncryptography. It is also ideal as a textbookfor introductory courses in number theoryand algebra, especially those gearedtowards computer science students.Contents:0. Preliminaries; 1. Basic properties of theintegers; 2. Congruences; 3. Computing withlarge integers; 4. Euclid’s algorithm; 5. Thedistribution of primes; 6. Finite and discreteprobability distributions; 7. Probabilisticalgorithms; 8. Abelian groups; 9. Rings;10. Probabilistic primality testing; 11. Findinggenerators and discrete logarithms in Zp*;12. Quadratic residues and quadratic reciprocity;13. Computational problems related to quadraticresidues; 14. Modules and vector spaces;15. Matrices; 16. Subexponential-time discretelogarithms and factoring; 17. More rings;18. Polynomial arithmetic and applications;19. Linearly generated sequences andapplications; 20. Finite fields; 21. Algorithms forfinite fields; 22. Deterministic primality testing;Appendix: some useful facts; Bibliography; Indexof notation; Index.2005/534 pp./450 exercises85154-8/Hb/List: $55.00Disc.: $44.00

Algebra and GeometryAlan BeardonUniversity of Cambridge, UK

This text gives a basic introduction,and a unified approach, to algebra andgeometry. Alan Beardon covers the ideasof complex numbers, scalar and vectorproducts, determinants, linear algebra,group theory, permutation groups,symmetry groups, and various aspects ofgeometry including groups of isometries,rotations, and spherical geometry.The emphasis is on the interaction amongthese topics. The text is divided into shortsections, with exercises at the end of eachsection.Contents:Part I: 1. The real numbers; 2. The complex plane;3. Vectors in three dimensions; 4. Sphericalgeometry; Part II: 5. Permutations anddeterminants; 6. Vector spaces; 7. Matrices;8. Linear equations; 9. Eigenvectors;10. Orthonormal bases of Euclidean space; PartIII: 11. Groups; 12. Group actions; 13. The Möbiusgroup; 14. Matrix groups2005/338 pp./40 line diagrams81362-X/Hb/List: $90.00Disc.: $72.0089049-7/Pb/List: $39.99Disc.: $31.99

Heights inDiophantine GeometryEnrico BombieriInstitute for Advanced StudyWalter GublerUniversity of Dortmund

Diophantine geometry has been studiedby number theorists for thousands ofyears, since the time of Pythagoras, andhas continued to be a rich area of ideassuch as Fermat’s Last Theorem, andmost recently the ABC conjecture.This monograph is a bridge betweenthe classical theory and modern approachvia arithmetic geometry. The authorsprovide a clear path through the subjectfor graduate students and researchers.They have re-examined many results andmuch of the literature, and provide athorough account of several topics at alevel not seen before in book form.The treatment is largely self-contained,with proofs given in full detail.Contents:I. Heights; II. Weil heights; III. Linear tori; IV. Smallpoints; V. The unit equation; VI. Roth’s theorem;VII. The subspace theorem; VIII. Abelian varieties;IX. Neron-tate heights; X. The Mordell-Weilthereom; XI. Faltings theorem; XII. The ABC-conjecture; XIII. Nevanlinna theory; XIV. The Vojtaconjectures; Appendix A. Algebraic geometry;

Appendix B. Ramification; Appendix C. Geometryof numbers; Bibliography; Glossary of notation;Index.New Mathematical Monographs 42006/668 pp./4 figures/4 line diagrams84615-3/Hb/List: $130.00Disc.: $104.00

MultiplicativeNumber Theory:I. Classical TheoryHugh MontgomeryUniversity of Michigan, Ann ArborRobert VaughanPennsylvania State University, University Park

Prime numbers are the multiplicativebuilding blocks of natural numbers.Understanding their overall influenceand especially their distribution givesrise to central questions in mathematicsand physics. In particular, their finerdistribution is closely connected with theRiemann hypothesis, the most importantunsolved problem in the mathematicalworld. This book comprehensively coversall the topics met in first courses onmultiplicative number theory and thedistribution of prime numbers.Contents:Preface; Notation; 1. Dirichlet series-I;2. The elementary theory of arithmetic functions;3. Principles and first examples of sievemethods; 4. Primes in arithmetic progressions-I;5. Dirichlet series-II; 6. The prime numbertheorem; 7. Applications of the prime numbertheorem; 8. Further discussion of the primenumber theorem; 9. Primitive characters andGauss sums; 10. Analytic properties of the zetafunction and L-functions; 11. Primes in arithmeticprogressions-II; 12. Explicit formulae;13. Conditional estimates; 14. Zeros;15. Oscillations of error terms; Appendix A.The Riemann-Stieltjes integral; Appendix B.Bernoulli numbers and the Euler-MacLaurinsummation formula; Appendix C. The gammafunction; Appendix D. Topics in harmonic analysis.Cambridge Studies in AdvancedMathematics 972006/c. 650 pp./7 figures/510 exercises84903-9/Hb/List: $80.00*Disc.: $64.00*

Highlights

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Algebraic Statistics forComputational BiologyEditors Lior PachterUniversity of California, BerkeleyBernd SturmfelsUniversity of California, Berkeley

The quantitative analysis of biologicalsequence data is based on methods fromstatistics coupled with efficient algorithmsfrom computer science. Algebra providesa framework for unifying many of theseemingly disparate techniques used bycomputational biologists. This book offersan introduction to this mathematicalframework and describes tools fromcomputational algebra for designing newalgorithms for exact, accurate results.These algorithms can be applied tobiological problems such as aligninggenomes, finding genes and constructingphylogenies. As the first book in theexciting and dynamic area, it will bewelcomed as a text for self-study or foradvanced undergraduate and beginninggraduate courses.Contents and Contributors:Preface; Part I. Introduction to the Four Themes:1. Statistics L. Pachter and B. Sturmfels;2. Computation L. Pachter and B. Sturmfels;3. Algebra L. Pachter and B. Sturmfels; 4. BiologyL. Pachter and B. Sturmfels; Part II. Studies on theFour Themes: 5. Parametric inference R. Mihaescu;6. Polytope propagation on graphs M. Joswig;7 Parametric sequence alignment C. Dewey andK. Woods; 8. Bounds for optimal sequencealignment S. Elizalde; 9. Inference functionsS. Elizalde; 10. Geometry of Markov chains E. Kuo;11. Equations defining Hidden Markov ModelsN. Bray and J. Morton; 12. The EM algorithm forHidden Markov Models I.B. Hallgrímsdóttir,A. Milowski and J. Yu; 13. Homology mappingwith Markov random fields A. Caspi; 14.Mutagenetic tree models N. Beerenwinkel andM. Drton; 15. Catalog of small trees M.Casanellas, L. Garcia, and S. Sullivant;16. The strand symmetric model M. Casanellasand S. Sullivant; 17. Extending statistical modelsfrom trees to splits graphs D. Bryant; 18. Smalltrees and generalized neighbor-joining M. Contoisand D. Levy; 19. Tree construction using SingularValue Decomposition N. Eriksson; 20. Applicationsof interval methods to phylogenetics R. Sainudiinand R. Yoshida; 21. Analysis of point mutations invertebrate genomes J. Al-Aidroos and S. Snir;22. Ultra-conserved elements in vertebrategenomes M. Drton, N. Eriksson and G. Leung;Index2005/432 pp./3 color plates/100 line diagrams/5 tables85700-7/Hb/List: $60.00Disc.: $48.00

Playfair’s Commercialand Political Atlas andStatistical BreviaryWilliam PlayfairIntroduced and annotated byHoward WainerIan Spence“From the mind and hand of Playfairsprung - virtually fully formed - theprototypes for most of the statisticalgraphics in use today. There is nobetter place to start than at thebeginning, and this is the book thatlets us see what Playfair was trying todo - and to appreciate just how wellhe accomplished his goals. No studentof information graphics should bewithout this book.”—Stephen M. Kosslyn, Harvard University

A scientific revolution began at the endof the 18th century with the creation andpopularization of the graphic display ofdata by Scottish inventor William Playfair,who introduced the line graph, bar chart,and pie chart into statistics. Hisremarkable Atlas demonstrated howmuch could be learned if one plotted datagraphically and looked for suggestivepatterns to provide evidence for pursuingresearch. In the Statistical Breviary,Playfair invented the pie chart andexpanded upon this concept to facilitatethe comparison of the resources ofEuropean countries. Playfair’s work hasgreat relevance to contemporary science,but finding copies of his original versionsis very difficult. This re-issuance of two ofhis classic works, with new explanatorymaterial, allows access to his wisdom forthe first time in two centuries. In full colorexactly as Playfair hand-colored theoriginal, this volume includes exactduplicates of the third edition of hisclassic Atlas as well as the StatisticalBreviary. An additional feature is theinclusion of annotations and an extensivebiography of the remarkable inventor.2005/248 pp./31 color illustrations85554-3/Hb/List: $39.99Disc.: $31.99

Signal Design forGood CorrelationFor Wireless Communication,Cryptography, and RadarSolomon W. GolombUniversity of Southern California, Los AngelesGuang GongUniversity of Waterloo, Ontario, Canada

Wireless communications, advancedradar and sonar systems, and securitysystems for Internet transactions arecontemporary examples of systemsthat employ digital signals to transmitinformation. This volume affordscomprehensive, up-to-date treatmentof the methodologies and applicationareas throughout the range of digitalcommunication where individual signals,and sets of signals, with favorablecorrelation properties play a central role.Some application areas covered includeCode Division Multiple Access (CDMA)signals such as those in use for cell-phonecommunication; digital systems for codedradar and sonar signals; and methods forsecure authentication and stream ciphercryptology. The authors provide thenecessary mathematical background toexplain how the signals are generatedand to show how the signals satisfy theappropriate correlation constraints.Contents:1. General properties of correlation;2. Applications of correlation to thecommunication of information; 3. Finite fields;4. Feedback shift register sequences;5. Randomness measurements and m-sequences;6. Transforms of sequences and functions;7. Cyclic difference sets and binary sequenceswith two-level correlation; 8. Cyclic Hadamardsequences, part 1; 9. Cyclic Hadamard sequences,part 2; 10. Signal sets with low cross-correlation;11. Correlation of Boolean functions;12. Applications to radar, sonar, andsynchronization.2005/464 pp.82104-5/Hb/List: $75.00Disc.: $60.00

Highlights

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Now in paperback…

The Quantum Theoryof FieldsVolume 1: Foundations;Volume 2: Modern Applications;Volume 3: SupersymmetrySteven WeinbergUniversity of Texas, Austin“Provides an impressively lucidand thorough presentation of thesubject from this modern viewpoint ...Weinberg manages to present difficulttopics with richness of meaning andmarvellous clarity. Full of valuableinsights, his treatise is sure tobecome a classic.”—NatureContents:VOLUME I: 1. Historical introduction;2. Relativistic quantum mechanics; 3. Scatteringtheory; 4. The cluster decomposition principle;5. Quantum fields and antiparticles;6. The Feynman rules; 7. The canonical formalism;8. Massless particles: electrodynamics; 9. Pathintegral methods; 10. Nonperturbative methods;11. One-loop radiative corrections in quantumelectrodynamics; 12. General renormalizationtheory; 13. Infrared effects; 14. Bound states inexternal fields. VOLUME II: 15. Non-Abeliangauge theories; 16. External field methods;17. Renormalization of gauge theories;18. Renormalization group methods;19. Spontaneously broken global symmetries;20. Operator product expansions;21. Spontaneous breaking of gauge symmetries;22. Anomalies; 23. Topological complications;Subject index; Author index. VOLUME III:24. Historical introduction; 25. Supersymmetryalgebras; 26. Supersymmetric field theories;27. Supersymmetric gauge theories;28. Supersymmetric versions of the standardmodel; 29. Beyond perturbation theory; 30.Supergraphs; 31. Supergravity; 32. Supersymmetryin higher dimensions; Author index; Subject index.2005/c. 1592 pp./Volume 1:(0-521-67053-5)/Volume 2:(0-521-67054-3)/Volume 3:(0-521-67055-1)/($45.00 each)67056-X/3 Vol. Paperback Set/List: $120.00Disc.: $96.00

Logic &Combinatorics

Combinatorics ofSymmetric DesignsYury J. IoninCentral Michigan University, Mount PleasantMohan S. ShrikhandeCentral Michigan University

Providing a unified exposition of thetheory of symmetric designs withemphasis on recent developments, thisvolume covers the combinatorial aspectsof the theory, giving particular attentionto the construction of symmetric designsand related objects. The book concludeswith a comprehensive bibliography ofover 400 entries. Detailed proofs and alarge number of exercises make it suitableas a text for an advanced course incombinatorial designs.Contents:1. Combinatorics of finite sets;2. Introduction todesigns; 3. Vector spaces over finite fields;4. Hadamard matrices; 5. Resolvable designs;6. Symmetric designs and t-designs; 7. Symmetricdesigns and regular graphs; 8. Block intersectionstructure of designs; 9. Difference sets;10. Balanced generalized weighing matrices;11. Decomposable symmetric designs; 12.Subdesigns of symmetric designs; 13. Non-embeddable quasi-residual designs; Appendix;Bibliography; Index.New Mathematical Monographs 52006/c. 536 pp./200 exercises81833-8/Hb/List: $110.00*Disc.: $88.00*

Surveys inCombinatorics 2005Editor Bridget S. WebbThe Open University, UKContents:1. Finite field models in additive combinatoricsBen Green; 2. The subgroup structure of finiteclassical groups in terms of geometricconfigurations Oliver H. King; 3. Constructingcombinatorial objects via cliques Patric R. J.Ostergard; 4. Flocks of circle planes Tim Penttila;5. Judicious partitions and related problems AlexScott; 6. An isoperimetric method for the smallsumset problem O. Serra; 7. The structure of claw-free graphs Maria Chudnovsky and Paul Seymour;8. The multivariate Tutte polynomial (alias Pottsmodel) for graphs and matroids Alan D. Sokal;9. The sparse regularity lemma and itsapplications Stefanie Gerke and Angelika Steger.London Mathematical Society LectureNote Series 3272005/266 pp./75 exercises61523-2/Pb/List: $60.00Disc.: $48.00

How To Prove ItA Structured ApproachSecond EditionDaniel J. VellemanAmherst College, MA

Geared to preparing students to makethe transition from solving problems toproving theorems, this text teaches themthe techniques needed to read and writeproofs. The book begins with the basicconcepts of logic and set theory tofamiliarize students with the language ofmathematics and its interpretation. Theseconcepts are used as the basis for a step-by-step breakdown of the most importanttechniques used in constructing proofs. Tohelp students construct their own proofs,this new edition contains over 200 newexercises, selected solutions, and anintroduction to Proof Designer software.No background beyond standard highschool mathematics is assumed.Contents:1. Sentential logic: 2. Quantificational logic;3. Proofs; 4. Relations; 5. Functions;6. Mathematical induction; 7. Infinite sets.2006/400 pp./10 tables/536 exercises86124-1/Hb/List: $75.00Disc.: $60.0067599-5/Pb/List: $29.99Disc.: $23.99

Introduction toCoding TheoryRon M. RothTechnion–Israel Institute of Technology, Haifa

Error-correcting codes constitute one ofthe key ingredients in achieving the highdegree of reliability required in moderndata transmission and storage systems.This book introduces the reader to thetheoretical foundations of error-correctingcodes, with an emphasis on Reed-Solomon codes and their derivative codes.Contents:Preface; 1. Introduction; 2. Linear codes;3. Introduction to finite fields; 4. Bounds onthe parameters of codes; 5. Reed-Solomoncodes and related codes; 6. Decoding of Reed-Solomon codes; 7. Structure of finite fields;8. Cyclic codes; 9. List decoding of Reed-Solomoncodes; 10. Codes in the Lee metric; 11. MDS codes;12. Concatenated codes; 13. Graph codes;14. Trellis codes and convolutional codes;Appendix A. Basics in modern algebra;Bibliography; List of symbols; Index.2005/c. 584 pp./66 line diagrams/12 tables/348 exercises84504-1/Hb/List: $75.00Disc.: $60.00

Highlights / Logic & Combinatorics

5www.cambridge.org/us/mathematics

Applied Combinatoricson WordsEditor M. LothaireThe aim of this volume, the third in atrilogy, is to present a unified treatment ofsome of the major fields of applications ofcombinatorics on words. The breadth ofapplication, combined with the inclusionof problems and algorithms and acomplete bibliography, will make thisbook ideal for graduate students andprofessionals in mathematics, computerscience, biology, and linguistics.Contents and Contributors:1. Algorithms on words J. Berstel and D. Perrin;2. Structures for indexes M. Crochemore;3. Symbolic natural language processing E.Laporte; 4. Statistical natural language processingM. Mohri; 5. Inference of network expressionsN. Pisanti and M. Sagot; 6. Statistics on wordswith applications to biological sequencesG. Reinbert, Sophie Schbath and M. Waterman;7. Analytic approach to pattern matchingP. Jacquet and W. Szpankowski; 8. Periodicstructures on words D. Poulalhon andG. Schaeffer; 9. Counting, coding and samplingwith words R. Kolpakov and G. Koucherov; 10.Words in number theory J. Allouche and V. Berthé;References; General indexEncyclopedia of Mathematics andits Applications 1052005/626 pp./9 halftones/53 figures/41 line diagrams84802-4/Hb/List: $125.00Disc.: $100.00

Tolerance GraphsMartin GolumbicUniversity of Haifa, IsraelAnn TrenkWellesley College, MA“Many first-rate mathematicianshave contributed, making theexposition’s quality high overall.Highly recommended.”—D.V. Feldman, University of New Hampshire,CHOICEContents:1. Introduction; 2. Early work on tolerance graphs;3. Trees, cotrees and bipartite graphs; 4. Intervalprobe graphs; 5. Bitolerance graphs and orderedsets; 6. Unit and 50% tolerance graphs; 7.Comparability and invariance results; 8. Boundedbitolerance recognition; 9. Algorithms ontolerance graphs; 10. The hierarchy of bitoleranceorders; 11. Tolerance models on trees; 12. Phi-tolerance models; 13. Directed tolerance graphs;14. Open questions and further directions.Cambridge Studies inAdvanced Mathematics 892004/278 pp./50 line diagrams82758-2/Hb/List: $70.00Disc.: $56.00

Topics in AlgebraicGraph TheoryEditors Lowell W. BeinekeIndiana University–Purdue University, Fort WayneRobin J. WilsonThe Open University, UKPeter J. CameronAcademic Consultant

Foreword byPeter J. CameronThe rapidly expanding area of algebraicgraph theory uses two different branchesof algebra to explore various aspects ofgraph theory: linear algebra (for spectraltheory) and group theory (for studyinggraph symmetry). These areas have linkswith other areas of mathematics, suchas logic and harmonic analysis, and areincreasingly being used in such areas ascomputer networks where symmetry isan important feature. Other books coverportions of this material, but this book isunusual in covering both of these aspects.Contents and Contributors:Foreword Peter J. Cameron; Introduction;1. Eigenvalues of graphs Michael Doob; 2. Graphsand matrices Richard A. Brualdi and Bryan L.Shader; 3. Spectral graph theory Dragos Cvetkovicand Peter Rowlinson; 4. Graph Laplacians BojanMohar; 5. Automorphism groups Peter J.Cameron; 6. Cayley graphs Brian Alspach; 7. Finitesymmetric graphs Cheryle E. Praeger; 8. Stronglyregular graphs Peter J. Cameron; 9. Distance-transitive graphs Arjeh M. Cohen; 10. Computingwith graphs and groups Leonard H. SoicherEncyclopedia of Mathematics andits Applications 1022004/290 pp./37 line diagrams/8 tables80197-4/Hb/List: $95.00Disc.: $76.00

The Covering PropertyAxiom, CPAA Combinatorial Core ofthe Iterated Perfect Set ModelKrzysztof CiesielskiWest Virginia University, MorgantownJanusz PawlikowskiWroclaw University, PolandContents:1. Axiom CPAcube and its consequences:properties (A)-(E); 2. Games and axiomCPAgame/cube; 3. Prisms and axiomsCPAgame/prism and CPAprism; 4. CPAprism andcoverings with smooth functions; 5. Applicationsof CPAgame/prism; 6. CPA and properties(F*) and (G); 7. CPA in the Sacks modelCambridge Tracts in Mathematics 1642004/200 pp./3 line diagrams83920-3/Hb/List: $80.00Disc.: $64.00

A First Course inCombinatorialOptimizationJon LeeIBM T.J. Watson Research Center, YorktownHeights, NY“Lee strikes a perfect balancebetween the specific and the general,between the concrete and theabstract.”– CHOICE

Jon Lee focuses on key mathematicalideas leading to useful models andalgorithms, rather than on data structuresand implementation details, in thisintroductory graduate-level text forstudents of operations research,mathematics, and computer science.Contents:Introduction; 0. Polytopes and linearprogramming; 1. Matroids and the greedyalgorithm; 2. Minimum-weight dipaths; 3. Matroidintersection; 4. Matching; 5. Flows and cuts; 6.Cutting planes; 7. Branch-&-bound; 8. Optimizingsubmodular functions; Appendix.Cambridge Texts in Applied Mathematics2004/228 pp.81151-1/Hb/List: $80.00Disc.: $64.0001012-8/Pb/List: $34.99Disc.: $27.99

Global Methods forCombinatorialIsoperimetric ProblemsLarry HarperUniversity of California, Riverside“It is a very nice and useful book,written by a real expert in the field. Ibelieve that both specialists in thearea and mathematicians with otherbackgrounds will find lots of newinteresting material in this book.”—Mathematics of ComputationContents:1. The edge-isoperimetric problem;2. The minimum path problem; 3. Stabilizationand compression; 4. The vertex-isoperimetricproblem; 5. Stronger stabilization; 6. Highercompression; 7. Isoperimetric problems ofinfinite graphs; 8. Isoperimetric problems oncomplexes; 9. Morphisms for MWI problems;10. Passage to the limit; 11. Afterword;12. The classical isoperimetric problem.Cambridge Studies inAdvanced Mathematics 902004/246 pp./50 line diagrams83268-3/Hb/List: $70.00Disc.: $56.00

Logic & Combinatorics

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Algebra

ModularRepresentations ofFinite Groups of Lie TypeJames E. HumphreysUniversity of Massachusetts, AmherstContents:1. Finite groups of Lie type; 2. Simple modules;3. Weyl modules and Lusztig’s conjecture;4. Computation of weight multiplicities; 5. Otheraspects of simple modules; 6. Tensor products;7. BN-pairs and induced modules; 8. Blocks;9. Projective modules; 10. Comparison withFrobenius kernals; 11. Caran invariants;12. Extensions of simple modules; 13. Lewyseries; 14. Cohomology; 15. Complexity andsupport varieties; 16. Ordinary and modularrepresentations; 17. Deligne-Lusztig characters;18. The groups; 19. General and special lineargroups; 20. Suzuki and Ree groups; Bibliography;Frequently used symbols; Index.London Mathematical SocietyLecture Note Series 3262006/250 pp./4 figures/30 tables67454-9/Pb/List: $55.00Disc.: $44.00

Free Ideal Ringsand Localization inGeneral RingsPaul CohnUniversity of London, UKContents:Preface; Note to the reader; Terminology,notations and conventions used; List of specialnotation; 0. Preliminaries in modules;1. Principal ideal domains; 2. Firs, semifirs and theweak algorithm; 3. Factorization; 4. 2-firs with adistributive factor lattice; 5. Modules over firs andsemifirs; 6. Centralizers and subalgebras; 7. Skewfields of fractions; Appendix; Bibliography andauthor index; Subject index.New Mathematical Monographs 32006/c. 700 pp./19 figures/19 line diagrams/52 exercises85337-0/Hb/List: $140.00Disc.: $112.00

Classical and QuantumOrthogonal Polynomialsin One VariableMourad E.H. IsmailUniversity of Central Florida, OrlandoContents:1. Preliminaries; 2. Orthogonal polynomials; 3.Differential equations; 4. Jacobi polynomials; 5.Some inverse problems; 6. Discrete orthogonalpolynomials; 7. Zeros and inequalities; 8.Polynomials orthogonal on the unit circle; 9.Linearization, connections and integralrepresentations; 10. The Sheffer classification; 11.q-series preliminaries; 12. q-summation theorems;13. Some q-orthogonal polynomials; 14.Exponential and q-Bessel functions; 15. TheAskey-Wilson polynomials; 16. The Askey-Wilson

operators; 17. q-Hermite polynomials on the unitcircle; 18. Discrete q-orthogonal polynomials;19. Fractional and q-fractional calculus;20. Polynomial solutions to functional equations;21. Some indeterminate moment problems;22. The RiemannSHHilbert problem; 23. Multipleorthogonal polynomials; 24. Research problems;Bibliography; Index.Encyclopedia of Mathematics andits Applications 982005/724 pp./1 line diagram/80 exercises78201-5/Hb/List: $140.00Disc.: $112.00

Elements of theRepresentation Theoryof Associative AlgebrasTechniques of Representation TheoryI. AssemSherbrooke University, Quebec, CanadaAndrzej SkowronskiWarsaw University, PolandD. SimsonWarsaw University

This first part of a two-volume set offersa modern account of the representationtheory of finite dimensional associativealgebras over an algebraically closed field.The authors present this topic from theperspective of linear representations offinite-oriented graphs (quivers) andhomological algebra. The volume will beof great interest to graduate studentsbeginning research in the representationtheory of algebras and to mathematiciansfrom other fields.Contents:0. Introduction; 1. Algebras and modules;2. Quivers and algebras; 3. Representations andmodules; 4. Auslander-Reiten theory;5. Nakayama algebras and representation-finite group algebras; 6. Tilting theory;7. Representation-finite hereditary algebras;8. Tilted algebras; 9. Directing modules andpostprojective components; A. Appendix.Categories functors and homology.London Mathematical SocietyStudent Texts2005/472 pp.58423-X/Hb/List: $90.00Disc.: $72.0058631-3/Pb/List: $45.00Disc.: $36.00

Lie Algebras ofFinite and Affine TypeRoger CarterUniversity of Warwick, UKContents:1. Basic concepts; 2. Representations of solubleand nilpotent Lie algebras; 3. Cartan subalgebras;4. The Cartan decomposition; 5. The root systemsand the Weyl group; 6. The Cartan matrix and theDynkin diagram; 7. The existence and uniquenesstheorems; 8. The simple Lie algebras; 9. Someuniversal constructions; 10. Irreducible modulesfor semisimple Lie algebras; 11. Further properties

of the universal enveloping algebra; 12. Characterand dimension formulae; 13. Fundamentalmodules for simple Lie algebras; 14. GeneralizedCartan matrices and Kac-Moody algebras;15. The classification of generalised Cartanmatrices; 16 The invariant form, root system andWeyl group; 17. Kac-Moody algebras of affinetype; 18. Realisations of affine Kac-Moodyalgebras; 19. Some representations ofsymmetrisable Kac-Moody algebras; 20.Representations of affine Kac-Moody algebras;21. Borcherds Lie algebras; Appendix.Cambridge Studies inAdvanced Mathematics 962005/649 pp./10 line diagrams85138-6/Hb/List: $80.00Disc.: $64.00

Linear and ProjectiveRepresentations ofSymmetric GroupsAlexander KleshchevUniversity of Oregon, EugeneContents:Introduction; Part I. Linear Representations:1. Notations and generalities; 2. Symmetricgroups I; 3. Degenerate affine Hecke algebra;4. First results on Hn-modules; 5. Crystaloperators; 6. Character calculations; 7. Integralrepresentations and cyclotomic Hecke algebras;8. Functors ei and fi; 9. Construction of UZ +and irreducible modules; 10. Identification of thecrystal; 11. Symmetric groups II; Part II. Projectiverepresentations: 12. Generalities on superalgebra;13. Sergeev superalgebras; 14. Affine Sergeevsuperalgebras; 15. Integral representations andcyclotomic Sergeev algebras; 16. First results onXn-modules; 17. Crystal operators on Xn;18. Character calculations for Xn ; 19. Operatorsei and fi ; 20. Construction of UZ + andirreducible modules; 21. Identification of thecrystal; 22. Double covers; Bibliography.Cambridge Tracts in Mathematics 1632005/292 pp.83703-0/Hb/List: $80.00Disc.: $64.00

Poincaré DualityAlgebras, Macaulay’sDual Systems, andSteenrod OperationsDagmar MeyerGeorg-August-Universität, Göttingen, GermanyLarry SmithGeorg-August-Universität, Göttingen, Germany

Poincaré duality algebras originated in thework of topologists on the cohomology ofclosed manifolds, and Macaulay's dualsystems in the study of irreducible idealsin polynomial algebras. These two ideasare tied together using basic commutativealgebra involving Gorenstein algebras.Steenrod operations also originated inalgebraic topology, but may best beviewed as a means of encoding theinformation often hidden behind the

Algebra

7www.cambridge.org/us/mathematics

Frobenius map in characteristic p<>0.They provide a noncommutative tool tostudy commutative algebras over a Galoisfield. In this Tract the authors skillfullybring together these ideas and applythem to problems in invariant theory.A number of remarkable and unexpectedinterdisciplinary connections are revealedthat will interest researchers in the areasof commutative algebra, invariant theoryor algebraic topology.Contents:Introduction; Part I. Poincaré Duality Quotients;Part II. Macaulay’s Dual Systems and FrobeniusPowers; Part III. Poincaré Duality and the SteenrodAlgebra; Part IV. Dickson, Symmetric, and otherCoinvariants; Part V. The Hit Problem mod 2; PartVI. Macaulay’s Inverse Systems and Applications;References; Notation; Index.Cambridge Tracts in Mathematics 1672005/199 pp./5 figures/5 line diagrams/5 tables85064-9/Hb/List: $75.00Disc.: $60.00

General Theory ofLie Groupoids andLie AlgebroidsKirill MackenzieUniversity of Sheffield, UKContents:Part I. The General Theory: 1. Lie groupoids:fundamental theory; 2. Lie groupoids: algebraicconstructions; 3. Lie algebroids: fundamentaltheory; 4. Lie algebroids: algebraic constructions;Part II. The Transitive Theory: 5. Infinitesimalconnection theory; 6. Path connections and Lietheory; 7. Cohomology and Schouten calculus;8. The cohomological obstruction; Part III. ThePoisson and Symplectic Theories: 9. Double vectorbundles; 10. Poisson structures and Liealgebroids; 11. Poisson and symplectic groupoids;12. Lie bialgebroids; Appendix; Bibliography;Index.London Mathematical Society LectureNote Series 2132005/540 pp.49928-3/Pb/List: $90.00Disc.: $72.00

Solving PolynomialEquation Systems IIMacaulay’s Paradigmand Gröbner TechnologyTeo MoraUniversity of Genoa, ItalyContents:Preface; Part III. Gauss, Euclid, Buchberger -Elementary Gröbner Bases: 20. Hilbert; 21. Gauss;22. Buchberger; 23. Macaulay I; 24. Gröbner I;25. Gebauer and Traverso; 26. Spear; Part IV.Duality: 27. Noether; 28. Möller I; 29. Lazard; 30.Macaulay II; 31. Gröbner II; 32. Gröbner III; 33.Möller II; Part IV. Beyond Dimension Zero: 34.Gröbner IV; 35. Gianni Trager Zacharias; 36.Macaulay III; 37. Galligo; 38. Giusti; Bibliography;Index.Encyclopedia of Mathematics andits Applications 992005/782 pp.81156-2/Hb/List: $150.00Disc.: $120.00

Double AffineHecke AlgebrasIvan CherednikUniversity of North Carolina, Chapel Hill

This is a unique, essentially self-contained,monograph in a new field of fundamentalimportance for representation theory,harmonic analysis, mathematical physics,and combinatorics. It is a major source ofgeneral information about the doubleaffine Hecke algebra, also calledCherednik’s algebra, and its impressiveapplications. Chapter 1 is devoted tothe Knizhnik-Zamolodchikov equationsattached to root systems and theirrelations to affine Hecke algebras,Kac-Moody algebras, and Fourier analysis.Chapter 2 contains a systematicexposition of the representation theoryof the one-dimensional DAHA. It is thesimplest case but far from trivial withdeep connections in the theory of specialfunctions. Chapter 3 is about DAHA infull generality, including applicationsto Macdonald polynomials, Fouriertransforms, Gauss-Selberg integrals,Verlinde algebras, and Gaussian sums.This book is designed for mathematiciansand physicists, experts and students, allthose who want to master the newdouble Hecke algebra technique.Contents:0. Introduction; 1. KZ equations and QMBP; 2.DAHA and Fourier Transform; 3. General TheoryLondon Mathematical Society LectureNote Series 3192005/446 pp./11 line diagrams60918-6/Pb/List: $70.00Disc.: $56.00

Trends inCommutative AlgebraEditors Luchezar L. AvramovPurdue University, West Lafayette, INMark GreenUniversity of California, Los AngelesCraig HunekeUniversity of Kansas, LawrenceKaren E. SmithUniversity of Michigan, Ann ArborBernd SturmfelsUniversity of California, BerkeleyContents and Contributors:1. Commutative algebra of N points in the planeMark Haiman; 2. Resolutions of point in P2Jessica Sidman; 3. Toric local cohomology EzraMiller; 4. The geometry of syzygies DavidEisenbaum; 5. Tight closure Melvin Hochster; 6.Some examples in tight closure Graham Leuschke;7. Introduction to the theory of multiplier idealsRob Lazarsfeld; 8. Resolution of singularities andmultiplier ideals Ana Bravo; 9. Monomial ideas,bonomial ideals, polynomial ideals BernardTeissier; 10. The intersections of homology D-module in finite characters Manuel Blickle; 11.Depth for complexes, and intersection theoremsSrikanth Iyengar.Mathematical Sciences Research InstitutePublications2004/264 pp.83195-4/Hb/List: $60.00Disc.: $48.00

Exploratory GaloisTheoryJohn SwallowDavidson College, NC

Combining a concrete perspective withan exploration-based approach, thisanalysis develops Galois theory at anentirely undergraduate level. The textgrounds the presentation in the conceptof algebraic numbers with complexapproximations and only requiresknowledge of a first course in abstractalgebra. It introduces tools for hands-onexperimentation with finite extensionsof the rational numbers for readers withMaple® or Mathematica®.Contents:1. Preliminaries; 2. Algebraic numbers, fieldextensions, and minimal polynomials; 3. Workingwith algebraic numbers, field extensions, andminimal polynomials; 4. Multiply-generated fields;5. The Galois correspondence; 6. Some classicaltopics; Historical note.2004/220 pp.83650-6/Hb/List: $75.00Disc.: $60.0054499-8/Pb/List: $34.99Disc.: $27.99

Algebra

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Concrete AbstractAlgebraFrom Numbers to Gröbner BasesNiels LauritzenAarhus Universitet, Denmark

Concrete Abstract Algebra develops thetheory of abstract algebra from numbersto Gröbner bases, while taking in all theusual material of a traditional introductorycourse. In addition, there is a rich supplyof topics such as cryptography, factoringalgorithms for integers, quadratic residues,finite fields, factoring algorithms forpolynomials, and systems of non-linearequations. A special feature is thatGröbner bases do not appear as anisolated example. They are fully integratedas a subject that can be successfullytaught in an undergraduate context.Contents:1. Numbers; 2. Groups; 3. Rings; 4. Polynomials;5. Grobner bases; Appendix 1. Relations;Appendix 2. Linear algebra2003/254 pp./40 line diagrams82679-9/Hb/List: $90.00Disc.: $72.0053410-0/Pb/List: $39.99Disc.: $31.99

Kleinian Groups andHyperbolic 3-ManifoldsProceedings of the WarwickWorkshop, September 11-14, 2001Editors Y. KomoriOsaka City University, JapanV. MarkovicUniversity of Warwick, UKC. SeriesUniversity of WarwickContents and Contributors:1. Combinatorial and geometrical aspects ofhyperbolic 3-manifolds, Y. Minsky; 2. Cone-manifolds and the density conjecture, J. Brockand K. Bromberg; 3. Harmonic deformations ofhyperbolic 3-manifolds, C. Hodgson and S.Kerchoff; 4. Ending laminations in the Masurdomain, G. Kleineidam and J. Souto; 5. Lesgéodesiques fermés d’une variété hyperbolique entant que noeuds, J.-P. Otal; 6. Quasi-arcs in thelimit set of a singly degenerate group withbounded geometry, H. Miyachi; 7. Remarks onthe curve complex and classification of surfacemappings, W. Harvey; 8. On hyperbolic andspherical volumes for knot and link conemanifolds, A. Mednykh; 9. Variations on a themeof Horowitz, J. Anderson; 10. On pairs of oncepunctured tori, T. Jorgensen; 11. Comparing twoconvex hull constructions for cusped hyperbolicmanifolds, H. Akiyoshi and M. Sakuma; 12.Jorgensen’s picture of punctured torus groups andits refinement, H. Akiyoshi, M. Sakuma, M. Wadaand Y. Yamashita; 13. Tetrahedral decompositionof punctured torus bundles, J. Parker

London Mathematical Society LectureNote Series 3112003/392 pp./50 line diagrams54013-5/Pb/List: $70.00Disc.: $56.00

Number Theory

Elliptic FunctionsJ.V. ArmitageUniversity of Durham, UKW. EberlainIn its first six chapters, this text presentsthe basic ideas and properties of theJacobi elliptic functions as a historicalessay. Accordingly, it is based on the ideaof inverting integrals which arise in thetheory of differential equations and, inparticular, the differential equation thatdescribes the motion of a simplependulum. The later chapters present amore conventional approach to theWeierstrass functions and to ellipticintegrals, and the reader is introduced tothe richly varied applications of the ellipticand related functions.Contents:1. The ‘simple’ pendulum; 2. Jacobian ellipticfunctions of a complex variable; 3. Generalproperties of elliptic functions; 4. Theta functions;5. The Jacobian elliptic functions for complex k;6. Introduction to transformation theory; 7. TheWeierstrass elliptic functions; 8. Elliptic integrals;9. Applications of elliptic functions in geometry;10. An application of elliptic functions in algebrasolution of the general quintic equation;11. An arithmetic application of elliptic functions;12. Applications in mechanics and statistics andother topics; Appendix; Bibliography.London Mathematical SocietyStudent Texts 672006/c. 420 pp./25 figures/25 line diagrams/5 tables78078-0/Hb/List: $90.00*Disc.: $72.00*78563-4/Pb/List: $48.00*Disc.: $38.40*

An Introduction toSieve Methods andtheir ApplicationsAlina Carmen CojocaruPrinceton University, NJM. Ram MurtyQueen’s University, Kingston, Ontario, Canada

Sieve theory has a rich and romantichistory. The ancient question of whetherthere exist infinitely many twin primes(primes p such that p+2 is also prime),and Goldbach’s conjecture that every evennumber can be written as the sum of twoprime numbers, are two of the problemsthat have inspired the development of the

theory. This book provides a motivatingintroduction to sieve theory. Ratherthan focus on technical details whichcan obscure the beauty of the theory,the authors focus on examples andapplications, developing the theory inparallel. The text can be used for a seniorlevel undergraduate course or anintroductory graduate course in analyticnumber theory.Contents:1. Some basic notions; 2. Some elementary sieves;3. The normal order method; 4. The Turan sieve;5. The sieve of Eratosthenes; 6. Brun’s sieve;7. Selberg’s sieve; 8. The large sieve; 9. TheBombieri-Vinogradov theorem; 10. The lowerbound sieve; 11. New directions in sieve theory;Bibliography.London Mathematical SocietyStudent Texts 662006/236 pp./275 exercises84816-4/Hb/List: $90.00Disc.: $72.0061275-6/Pb/List: $39.99Disc.: $31.99

Elementary NumberTheory in Nine ChaptersSecond EditionJames J. TattersallProvidence College, Providence, RI“Every chapter has a remarkablecollection of exercises of variousdegrees of difficulty and contains awealth of historical information,which makes interesting reading.”—Mathematical Reviews

Intended to serve as a one-semesterintroductory course in number theory,this second edition has been revisedthroughout. In particular, the field ofcryptography is highlighted. At the heartof the book are the major numbertheoretic accomplishments of Euclid,Fermat, Gauss, Legendre, and Euler.Contents:1. The intriguing natural numbers;2. Divisibility; 3. Prime numbers; 4. Perfectand amicable numbers; 5. Modular arithmetic;6. Congruences of higher degree;7. Cryptography; 8. Representations;9. Partitions; Tables; Answers to selectedexercises; Bibliography.2005/442 pp./20 tables/200 exercises85014-2/Hb/List: $85.00Disc.: $68.0061524-0/Pb/List: $34.99Disc.: $27.99

Algebra / Number Theory

9www.cambridge.org/us/mathematics

Recent Perspectives inRandom Matrix Theoryand Number TheoryEditors Francesco MezzadriUniversity of Bristol, UKNina C. SnaithUniversity of BristolContents:1. Introduction; 2. Prime number theory andthe Riemann zeta-function; 3. Notes on paircorrelation of zeros and prime numbers;4. Notes on eigenvalue distributions for theclassical compact groups; 5. Compound nucleusresonances, random matrices and quantum chaos;6. Families of L-functions and 1-level densities;7. Basic analytic number theory; 8. Applicationsof mean value theorems to the theory of theRiemann zeta function; 9. L-functions and thecharacteristic polynomials of random matrices;10. Mock gaussian behaviour; 11. Somespecimens of L-functions; 12. Computationalmethods and experiments in analytic numbertheory.London Mathematical Society LectureNote Series 3222005/528 pp.62058-9/Pb/List: $65.00Disc.: $52.00

Advances in EllipticCurve CryptographyEditors Ian F. Blake

University of Toronto, Ontario, CanadaGadiel SeroussiHewlett-Packard Laboratories, Palo Alto, CANigel P. SmartUniversity of Bristol, UKContents and Contributors:Part I. Protocols: 1. Elliptic curve base protocolsN. P. Smart; 2. On the provable security of ECDSAD. Brown; 3. Proofs of security for ECIES A. W.Dent; Part II. Implementation Techniques:4. Side channel analysis E. Oswald; 5. Defensesagainst side-channel analysis M. Joye; Part III.Mathematical Foundations: 6. Advances in pointcounting F. Vercauteren; 7. Hyperelliptic curvesand the HCDLP P. Guadry; 8. Weil descent attacksF. Hess; Part IV. Pairing Based Techniques:9. Pairings S. Galbraith; 10. Cryptography frompairings K. G. Paterson.London Mathematical Society LectureNote Series 3172005/298 pp./7 line diagrams/11 tables60415-X/Pb/List: $55.00Disc.: $44.00

Analytic Methods forDiophantine Equationsand DiophantineInequalitiesSecond EditionHarold DavenportEditor Tim BrowningForeword written byR.C. VaughanContents:Preface; Foreword; 1. Introduction; 2. Waring’sproblem: history; 3. Weyl’s inequality and Hua’sinequality; 4. Waring’s problem: the asymptoticformula; 5. Waring’s problem: the singular series;6. The singular series continued; 7. The equationC1xk1 + + Csxks=N; 8. The equation C1xk1 + +Csxks=0; 9. Waring’s problem: the number G (k);10. The equation C1xk1 + + Csxks=0 again;11. General homoogeneous equations: Birch’stheorem; 12. The geometry of numbers;13. Cubic forms; 14. Cubic forms: bilinearequations; 15. Cubic forms: minor arcs and majorarcs; 16. Cubic forms: the singular integral;17. Cubic forms: the singular series; 18. Cubicforms: the p-adic problem; 19. Homogeneousequations of higher degree; 20. A Diophantineinequality; Bibliography; IndexCambridge Mathematical Library2005/160 pp.60583-0/Pb/List: $39.99Disc.: $31.99

Approximation byAlgebraic NumbersYann BugeaudUniversité Louis Pasteur, Strasbourg, France

To help the reader access the currentstate of research in this branch of numbertheory, Yann Bugeaud combines the mostimportant results previously scatteredthroughout the research literature andalso includes a number of significant openquestions. Although written for graduateswho wish to pursue research, thecollection will also be an invaluablereference work for establishedresearchers.Contents:Preface; Frequently used notation; 1.Approximation by rational numbers; 2.Approximation to algebraic numbers; 3. Theclassifications of Mahler and Koksma; 4. Mahlersconjecture on S-numbers; 5. Hausdorff dimensionof exceptional sets; 6. Deeper results on themeasure of exceptional sets; 7. On T-numbers andU-numbers; 8. Other classifications of real andcomplex numbers; 9. Approximation in otherfields; 10. Conjectures and open questions;Appendix A. Lemmas on polynomials; Appendix B.Geometry of numbers; Bibliography; Index.Cambridge Tracts in Mathematics 1602004/290 pp.82329-3/Hb/List: $75.00Disc.: $60.00

Integer PartitionsGeorge E. AndrewsPennsylvania State University, University ParkKimmo ErikssonMälardalen University College, Vasteras, Sweden

The theory of integer partitions is a subjectof enduring interest as well as a majorresearch area. It has found numerousapplications, including celebrated resultssuch as the Rogers-Ramanujan identities.The aim of this introductory textbook is toprovide an accessible and wide-rangingintroduction to partitions, without requiringanything more than some familiarity withpolynomials and infinite series. Manyexercises are included, together with somesolutions and helpful hints.Contents:1. Introduction; 2. Euler and beyond; 3. Ferrersgraphs; 4. The Rogers-Ramanujan identities; 5.Generating functions; 6. Formulas for partitionfunctions; 7. Gaussian polynomials; 8. Durfeesquares; 9. Euler refined; 10. Plane partitions; 11.Growing Ferrers boards; 12. Musings; A. Infiniteseries and products; B. References; C. Solutionsand hints.2004/152 pp./58 line diagrams/5 tables84118-6/Hb/List: $75.00Disc.: $60.0060090-1/Pb/List: $27.99Disc.: $22.39

Basic HypergeometricSeriesSecond EditionGeorge GasperNorthwestern University, Evanston, ILMizan RahmanCarleton University, Ottawa, Ontario, Canada“...the definitive work on the subject.The book is remarkable in manyways....it is clearly and carefullywritten.”—SIAM ReviewContents:Foreword; Preface; 1. Basic hypergeometricseries; 2. Summation, transformation, andexpansion formulas; 3. Additional summation,transformation, and expansion formulas; 4. Basiccontour integrals; 5. Bilateral basic hypergeometricseries; 6. The Askey-Wilson q-Beta integral andsome associated formulas; 7. Applications toorthogonal polynomials; 8. Further applications;9. q-Series in two and more variables; 10. Linearand bilinear generating functions for basicorthogonal polynomials; 11. Summation andtransformation formulas for elliptic hypergeometricseries; Appendices; References; Author index;Symbol index; Subject indexEncyclopedia of Mathematics andits Applications 962004/454 pp.83357-4/Hb/List: $120.00Disc.: $96.00

Number Theory

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Automatic SequencesTheory, Applications, GeneralizationsJean-Paul AlloucheCNRS-LSI, Orsay, FranceJeffrey ShallitUniversity of Waterloo, Ontario, Canada“The book is a successful combinationof a monograph (almost encyclopedic)and an introduction to the subject.Professional mathematicians andtheoretical computer scientists willfind the most important results,applications and examples of thetheory, with motivation, cleverlycollected and clearly represented.Selected applications in numbertheory, combinatorics on words andphysics show the strength of thetheory. Lists of open questions showthe way for further development.All this is supplemented with abibliographical notes and comments,and an impressive list ofreferences...This is a good andcarefully written book by two expertsin the field.”—Guentcho Skordev, University of BremenContents:Preface; 1. Stringology; 2. Number theoryand algebra; 3. Numeration systems; 4. Finiteautomata and other models of computation;5. Automatic sequences; 6. Uniform morphismsand automatic sequences; 7. Morphic sequences;8. Frequency of letters; 9. Characteristic words;10. Subwords; 11. Cobham’s theorem;12. Formal power series; 13. Automatic realnumbers; 14. Multidimensional automaticsequences; 15. Automaticity; 16. k-regularsequences; 17. Physics; A. Hints ... for selectedexercises.2003/588 pp./170 line diagrams/460 exercises82332-3/Hb/List: $53.00Disc.: $42.40

Geometry &Topology

Riemannian GeometryA Modern IntroductionSecond EditionIsaac ChavelRequiring only an understanding ofdifferentiable manifolds, Isaac Chavelcovers introductory ideas followed by aselection of more specialized topics in thissecond edition. He provides a clearertreatment of many topics, with newproofs of some theorems and a newchapter on the Riemannian geometry ofsurfaces. Among the classical topicsshown in a new setting is isoperimetricinequalities in curved spaces. Completelynew themes created by curvature includethe classical Rauch comparison theoremand its consequences in geometry andtopology, and the interaction ofmicroscopic behavior of the geometrywith the macroscopic structure of thespace.Contents:1. Riemannian manifolds; 2. Riemanniancurvature; 3. Riemannian volume; 4. Riemanniancoverings; 5. Surfaces; 6. Isoperimetric inequalities(constant curvature); 7. The kinetic density;8. Isoperimetric inequalities (variable curvature);9. Comparison and finiteness theoremsCambridge Studies inAdvanced Mathematics 982006/c. 392 pp./22 line diagrams85368-0/Hb/List: $85.00*Disc.: $68.00*61954-8/Pb/List: $37.99*Disc.: $30.39*

The Cube-A Windowto Convex andDiscrete GeometryChuanming ZongWestern Washington University

This tract has two purposes: to show whatis known about the n-dimensional unitcubes and to demonstrate how Analysis,Algebra, Combinatorics, Graph Theory,Hyperbolic Geometry, and Number Theorycan be applied to the study of them.Contents:Preface; Basic notation; 0. Introduction;1. Inscribed simplices; 2. Projections; 3. Inscribedsimplices; 4. Triangulations; 5. 0/1 polytopes;6. Minkowski’s conjecture; 7. Furtwangler’sconjecture; 8. Keller’s conjecture; Bibliography;Index.Cambridge Tracts in Mathematics 1682006/184 pp./6 figures/6 line diagrams85535-7/Hb/List: $70.00Disc.: $56.00

Fundamentals ofHyperbolic 3-ManifoldsSelected ExpositionsEditors Richard CanaryUniversity of Michigan, Ann ArborAlbert MardenUniversity of Minnesota, MinneapolisDavid EpsteinUniversity of Warwick, UKContents and Contributors:Preface 2005; Preface; Part I. Notes on Notesof Thurston R. D. Canary, D. B. A. Epstein and P.Green; Part II. Convex Hulls in Hyperbolic Space,a Theorem of Sullivan, and Measured PleatedSurfaces D. B. A. Epstein and A. Marden; Part III.Earthquakes in Two-Dimensional HyperbolicGeometry William P. Thurston; Part IV. Lectureson Measures on Limit Sets of Kleinian GroupsS. J. Patterson.London Mathematical Society LectureNote Series 3282006/c. 350 pp./75 figures/75 line diagrams61558-5/Pb/List: $60.00*Disc.: $48.00*

Geometry and TopologyMiles ReidUniversity of Warwick, UKBalazs SzendröiUniversity of Oxford

Geometry is central to many branches ofmathematics and physics, and offers acomplete range of views on the universe.This volume is an introduction to theideas and includes many simpleexplanations and examples. Prerequisitesare minimal, so it is ideally suited tobeginning courses in, and newcomers to,the subject. It places special emphasis oncoordinate systems and the coordinatechanges that generate symmetries. Thebook is based on many years of teachingexperience so is thoroughly class-tested.There are many illustrations and chaptersend with a collection of exercises,solutions to which are available forteachers.Contents:0. Introduction; 1. Euclidean geometry;2. Composing maps; 3. Non-Euclidean;4. Affine geometry; 5. Projective geometry;6. Geometry and group theory; 7. Topology;8. Geometry of transformation groups;9. Concluding remarks; A. Metrics;B. Linear algebra; References; Index.2005/214 pp./1 halftone/92 figures/92 line diagrams/156 exercises84889-X/Hb/List: $95.00Disc.: $76.0061325-6/Pb/List: $45.00Disc.: $36.00

Number Theory / Geometry & Topology

11www.cambridge.org/us/mathematics

Combinatorial andComputationalGeometryEditors Jacob E. GoodmanCity University of New York, NYJános PachCity University of New York andNew York UniversityEmo WelzlEidgenössische Technische Hochschule Zürich,Switzerland

During the past few decades, the gradualmerger of Discrete Geometry and thenewer discipline of ComputationalGeometry has provided enormous impetusto mathematicians and computerscientists interested in geometricproblems. This volume, which contains32 papers on a broad range of topics ofcurrent interest in the field, is anoutgrowth of that synergism. It includessurveys and research articles exploringgeometric arrangements, polytopes,packing, covering, discrete convexity,geometric algorithms and theircomplexity, and the combinatorialcomplexity of geometric objects,particularly in low dimension.Contributors:Pankaj K. Agarwal, Sariel Har-Peled, KasturiVaradarajan, Imre Barany, Alexander Barvinok,Grigoriy Blekherman, Saugata Basu, Jacob E.Goodman, Andreas Holmsen, Richard Pollack,Saugata Basu, Richard Pollack, Marie-FrancoiseRoy, Margaret M. Bayer, Andras Bezdek, KarolyBezdek, Tibor Bisztriczky, Karoly Boroczky,Alexander Bobenko, Peter Brass, Gruia Calinescu,Adrian Dumitrescu, Erik D. Demaine, JosephO’Rourke, Mike Develin, Francisco Santos, BerndSturmfels, Herbert Edelsbrunner, Patrice Koehl,Richard G. Ehrenborg, David Eppstein, Eva MariaFeichtner, Gabor Fejes Toth, Peter Gritzmann,Thorsten Theobald, Aladar Heppes, WlodzimierzKuperberg, Michael Joswig, Hagit Last, YuanxinLiu, Jack Snoeyink, Bernard Mourrain, FabriceRouillier, Niranjan Nilakantan, Janos Pach, RomPinchasi, Joerg Rambau, Istvan Talata, Csaba D.Toth, Geza Toth, Pavel Valtr, Santosh VempalaMathematical Sciences Research InstitutePublications 522005/528 pp.84862-8/Hb/List: $80.00Disc.: $64.00

Geometric Mechanicsand SymmetryThe Peyresq LecturesEditors James MontaldiUniversity of Manchester Institute ofScience and Technology, UKTudor RatiuÉcole Polytechnique Fédérale, Lausanne,SwitzerlandContents and Contributors:1. Stability in Hamiltonian systems: applicationsto the restricted three-body problem K. R. Meyer,B. Rink and T. Tuwankotta; 2. A crash course ingeometric mechanics T. S. Ratiu, E. Sousa Dias,L. Sbano, G. Terra and R. Tudoran; 3. The Euler-Poincare variational framework for modeling fluiddynamics D. D. Holm; 4. No polar coordinatesR. H. Cushman, D. Sadovskii and K. Efstanthiou;5. Survey on dissipative KAM theory includingquasi-periodic bifurcation theory H. Broer,M.-C. Ciocci and A. Litvak-Hinenzon;6. Symmetric Hamiltonian bifurcationsP.-L. Buono, F. Laurent-Polz and J. Montaldi.London Mathematical Society LectureNote Series 3062005/412 pp.53957-9/Pb/List: $75.00Disc.: $60.00

MathematicalIllustrationsA Manual of Geometryand PostScriptBill CasselmanUniversity of British Columbia, Vancouver, Canada“This book will take a permanentplace on my bookshelf and I willsurely recommend it highly to anyoneinterested in geometry, mathematics,and illustrations as well as those whoappreciate a good mathematicalread.”—Computing ReviewsContents:1. Getting started in PostScript; 2. Elementarycoordinate geometry; 3. Variables and procedures;4. Coordinates and conditionals; 5. Drawingpolygons: loops and arrays; 6. Curves;7. Drawing curves automatically: procedures asarguments; 8. Non-linear 2D transformations:deconstructing paths; 9. Recursion in PostScript;10. Perspective and homogeneous coordinates;11. Introduction to drawing in three dimensions;12. Transformations in 3D; 13. PostScript in 3D;14. Drawing surfaces in 3D; Appendix 1. Summaryof PostScript commands; Appendix 2. Setting upyour PostScript environment; Appendix 3.Structured PostScript documents; Appendix 4.Simple text display; Appendix 5. Zooming;Appendix 6. Evaluating polynomials: gettingalong without variables; Appendix 7. ImportingPostScript files; Epilogue2005/336 pp./364 line diagrams83921-1/Hb/List: $90.00Disc.: $72.0054788-1/Pb/List: $39.99Disc.: $31.99

Introduction toCircle PackingThe Theory of DiscreteAnalytic FunctionsKenneth StephensonUniversity of Tennessee, Knoxville

The topic of ‘circle packing’ was born ofthe computer age but takes its inspirationand themes from core areas of classicalmathematics. A circle packing is aconfiguration of circles having a specifiedpattern of tangencies, as introduced byWilliam Thurston in 1985. This book laysout their study, from first definitions tolatest theory, computations, andapplications. The topic can be enjoyed forthe visual appeal of the packing images -over 200 in the book and the eleganceof circle geometry, for the clean line oftheory, for the deep connections toclassical topics, or for the emergingapplications.Contents:Part I. An Overview of Circle Packing:1. A circle packing menagerie; 2. Circle packingsin the wild; Part II. Rigidity: Maximal Packings:3. Preliminaries: topology, combinatorics, andgeometry; 4. Statement of the fundamentalresult; 5. Bookkeeping and monodromy;6. Proof for combinatorial closed discs;7. Proof for combinatorial spheres;8. Proof for combinatorial open discs; 9. Prooffor combinatorial surfaces; Part III. Flexibility:Analytic Functions: 10. The intuitive landscape;11. Discrete analytic functions; 12. Constructiontools; 13. Discrete analytic functions on the disc;14. Discrete entire functions; 15. Discrete rationalfunctions; 16. Discrete analytic functions onRiemann surfaces; 17. Discrete conformalstructure; 18. Random walks on circle packings;Part IV: 19. Thurstons Conjecture; 20. Extendingthe Rodin/Sullivan theorem; 21. Approximationof analytic functions; 22. Approximation ofconformal structures; 23. Applications; AppendixA. Primer on classical complex analysis; AppendixB. The ring lemma; Appendix C. Doyle spirals;Appendix D. The Brooks parameter; Appendix E.Schwarz and buckyballs; Appendix F. Inversivedistance packings; Appendix G. Graph embedding;Appendix H. Square grid packings; Appendix I.Experimenting with circle packings.2005/368 pp./10 color plates190 line diagrams82356-0/Hb/List: $60.00Disc.: $48.00

Geometry & Topology

12Call 1-800-872-7423 • Fax 845-353-4141

Projective DifferentialGeometry Old and NewFrom the SchwarzianDerivative to Cohomology ofDiffeomorphism GroupsV. OvsienkoInstitut Girard Desargues, Lyon, FranceS. TabachnikovPennsylvania State University, University ParkContents:Preface: why projective?; 1. Introduction;2. The geometry of the projective line;3. The algebra of the projective line andcohomology of Diff(S1); 4. Vertices of projectivecurves; 5. Projective invariants of submanifolds;6. Projective structures on smooth manifolds;7. Multi-dimensional Schwarzian derivatives anddifferential operators; Appendix 1. Five proofs ofthe Sturm theorem; Appendix 2. The language ofsymplectic and contact geometry; Appendix 3.The language of connections; Appendix 4. Thelanguage of homological algebra; Appendix 5.Remarkable cocycles on groups ofdiffeomorphisms; Appendix 6. The GodbillonVeyclass; Appendix 7. The Adler-Gelfand-Dickeybracket and infinite-dimensional Poissongeometry; Bibliography; Index.Cambridge Tracts in Mathematics 1652004/262 pp.83186-5/Hb/List: $85.00Disc.: $68.00

Knots and LinksPeter CromwellNA Software, UK

Knot theory is the study of embeddingsof circles in space. Peter Cromwell haswritten a textbook on knot theorydesigned for use in advancedundergraduate or beginning graduate-level courses. The exposition is detailedand careful yet engaging and full ofmotivation. Numerous examples andexercises serve to help students throughthe material, while an instructor’s manualis available online.Contents:Preface; 1. Introduction; 2. A topologists toolkit;3. Link diagrams; 4. Constructions anddecompositions of links; 5. Spanning surfaces andgenus; 6. Matrix invariants; 7. The Alexander-Conway polynomial; 8. Rational tangles;9. More polynomials; 10. Closed braids and arcpresentations; Appendix A. Knot diagrams;Appendix B. Numerical invariants; Appendix C.Properties; Appendix D. Polynomials; Appendix E.Polygon coordinates; Appendix F. Familyproperties; Bibliography; Index.2004/346 pp./100 line diagrams83947-5/Hb/List: $110.00Disc.: $88.0054831-4/Pb/List: $50.00Disc.: $40.00

A Sampler of Riemann-Finsler GeometryEditors David BaoUniversity of Houston, TXRobert L. BryantDuke University, Durham, NCShiing-Shen ChernUniversity of California, BerkeleyZhongmin ShenIndiana University-Purdue University, Indianapolis

Finsler geometry generalizes Riemanniangeometry in the same sense that Banachspaces generalize Hilbert spaces. Thisbook presents an expository account ofseven important topics in Riemann-Finslergeometry, ones which have recentlyundergone significant development buthave not had a detailed pedagogicaltreatment elsewhere. Each article willopen the door to an active area ofresearch, and is suitable for a specialtopics course in graduate-level differentialgeometry.Contents and Contributors:1. Volumes on normed and Finsler spaces J. C.Alverez Paiva and A. C. Thompson; 2. Anisotropicand crystalline mean curvature flow GiovanniBellettini; 3. Finsler geometry on complex vectorbundles Tadashi Aikou; 4. Finsler geometry ofholomorphic jet bundles Karen Chandler and Pit-Mann Wong; 5. Ricci and flag curvatures in Finslergeometry David Bao and Colleen Robles; 6.Nonreversible Finsler metrics of positive flagcurvature Hans-Bert Rademacher; 7. Landsbergcurvature, S-curvature and Riemann curvatureZhongmin Shen.Mathematical Sciences Research InstitutePublications2004/376 pp.83181-4/Hb/List: $75.00Disc.: $60.00

Integral Geometry andGeometric ProbabilitySecond EditionLuis SantalóUniversidad de Buenos Aires, ArgentinaContents:Part I. Integral Geometry in the Plane: 1. Convexsets in the plane; 2. Sets of points and Poissonprocesses in the plane; 3. Sets of lines in theplane; 4. Pairs of points and pairs of lines;5. Sets of strips in the plane; 6. The group ofmotions in the plane: kinematic density;7. Fundamental formulas of Poincare andBlaschke; 8. Lattices of figures; Part II. GeneralIntegral Geometry: 9. Differential forms and Liegroups; 10. Density and measure in homogenousspaces; 11. The affine groups; 12. The group ofmotions in En; Part III. Integral Geometry in En:13. Convex sets in En; 14. Linear subspaces,convex sets and compact manifolds; 15. Thekinematic density in En; 16. Geometric andstatistical applications: stereology; Part IV. IntegralGeometry in Spaces of Constant Curvature:17. Noneuclidean integral geometry; 18. Crofton’s

formulas and the kinematic fundamental formulain noneuclidean spaces; 19. Integral geometry andfoliated spaces: trends in integral geometryCambridge Mathematical Library2004/424 pp./55 line diagrams52344-3/Pb/List: $55.00Disc.: $44.00

Electromagnetic Theoryand ComputationA Topological ApproachPaul W. GrossMathematical Sciences Research Institute andHewlitt-Packard/Agilent, San FranciscoP. Robert KotiugaBoston University, MA

Although topology was recognized byGauss and Maxwell to play a pivotal rolein the formulation of electromagneticboundary value problems, it is a largelyunexploited tool for field computation.The development of algebraic topologysince Maxwell provides a framework forlinking data structures, algorithms, andcomputation to topological aspects ofthree-dimensional electromagneticboundary value problems. This bookattempts to expose the link betweenMaxwell and a modern approach toalgorithms.Contents:1. From vector calculus to algebraic topology;2. Quasistatic electromagnetic fields; 3. Dualitytheorems for manifolds with boundary; 4. Thefinite element method and data structures;5. Computing eddy currents on thin conductorswith scalar potentials; 6. An algorithm to makecuts for magnetic scalar potentials; 7. A paradigmproblem.Mathematical Sciences Research InstitutePublications 482004/288 pp.80160-5/Hb/List: $75.00Disc.: $60.00

Rational and NearlyRational VarietiesJános KollárPrinceton University, NJKaren E. SmithUniversity of Michigan, Ann ArborAlessio CortiUniversity of Cambridge, UK

Arising from a summer school coursetaught by János Kollár, this book developsthe modern theory of rational varieties ata level appropriate for graduate study.Kollár’s original course has beendeveloped, with his co-authors, into astate-of-the-art treatment of theclassification of algebraic varieties. Theauthors have included numerous exerciseswith solutions, which help students reach

Geometry & Topology

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the stage where they can begin to tacklerelated contemporary research problems.Contents:Introduction; 1. Examples of rational varieties;2. Cubic surfaces; 3. Rational surfaces;4. Nonrationality and reduction modulo p;5. The Noether-Fano method; 6. Singularitiesof pairs; 7. Solutions to exercises.Cambridge Studies inAdvanced Mathematics 922004/242 pp.83207-1/Hb/List: $55.00Disc.: $44.00

The Geometry of TotalCurvature on CompleteOpen SurfacesKatsuhiro ShiohamaSaga University, JapanTakashi ShioyaTohoku University, SendaiMinoru TanakaTokai University, Hiratsuka

This independent account of modern ideasin differential geometry shows how theycan be used to understand and extendclassical results in integral geometry. Theauthors explore the influence of totalcurvature on the metric structure ofcomplete, non-compact Riemannian 2-manifolds, although their work can beextended to more general spaces. Eachchapter features open problems, makingthe volume a suitable learning aid forgraduate students and non-specialistswho seek an introduction to this modernarea of differential geometry.Contents:1. Riemannian geometry; 2. Classical results byCohn-Vossen and Huber; 3. The ideal boundary;4. The cut loci of complete open surfaces;5. Isoperimetric inequalities; 6. Mass of rays;7. Poles and cut loci of a surface of revolution;8. Behaviour of geodesics.Cambridge Tracts in Mathematics 1592003/294 pp./45 line diagrams45054-3/Hb/List: $80.00Disc.: $64.00

Introduction toFoliations and LieGroupoidsIeke MoerdijkUniversiteit Utrecht, The NetherlandsJanez MrcunUniversity of Ljubljana, Slovenia“This book, though relatively short, ispacked with interesting information.The student who would like a briefbut substantial introduction tofoliation theory will find it rewarding,but should be prepared for some hardwork. There are many exercises, oftenchallenging, and these illuminate theideas and sometimes incorporatesignificant steps of proofs.”—Bulletin of the American Mathematical SocietyContents:1. Foliations; 2. Holonomy and stability;3. Two classical theorems; 4. Molinos theory;5. Lie groupoids; 6. Lie algebroids.Cambridge Studies inAdvanced Mathematics 912003/184 pp./30 line diagrams83197-0/Hb/List: $55.00Disc.: $44.00

Computational AlgebraicGeometryHal SchenckTexas A&M University, College Station“Schenck’s book offers an interestingpath into this wonderful subject...Any student who completes thisbook will be excited about algebraicgeometry and well-equipped forfurther reading.”—Bulletin of the American Mathematical SocietyContents:Preface; 1. Basics of commutative algebra;2. Projective space and graded objects;3. Free resolutions and regular sequences;4. Gröbner bases; 5. Combinatorics and topology;6. Functors: localization, hom, and tensor;7. Geometry of points; 8. Homological algebra,derived functors; 9. Curves, sheaves andcohomology; 10. Projective dimension;A. Abstract algebra primer; B. Complex analysisprimer; Bibliography.London Mathematical SocietyStudent Texts 582003/208 pp.82964-X/Hb/List: $80.00Disc.: $64.0053650-2/Pb/List: $29.99Disc.: $23.99

MathematicalPhysics

The Three-Body ProblemMauri ValtonenUniversity of Turku, FinlandHannu KarttunenUniversity of Turku

How do three celestial bodies move undertheir mutual gravitational attraction?This problem has been studied byIsaac Newton and leading mathe-maticians over the last two centuries.Poincaré’s conclusion, that the problemrepresents an example of chaos in nature,opens the new possibility of using astatistical approach. For the first timethis book presents these methods in asystematic way, surveying statistical aswell as more traditional methods. Thisbook is suitable for students at advancedundergraduate and graduate level.Contents:1. Astrophysics and three-body problem;2. Newtonian mechanics; 3. Two-body problem;4. Hamiltonian mechanics; 5. The planar restrictedcircular three-body problem and other specialcases; 6. Three-body scattering; 7. Escape in thegeneral three body problem; 8. Scattering andcapture in the general problem; 9. Perturbationsin hierarchical systems; 10. Perturbations in strongthree-body encounters; 11. Some astrophysicalproblems.2006/c. 368 pp./85 figures/85 line diagrams/96 exercises85224-2/Hb/List: $80.00Disc.: $64.00

Poisson Geometry,DeformationQuantisation and GroupRepresentationsEditors Simone GuttUniversite Libre de Bruxelles, Brussels, BelgiumJohn RawmsleyUniversity of Warwick, UKDaniel SternheimerUniversite de Borgogne, France

Poisson geometry lies at the cusp ofnoncommutative algebra and differentialgeometry, with natural and importantlinks to classical physics and quantummechanics. This book presents anintroduction to the subject from a smallgroup of leading researchers, and theresult is a volume accessible to graduatestudents or experts from other fields.Contents and Contributors:1. Poisson geometry and Morita equivalenceHenrique Bursztyn and Alan Weinstein; 2.Formality and star products Alberto S. Cattaneo

Geometry & Topology / Mathematical Physics

14Call 1-800-872-7423 • Fax 845-353-4141

and D. Indelicato; 3. Lie groupoids, sheaves andcohomology I. Moerdijk and J. MrCun;4. Geometric methods in representation theoryWilfried Schmid and Matvei Libine;5. Deformation theory: a powerful tool in physicsmodelling Daniel Sternheimer.London Mathematical Society LectureNote Series 3232005/370 pp.61505-4/Pb/List: $60.00Disc.: $48.00

Now in paperback…

String TheoryJoseph PolchinskiUniversity of California, Santa BarbaraContents:Volume I: 1. A first look at strings; 2. Conformalfield theory; 3. The Polyakov path integral; 4. Thestring spectrum; 5. The string S-matrix; 6. Treelevel amplitudes; 7. One loop amplitudes; 8.Toroidal compactification and T-duality; 9. Higherorder amplitudes; Appendix A. A short course onpath integrals; References; Glossary; Index.Volume 2: 10. Type I and type II superstrings;11. The heterototic string; 12. Superstringinteractions; 13. D-branes; 14. Strings at strongcoupling; 15. Advanced conformal field theory;16. Orbifolds; 17. Calabi-Yau compactification;18. Spacetime physics; 19. Advanced topics;Appendix B. Spinors and SUSY in variousdimensions; References; Glossary; Index.Cambridge Monographs onMathematical Physics2005/976 pp./66 line diagrams/12 tables/196 exercises

Volume 1: An Introduction tothe Bosonic String67227-9/Pb/List: $45.00Disc.: $36.00

Volume 2:Superstring Theory and Beyond67228-7/Pb/List: $45.00Disc.: $36.00

2 Volume Set67229-5/Pb/List: $80.00Disc.: $64.00

A Course in ModernMathematical PhysicsGroups, Hilbert Space andDifferential GeometryPeter SzekeresUniversity of Adelaide, Australia

Presenting an introduction to themathematics of modern physics foradvanced undergraduate and graduatestudents, this textbook introduces thereader to modern mathematical thinkingwithin a physics context. The book alsoincludes exercises and proofed examplesto test the students’ understanding of thevarious concepts, as well as to extend thetext’s themes.

Contents:Introduction; 1. Sets and structures; 2. Groups;3. Vector spaces; 4. Linear operators and matrices;5. Inner product spaces; 6. Group representationtheory; 7. Algebras; 8. Tensors; 9. Exterior algebra;10. Special relativity; 11. Topology; 12. Differentialgeometry; 13. Differential forms; 14. Integrationon manifolds; 15. Connections and curvature;16. Lie groups and Lie algebras; 17. Classicalmechanics; 18. General relativity and cosmology;19. Fibre bundles and gauge theories; 20. Hilbertspace; 21. Quantum theory.2005/616 pp./30 line diagrams/160 exercises82960-7/Hb/List: $70.00Disc.: $56.00

Quantum GravityCarlo RovelliCentre de Physique Theorique, Marseille, France

Quantum gravity is one of the major“open” problems in theoretical physics,and the loop and spinfoam approach inthis book is a major research area in thefield. Emphasizing conceptual andfoundational issues raised by quantumgravity, especially on the nature of spaceand time, the text is intended forresearchers working in quantum gravityand graduate students.Contents:Preface; Acknowledgements; Terminology andnotation; Part I. Relativistic Foundations:1. General relativity; 2. General relativity;3. Relativistic mechanics; 4. Hamiltonian generalrelativity; 5. Quantum mechanics; Part II. LoopQuantum Gravity: 6. Quantum space; 7. Quantumspacetime: the Hamiltonian operator; 8. Matter;9. Applications; 10. Quantum spacetime:spinfoams; 11. Discussion; Part III. Appendices:A. Mathematical appendices; B. History;C. On method and truth; ReferencesCambridge Monographs onMathematical Physics2004/480 pp./40 line diagrams/5 tables83733-2/Hb/List: $80.00Disc.: $64.00

Two-DimensionalWavelets and theirRelativesJean-Pierre AntoineUniversité Catholique de Louvain, BelgiumRomain MurenziClark Atlanta University, GAPierre VandergheynstSwiss Federal Institute of Technology, Lausanne,SwitzerlandSyed Twareque AliConcordia University, Montréal, Quebec, Canada“This authoritative, beautiful bookearns a place on any wavelets shortlist. Highly recommended.”—CHOICEContents:Prologue; 1. Warm-up: the 1-D continuouswavelet transform; 2. The 2-D continuous wavelettransform; 3. Some 2-D wavelets and theirperformances; 4. Applications of the 2-D CWT I.

Image processing; 5. Applications of the 2-D CWTII. Physical applications; 6. Matrix geometry ofwavelet analysis I; 7. Matrix geometry of waveletanalysis II; 8. Minimal uncertainty and Wignertransformations; 9. Higher-dimensional wavelets;10. Spatio-temporal wavelets and motionestimation; 11. Beyond wavelets; Epilogue;Appendix 1; Bibliography; Index.2004/476 pp./19 halftones/137 figures/115line diagrams/3 tables62406-1/Hb/List: $130.00Disc.: $104.00

Topological SolitonsNicholas MantonUniversity of Cambridge, UKPaul SutcliffeUniversity of Kent

This book introduces the main examplesof topological solitons in classical fieldtheories, discusses the forces betweensolitons, and surveys in detail both staticand dynamic multi-soliton solutions. Kinksin one dimension, lumps and vortices intwo dimensions, monopoles andSkyrmions in three dimensions, andinstantons in four dimensions are alldiscussed.Contents:1. Introduction; 2. Lagragians and fields; 3.Topology in field theory; 4. Solitons: generaltheory; 5. Kinks; 6. Lumps and rational maps; 7.Vortices; 8. Monopoles; 9. Skyrmions; 10.Instantons; 11. Saddle points: SphaleronsCambridge Monographs onMathematical Physics2004/506 pp./76 line diagrams/7 tables83836-3/Hb/List: $130.00Disc.: $104.00

A Relativist’s ToolkitThe Mathematics ofBlack-Hole MechanicsEric PoissonUniversity of Guelph, Ontario, Canada“This book amply fulfills its promise:its coverage is sufficiently completeto enable a dedicated reader toundertake sophisticated calculationswith confidence and it even providesa reference to a handy computerpackage for tensor manipulations...an elegant, thoughtful, useful andaltogether commendable timelypublication.”—Contemporary PhysicsContents:Preface; Notation and conventions;1. Fundamentals; 2. Geodesic congruences;3. Hypersurfaces; 4. Langrangian and Hamiltonianformulation of general relativity; 5. Black holes;Bibliography2004/250 pp./39 line diagrams/3 tables/50 exercises83091-5/Hb/List: $65.00Disc.: $52.00

Mathematical Physics

15www.cambridge.org/us/mathematics

A First Course inString TheoryBarton ZwiebachMassachusetts Institute of Technology, Cambridge“There is a great curiosity aboutstring theory, not only among physicsundergraduates but also amongprofessional scientists outside of thefield. This audience needs a text thatgoes much further than the popularaccounts but without the full technicaldetail of a graduate text. Zwiebach’sbook meets this need in a clear andaccessible manner. It is well-groundedin familiar physical concepts, andproceeds through some of the mosttimely and exciting aspects of thesubject.”—Professor Joseph Polchinski,University of California, Santa BarbaraContents:Part I. Basics: 1. A brief introduction;2. Special relativity and extra dimensions;3. Electromagnetism and gravitation; 4. Non-relativistic strings; 5. The relativistic point particle;6. Relativistic strings; 7. String parameterizationand motion; 8. World-sheet currents; 9. Light-conerelativistic strings; 10. Light-cone fields andparticles; 11. Relativistic quantum particles;12. Quantum open strings; 13. Quantum closedstrings; Part II. Developments: 14. D-branes andgauge fields; 15. String charge and electriccharge; 16. String thermodynamics and blackholes; 17. T-dualitiy of closed strings; 18. T-dualityof open strings; 19. Electromagnetic fields on D-branes; 20. Nonlinear electrodynamics;21. Covariant string quantization; 22. Interactionsand Riemannian surfaces; 23. Loop amplitudes instring theory; Bibliography2004/578 pp./100 line diagrams/8 tables/151 exercises83143-1/Hb/List: $68.00Disc.: $54.40

Elements of theRandom WalkAn Introduction for AdvancedStudents and ResearchersJoseph RudnickUniversity of California, Los AngelesGeorge GaspariUniversity of California, Santa Cruz“Excellent…I warmly recommend amost rewarding and challengingtextbook.”—Contemporary PhysicsContents:1. Introduction to techniques; 2. Generatingfunctions I; 3. Generating functions II: recurrence,sites visited and the role of dimensionality;4. Boundary conditions, steady state and theelectrostatic analogy; 5. Variations on the randomwalk; 6. The shape of a random walk; 7. Pathintegrals and self-avoidance; 8. Properties of therandom walk: introduction to scaling; 9. Scaling of

walks and critical phenomena; 10. Walks andthe O(n) model: mean field theory and spinwaves; 11. Scaling, fractals and renormalization;12. More on the renormalization group2004/346 pp./2 halftones/102 line diagrams/2 tables/97 exercises82891-0/Hb/List: $70.00Disc.: $56.00

Analysis &Probability

Complex Analysis withMathematica®William ShawUniversity of Oxford, UK

This volume exploits MATHEMATICA®

for its power to illustrate, calculate orfunction as an investigative tool.The CD contains the entire manuscript inMATHEMATICA® enabling readers to useor modify any of the code featured in thebook. The book can be used as a textbookfor several different courses in complexanalysis for mathematicians, physicists,or engineers.Contents:Part I. The Basics: 1. Why you need complexnumbers; 2. Basic complex algebra and geometry;3. Cubics, quartics, differential and differenceequations + a trip to the movies; Part II.Experimental Mathematics: 4. A complex viewof the real logistical map; 5. The Mandelbrot set;6. Newton-Raphson iteration and complexfractals; 7. Symmetric chaos in the complex plane;Part III. Formal Complex Analysis: 8. Complexfunctions; 9. Sequences, series and power series;10. Complex differentiation; 11. Paths andcomplex integration; 12. Cauchy’s theorem;13. Cauchy’s integral formula and its remarkableconsequences; 14. Laurent series, zeroes,singularities and residues; 15. The calculus ofresidues: integration and summation; Part IV.Traditional Applications: 16. Conformal mapping I:simple analytical mappings and Mobiustransforms; 17. Fourier transforms; 18. Laplacetransforms; 19. Elementary applications to 2-dimensional physics; Part 5. AdvancedApplications: 20. Numerical transform techniques;21. Conformal mapping II: the Schwarz-Christoffeltransformation; 22. Tiling the Euclidean andhyperbolic planes; 23. Physics in 3D & 4D I:spinors, Lorentz transformations and minimalsurfaces; 24. Physics in 3D & 4D II: solving theLaplace and wave equations.2006/c. 500 pp./16 color plates/50 halftones/100 line diagrams83626-3/Hb/List: $70.00*Disc.: $56.00*

Analytic Methods inTomographyAndrew MarkoeRider University, Lawrenceville, NJ

This book is a comprehensive study ofthe Radon transform, which operateson a function by integrating it overhyperplanes. The book begins with anelementary and graphical introduction tothe Radon transform, tomography andCT scanners, followed by a rigorousdevelopment of the basic properties ofthe Radon transform. Next the authorintroduces Grassmann manifolds in thestudy of the k-plane transform (a versionof the Radon transform) which integratesover k-dimensional planes rather thanhyperplanes. The remaining chapters areconcerned with more advanced topics.Contents:1. Computerized tomograpy, X-rays, and the Radontransform; 2. The Radon transform; 3. The k planetransform, the Radon-John transform; 4. Range anddifferential equations; 5. Generalizations andvariants of the Radon transformEncyclopedia of Mathematics andits Applications 1062006/408 pp./14 halftones/59 line diagrams79347-5/Hb/List: $100.00Disc.: $80.00

The Lévy LaplacianM.N. FellerUkrNIIMOD, Kiev, Ukraine

The Lévy Laplacian is an infinite-dimensional generalization of the well-known classical Laplacian. The theory hasbecome well-developed in recent yearsand this book is the first systematictreatment of the Lévy-Laplace operator.The book describes the infinite-dimensionalanalogues of finite-dimensional results,and more especially those features whichappear only in the generalized context. Itdevelops a theory of operators generatedby the Lévy Laplacian and the symmetrizedLévy Laplacian, as well as a theory of linearand nonlinear equations involving it. Thiswork will be valued by those working infunctional analysis, partial differentialequations and probability theory.Contents:Introduction; 1. The Lévy Laplacian; 2. Lévy-Laplaceoperators; 3. Symmetric Lévy-Laplace operators;4. Harmonic functions of infinitely many variables;5. Linear elliptic and parabolic equations withLévy Laplacians; 6. Quasilinear and nonlinearelliptic equation with Lévy Laplacians; 7. Nonlinearparabolic equations with Lévy Laplacians;8. Appendix. Lévy-Dirichlet forms and associatedMarkov processes; Bibliography; Index.Cambridge Tracts in Mathematics 1662005/160 pp.84622-6/Hb/List: $70.00Disc.: $56.00

Mathematical Physics / Analysis & Probability

16Call 1-800-872-7423 • Fax 845-353-4141

Probability and Statisticsby ExampleVolume 1, Basic Probability andStatisticsYuri SuhovUniversity of Cambridge, UKMichael KelbertUniversity of Wales

Because probability and statistics are asmuch about intuition and problem solvingas they are about theorem proving,students can find it very difficult to makea successful transition from lectures toexaminations and practice. Since thesubject is critical in many modernapplications, Yuri Suhov and MichaelKelbert have rectified deficiencies intraditional lecture-based methods bycombining a wealth of exercises for whichthey have supplied complete solutions.These solutions are adapted to needs andskills of students and include basicmathematical facts as needed.Contents:Introduction; Part A. Probability: A1. Discreteoutcomes; A2. Continuous outcomes; A3. Indexof problems for Part A; Part B. Statistics: B1.Parameter estimation; B2. Hypothesis testing;B3. Tripos exam questions in IB statistics (1992-2004); Tables of random variables and probabilitydistributions; Glossary.2005/372 pp./43 figures/43 line diagrams/2 tables84766-4/Hb/List: $110.00Disc.: $88.0061233-0/Pb/List: $50.00Disc.: $40.00

Measures, Integrals andMartingalesRene L. SchillingThis is a concise and elementaryintroduction to contemporary measureand integration theory as it is needed inmany parts of analysis and probabilitytheory. Undergraduate calculus and anintroductory course on rigorous analysis inR are the only essential prerequisites,making the text suitable for both lecturecourses and for self-study. Numerousillustrations and exercises are included toconsolidate what has already beenlearned and to discover variants andextensions to the main material. Hints andsolutions will be available on the Internet.Contents:Prelude; Dependence chart; Prologue; 1. Thepleasures of counting; 2. o-algebras; 3. Measures;4. Uniqueness of measures; 5. Existence of

measures; 6. Measurable mappings; 7.Measurable functions; 8. Integration of positivefunctions; 9. Integrals of measurable functionsand null sets; 10. Convergence theorems andtheir applications; 11. The function spaces; 12.Product measures and Fubini’s theorem; 13.Integrals with respect to image measures; 14.Integrals of images and Jacobi’s transformationrule; 15. Uniform integrability and Vitali’sconvergence theorem; 16. Martingales; 17.Martingale convergence theorems; 18. The Radon-Nikodym theorem and other applications ofmartingales; 19. Inner product spaces; 20. Hilbertspace; 21. Conditional expectations; 22.Orthonormal systems and their convergencebehaviour; Appendix a: Lim inf and lim supp;Appendix b: Some facts from point-set topology;Appendix c: The volume of a parallelepiped;Appendix d: Non-measurable sets; Appendix e:A summary of the Riemann integral; Furtherreading; Bibliography; Notation index; Nameand subject index.2006/394 pp./15 figures/5 graphs/15 line diagrams/500 exercises85015-0/Hb/List: $90.00Disc.: $72.0061525-9/Pb/List: $50.00Disc.: $40.00

Functional Analysis forProbability andStochastic ProcessesAdam BobrowskiLublin University of Technology, Poland

Designed for students of probability andstochastic processes, as well as forstudents of functional analysis,specifically, this volume presents somechosen parts of functional analysis thatcan help clarify probability and stochasticprocesses. Numerous standard and non-standard examples and exercises makethe book suitable as a course textbook orfor self-study.Contents:1. Preliminaries, notations, conventions;2. Basic notations in functional analysis;3. Conditional expectation; 4. Brownian motionand Hilbert spaces; 5. Dual spaces andconvergence of probability measures;6. The Gelfand transform and its applications;7. Semigroups of operators and Lévy processes;8. Markov processes and semigroups of operators;9. Appendixes; References; Index.2005/400 pp./250 exercises83166-0/Hb/List: $95.00Disc.: $76.0053937-4/Pb/List: $50.00Disc.: $40.00

An Introduction toPartial DifferentialEquationsYehuda PinchoverTechnion-Israel Institute of Technology, HaifaJacob RubinsteinIndiana University, Bloomington

A complete introduction to partialdifferential equations, this textbookprovides a rigorous yet accessible guideto students in mathematics, physics andengineering. The presentation is lively andup to date, placing particular emphasis ondeveloping an appreciation of underlyingmathematical theory. A rich collectionof worked examples and exercisesaccompany the text, along with a largenumber of illustrations and graphs toprovide insight into the numericalexamples.Contents:1. Introduction; 2. First-order equations;3. Second-order linear equations; 4. The 1D waveequation; 5. Separation of variables; 6. Sturm-Liouville problem; 7. Elliptic equations; 8. Greensfunction and integral representation; 9. Equationsin high dimensions; 10. Variational methods;11. Numerical methods; 12. Solutions of odd-numbered problems.2005/384 pp./35 figures/35 line diagrams/200 exercises84886-5/Hb/List: $120.00Disc.: $96.0061323-X/Pb/List: $45.00Disc.: $36.00

Perturbation of theBoundary in Boundary-Value Problems of PartialDifferential EquationsD. Henryformerly Universidade de Sao Paulo, BrazilContents:Introduction; 1. Geometrical preliminaries;2. Differential calculus of boundary perturbations;3. Examples using the implicit function theorem;4. Bifurcation problems; 5. The transversalitytheorem; 6. Generic perturbation of the boundary;7. Boundary operators for second-order ellipticequations; 8. The method of rapidly-oscillatingsolutionsLondon Mathematical Society LectureNote Series 3182005/214 pp./13 line diagrams57491-9/Pb/List: $60.00Disc.: $48.00

Analysis & Probability

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Harmonic MeasureJohn B. GarnettUniversity of California, Los AngelesDonald E. MarshallUniversity of Washington, Seattle

During the past two decades severalremarkable new results were discoveredabout harmonic measure in the complexplane. This volume offers a careful surveyof these results and an introduction tothe branch of analysis that contains them.Many of these results, due to Bishop,Carleson, Jones, Makarov, Wolff, andothers, appear here in book form for thefirst time. This work is accessible tostudents who have completed standardgraduate courses in real and complexanalysis.Contents:1. Jordan domains; 2. Finitely connecteddomains; 3. Potential theory; 4. Extremal distance;5. Applications and reverse inequalities; 6. Simplyconnected domains, part one; 7. Bloch functionsand quasicircles; 8. Simply connected domains,part two; 9. Infinitely connected domains;10. Rectifiability and quadratic expressions;Appendices.New Mathematical Monographs 22005/588 pp.47018-8/Hb/List: $110.00Disc.: $88.00

Well-Posed LinearSystemsEditor Olof Johan StaffansÅbo Akademi, Finland

This is the first book dealing with well-posed infinite-dimensional linear systemswith an input, a state, and an output in aHilbert or Banach space setting. It is alsothe first to describe the class of non-well-posed systems induced by system nodes.This work will be indispensable to allworking in systems theory, operatortheory, delay equations and partialdifferential equations.Contents:1. Introduction and overview; 2. Basic propertiesof well-posed linear systems; 3. Stronglycontinuous semigroups; 4. The generations ofa well-posed linear system; 5. Compatible andregular systems; 6. Anti-causal, dual and invertedsystems; 7. Feedback; 8. Stabilization anddetection; 9. Realizations; 10. Admissibility;11. Passive and conservative scattering systems;12. Discrete time systems; 13. AppendixEncyclopedia of Mathematics andits Applications 1032005/794 pp./80 figures82584-9/Hb/List: $150.00Disc.: $120.00

Large Deviations andMetastabilityEnzo OlivieriUniversita di Roma Tor Vergata, RomeMaria Eulália VaresCentro Brasileiro de Pesquisas Fisicas,Rio de Janeiro

The book provides a general introductionto the theory of large deviations anda wide overview of the metastablebehaviour of stochastic dynamics.With only minimal prerequisites, the bookcovers all the main results and brings thereader to the most recent developments.Written to be accessible to graduatestudents, this book provides an excellentroute into contemporary research.Contents:Preface; 1. Large deviations: basic results;2. Small random perturbations of dynamicalsystems: basic estimates of Freidlin and Wentzell;3. Large deviations and statistical mechanics;4. Metastability I: general description, theCurie-Weiss model and contact processes;5. Metastability II: the models of Freidlin andWentzell; 6. Reversible Markov chains in theFreidlin-Wentzell regime; 7. Metastable behaviourfor lattice spin models at low temperature;Bibliography; Index.Encyclopedia of Mathematics andits Applications 1002005/528 pp./50 line diagrams59163-5/Hb/List: $150.00Disc.: $120.00

An Introduction toNonlinear AnalysisMartin SchechterUniversity of California, Irvine

The techniques used to solve nonlinearproblems differ greatly from those dealingwith linear features. Deriving all thenecessary theorems and principles fromfirst principles, this textbook gives upperundergraduates and graduate students athorough understanding using as littlebackground material as possible.Contents:1. Extrema; 2. Critical points; 3. Boundary valueproblems; 4. Saddle points; 5. Calculus ofvariations; 6. Degree theory; 7. Conditionalextrema; 8. Minimax methods; 9. Jumpingnonlinearities; 10. Higher dimensionsCambridge Studies inAdvanced Mathematics 952005/376 pp.84397-9/Hb/List: $80.00Disc.: $64.00

A Short Course onBanach Space TheoryN.L. CarothersBowling Green State University, OH

This short course on classical Banachspace theory is a natural follow-up toa first course on functional analysis.The topics covered have proven usefulin many contemporary research arenas,such as harmonic analysis, the theory offrames and wavelets, signal processing,economics, and physics. The book isintended for use in an advanced topicscourse or seminar, or for independentstudy.Contents:Preface; 1. Classical Banach spaces;2. Preliminaries; 3. Bases in Banach spaces;4. Bases in Banach spaces II; 5. Bases in Banachspaces III; 6. Special properties of C0, l1, and l;7. Bases and duality; 8. Lp spaces; 9. Lp spaces II;10. Lp spaces III; 11. Convexity; 12. C(K) Spaces;13. Weak compactness in L1; 14. The Dunford-Pettis property; 15. C(K) Spaces II; 16. C(K) SpacesIII; A. Topology review.London Mathematical SocietyStudent Texts2004/196 pp.84283-2/Hb/List: $80.00Disc.: $64.0060372-2/Pb/List: $34.99Disc.: $27.99

Singular Points ofPlane CurvesC.T.C. WallUniversity of Liverpool, UK

The text covers all the essentials in a stylethat is detailed and expertly written byone of the foremost researchers andteachers in the field. Ideal for eithercourse use or independent study, thevolume guides students through the keyconcepts that will enable them to moveon to more detailed study or researchwithin the field.Contents:1. Preliminaries; 2. Puiseux’ theorem;3. Resolutions; 4. Contact of two branches;5. Topology of the singularity link; 6. The Milnorfibration; 7. Projective curves and their duals;8. Combinatorics on a resolution tree;9. Decomposition of the link complement andthe Milnor fibration; 10. The monodromy andthe Seifert form; 11. Ideals and clusters.London Mathematical SocietyStudent Texts 632004/382 pp./24 line diagrams83904-1/Hb/List: $95.00Disc.: $76.0054774-1/Pb/List: $50.00Disc.: $40.00

Analysis and Probability

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AnalysisAn IntroductionRichard BealsYale University, New Haven, CT

This self-contained text, suitable foradvanced undergraduates, provides anextensive introduction to mathematicalanalysis from the fundamentals to moreadvanced material. A large number ofexamples and 500 exercises allows thereader to test understanding and providesa window into further topics.Contents:1. Introduction; 2. The real and complex numbers;3. Real and complex sequences; 4. Series;5. Powerseries; 6. Metric spaces; 7. Continuous functions;8. Calculus; 9. Some special functions;10. Lebesgue measure on the line; 11. Lebesgueintegration on the line; 12. Function spaces; 13.Fourier series; 14. Applications of Fourier series;15. Ordinary differential equations; Appendix: theBanach-Tarski paradox; Hints for some exercises.2004/272 pp.84072-4/Hb/List: $90.00Disc.: $72.0060047-2/Pb/List: $50.00Disc.: $40.00

UnderstandingProbabilityChance Rules in Everyday LifeHenk TijmsVrije University, Amsterdam, The Netherlands

Mastering the concepts of probability cancast new light on situations in whichrandomness and chance appear to rule.With an emphasis on why probability worksand how it can be applied, Henk Tijmsintroduces the reader to the world ofprobability in an informal way. Lotteries andcasino games provide a natural source ofmotivation, and he carefully discusses thesewith many worked examples to illustratethe key concepts from probability theory.Contents:Part I. Probability in Action: 1. Probabilityquestions; 2. The law of large numbers andsimulation; 3. Probabilities in everyday life;4. Rare events and lotteries; 5. Probability andstatistics; 6. Chance trees and Bayes’ rule;Part II: 7. Foundations of Probability Theory;8.Conditional probability and Bayes; 9. Basic rulesfor discrete random variables; 10. Continuousrandom variables; 11. Jointly distributed randomvariables; 12. Multivariate normal distribution; 13.Conditional distributions; 14. Generating functions2004/390 pp./41 line diagrams/22 tables83329-9/Hb/List: $75.00Disc.: $60.0054036-4/Pb/List: $32.99Disc.: $26.39

The Direct Method inSoliton TheoryRyogo HirotaWaseda University, Tokyo, Japan

Editors Jon NimmoUniversity of Glasgow, Scotland, UKClaire GilsonUniversity of Glasgow

Translated byAtsushi NagaiOsaka University, Japan

The bilinear, or Hirota’s direct method,was invented in the early 1970s as anelementary means of constructing solitonsolutions that avoided the use of thecomplex calculations of the inversescattering transform. This analysis isessentially concerned with the moremodern version of the method. Stillmaintaining the original philosophy ofusing relatively simple mathematics, themethod has, nevertheless, been influencedby the work of the Kyoto school, and willbe essential for all working in solitontheory.Contents:Preface; Foreword; 1. Bilinearization ofsoliton equations; 2. Determinants and pfaffians;3. Structure of soliton equations; 4. Bäcklundtransformations; Afterword; References; IndexCambridge Tracts in Mathematics 1552004/212 pp./12 figures83660-3/Hb/List: $70.00Disc.: $56.00

Irresistible IntegralsSymbolics, Analysis and Experimentsin the Evaluation of IntegralsGeorge BorosXavier University of Louisiana, New OrleansVictor H. MollTulane University, New Orleans“This book would be perfect in a basicelective course to hone calculus andproof writing skills and as enrichmentreading for talented calculus students.Highly recommended.”– ChoiceContents:1. Introduction; 2. Factorials and binomialcoefficients; 3. The method of partial fractions;4. A simple rational function; 5. A review of powerseries; 6. The exponential and logarithm functions;7. The trigonometric functions and pi; 8. A quarticintegral; 9. The normal integral; 10. Eulerasconstant; 11. Eulerian integrals: the Gamma andBeta functions; 12. The Riemann zeta function;13. Logarithmic integrals; 14. A master formula;15. Appendix: the revolutionary WZ method2004/320 pp.79186-3/Hb/List: $75.00Disc.: $60.0079636-9/Pb/List: $29.99Disc.: $23.99

MultidimensionalReal AnalysisVolumes 1 & 2J.J. DuistermaatUniversiteit Utrecht, The NetherlandsJ.A.C. KolkUniversiteit Utrecht `

This two-volume set provides a sweepingaccount of analysis in multidimensionalEuclidean space. The volumes are idealpreparation for students who wish tocontinue on to more advanced study.Numerous exercises illustrating a varietyof applications in mathematics andphysics are combined with exhaustivecoverage of the subject matter to makethe books suitable as either the texts fora course, or a source of problems for aseminar or for self-study.Contents:Volume 1: 1. Continuity; 2. Differentiation;3. Inverse function and implicit function theorems;4. Manifolds; 5. Tangent spaces; Exercises.Volume 2: 1. Integration; 2. Integration oversubmanifolds; 3. Oriented integration; Exercises.Cambridge Studies inAdvanced Mathematics Series2004/834 pp.82930-5/2 Vol. Hardback Set/List: $140.00Disc.: $112.00

Volume 1: Differentiation2004/440 pp./50 line diagrams55114-5/Hb/List: $75.00Disc.: $60.00

Volume 2: Integration2004/394 pp./50 line diagrams82925-9/Hb/List: $75.00Disc.: $60.00

An Introduction toOrdinary DifferentialEquationsJames RobinsonUniversity of Warwick, UK

This introduction to ordinary differentialand difference equations is suitable notonly for mathematicians but for scientistsand engineers as well. Exact solutionsmethods and qualitative approaches arecovered, and many illustrative examplesare included. Matlab is used to generategraphical representations of solutions.Numerous exercises are featured andproved solutions are available forteachers.Contents:Introduction; Part I: First order differentialequations; Part II: Second order linear equationswith constant coefficients; Part III: Linear secondorder equations with variable coefficients; Part IV:

Analysis and Probability

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Numerical methods and difference equations;Part V: Coupled linear equations; Part VI: Couplednonlinear equations2004/414 pp./60 line diagrams/120 exercises82650-0/Hb/List: $110.00Disc.: $88.0053391-0/Pb/List: $50.00Disc.: $40.00

Introduction to BanachAlgebras, Operators, andHarmonic AnalysisGarth DalesUniversity of Leeds, UKPietro AienaUniversitá di Palermo, ItalyJörg EschmeirUniversität des Saarlandes, Saarbrücken, GermanyKjeld LaursenUniversity of Copenhagen, DenmarkGeorge WillisUniversity of Newcastle, Callaghan, Australia

This volume enables readers with a basicknowledge of functional analysis toaccess key research in the field. Theauthors survey several areas of currentinterest, making this volume idealpreparatory reading for studentsembarking on graduate work as well asfor mathematicians working in relatedareas.Contents:1. Banach algebras; 2. Harmonic analysis andamenability; 3. Invariant subspaces; 4. Localspectral theory; 5. Single-valued extensionproperty and Fredholm theoryLondon Mathematical SocietyStudent Texts 572003/336 pp.82893-7/Hb/List: $95.00Disc.: $76.0053584-0/Pb/List: $45.00Disc.: $36.00

Period Mappings andPeriod DomainsJames CarlsonUniversity of Utah, Salt Lake CityStefan Müller-StachUniversitaet Mainz, GermanyChris PetersUniversity of Grenoble, FranceContents:Part I. Basic Theory of the Period Map: 1.Introductory examples; 2. Cohomology of compactKähler manifolds; 3. Holomorphic invariants andcohomology; 4. Cohomology of manifolds varyingin a family; 5. Period maps looked atinfinitesimally; Part II. The Period Map: AlgebraicMethods: 6. Spectral sequences; 7. Koszulcomplexes and some applications; 8. Furtherapplications: Torelli theorems for hypersurfaces; 9.Normal functions and its applications; 10.Applications to algebraic cycles: Nori’s theorem;Part III: Differential Geometric Methods: 11.Further differential geometric tools; 12. Structureof period domains; 13. Curvature estimates and

applications; 14. Harmonic maps and HodgeTheory; Appendix A. Projective varieties andcomplex manifolds; Appendix B. Homology andcohomology; Appendix C. Vector bundles andChern classesCambridge Studies inAdvanced Mathematics 852003/446 pp./20 line diagrams81466-9/Hb/List: $95.00Disc.: $76.00

The Mountain PassTheoremVariants, Generalizations andSome ApplicationsYoussef JabriUniversity of Mohamed I, Oujda, MoroccoContents:1. Retrospective; I. First Steps Toward theMountains: 2. Palais-Smale condition.definitions and examples; 3. Variationalprinciple; 4. Deformation lemma; II. Reachingthe Mountain Pass Through Easy Climbs: 5. Thefinite dimensional MPT; 6. The topological MPT;7. The classical MPT; 8. The multidimensionalMPT; III. A Deeper Insight in Mountain Topology:9. The limiting case in the MPT; 10. Palais-Smalecondition versus asymptotic behavior;11. Symmetry and the MPT; 12. The structure ofthe critical set in the MPT; 13. Weighted Palais-Smale conditions; IV. The Landscape BecomingLess Smooth: 14. The semismooth MPT;15. The nonsmooth MPT; 16. The metric MPT; V.Speculating about the Mountain Pass Geometry:17. The MPT on convex domains; 18. A MPT inorder intervals; 19. The linking principle; 20. Theintrinsic MPT; 21. Geometrically contrained MPT;VI. Technical Climbs: 22. Numerical MPTimplementations; 23. Perturbation from symmetryand the MPT; 24. Applying the MPT in bifurcationproblems; 25. More climbs; A. Backgound materialEncyclopedia of Mathematics andits Applications 952003/382 pp./16 line diagrams82721-3/Hb/List: $110.00Disc.: $88.00

Statistics & Finance

Selected StatisticalPapers of Sir David CoxEditors D.J. HandImperial College London, UKA. M. HerzbergQueen’s University, Kingston, Ontario, Canada

Sir David Cox is one of the seminalstatistical thinkers of the twentieth andtwenty-first centuries. In this selection ofhis work, Professor Cox reviews his mostinfluential and interesting paperspublished before 1993. Each paper is thesubject of a candid commentary writtenespecially for this collection. In these hedescribes the context in which the papers

arose and their subsequent influence. Healso identifies avenues for future research.Organized in two volumes and groupedby theme, the papers and commentariesprovide excellent coverage of many of themost significant advances in statistics inrecent times.Contents:Foreword D. R. Cox; Preface; Part I. Design ofInvestigations: Design of experiments; Sampling.Part II. Statistical Methods: Point process data;Binary data; Survival data; Multivariate analysis;Miscellaneous. Part III. Applications: Publicationsof Sir David Cox.

Volume 1: Design of Investigations,Statistical Methods and Applications2006/c. 600 pp.84939-X/Hb/List: $180.00Disc.: $144.00

Volume 2: Foundations of StatisticalInference, Theoretical Statistics, TimeSeries and Stochastic Processes2006/c. 550 pp.84940-3/Hb/List: $180.00Disc.: $144.00

Volumes 1 and 22006/c. 1150 pp.85816-X/2 Vol. Hardback Set/List: $320.00Disc.: $256.00

Essentials ofStatistical InferenceG.A. YoungImperial College of Science, Technology andMedicine, London, UKR.L. SmithUniversity of North Carolina, Chapel Hill

This textbook presents the conceptsand results underlying the Bayesian,frequentist, and Fisherian approachesto statistical inference, with particularemphasis on the contrasts between them.Aimed at advanced undergraduatesand graduate students in mathematicsand related disciplines, it covers basicmathematical theory as well as moreadvanced material.Contents:Preface; Introduction; 1. Decision theory;2. Bayesian methods; 3. Hypothesis testing;4. Special models; 5. Sufficiency andcompleteness; 6. Two-sided tests andconditional inference; 7. Likelihood theory;8. Higher-order theory; 9. Predictive inference;10. Bootstrap methods; References; Index.Cambridge Series in Statistical and Probabilistic Mathematics 162005/236 pp./27 figures/92 exercises83971-8/Hb/List: $60.00Disc.: $48.00

Analysis & Probability / Statistics & Finance

20Call 1-800-872-7423 • Fax 845-353-4141

Elements of DistributionTheoryThomas A. SeveriniNorthwestern University, Evanston, IL

This detailed introduction uses nomeasure theory, making it suitable forresearch in statistics and econometrics.Contents:1. Properties of probability distributions; 2.Conditional distributions and expectation; 3.Characteristic functions; 4. Moments andcumulants; 5. Parametric families of distributions;6. Stochastic processes; 7. Distribution theory forfunctions of random variables; 8. Normaldistribution theory; 9. Approximation of integrals;10. Orthogonal polynomials; 11. Approximationof probability distributions; 12. Central limittheorems; 13. Approximation to the distributionsof more general statistics; 14. Higher-orderasymptotic approximations.Cambridge Series in Statistical andProbabilistic Mathematics 172005/528 pp./14 line diagrams/10 tables84472-X/Hb/List: $65.00Disc.: $52.00

Statistical ModelsTheory and PracticeDavid A. FreedmanUniversity of California, Berkeley

Explaining the things you need to knowin order to read empirical papers in thesocial and health sciences, as well astechniques needed to build personalstatistical models, this user-friendlyvolume includes background material onstudy design, bivariate regression, andmatrix algebra. To develop technique,Freedman also includes computer labs,with sample computer programs, andillustrates the principles and pitfalls ofmodeling. The book is rich in exerciseswith answers. Target audiences includeundergraduates and beginning graduatestudents in statistics, as well as studentsand professionals in the social and healthsciences.Contents:1. Observational studies and experiments;2. The regression line; 3. Matrix algebra;4. Multiple regression; 5. Path models;6. Maximum likelihood; 7. The bootstrap;8. Simultaneous equations; References;Answers to exercises; The computer labs;Appendix: Sample MATLAB code; Reprints; Index.2005/424 pp./23 line diagrams85483-0/Hb/List: $80.00Disc.: $64.0067105-1/Pb/List: $34.99Disc.: $27.99

Matrix AlgebraKarim M. AbadirUniversity of York, UKJan R. MagnusTilburg University, The Netherlands

The first volume of the EconometricExercises Series, Matrix Algebra containsexercises relating to course material inmatrix algebra that students are expectedto know while enrolled in an (advanced)undergraduate or a postgraduate coursein econometrics or statistics. The bookfeatures a comprehensive collection ofexercises with complete answers. Morethan just a collection of exercises, thevolume is a textbook organized in acompletely different manner than theusual textbook. It can be used as a self-contained course in matrix algebra oras a supplementary text.Econometric Exercises 12005/488 pp./9 line diagrams82289-0/Hb/List: $90.00Disc.: $72.0053746-0/Pb/List: $39.99Disc.: $31.99

Branching ProcessesVariation, Growth, andExtinction of PopulationsEditors Patsy HaccouRijksuniversiteit Leiden, The NetherlandsPeter JagersChalmers University of Technology, Goteborg,SwedenVladimir A. VatutinSteklov Institute of Mathematics, Moscow, Russia

Branching processes allow us to makepredictions about extinction risks and thedevelopment of population composition,and also uncover aspects of apopulation’s history from its currentgenetic composition. These processesplay an increasingly important role inmodel genetics, molecular biology,microbiology, ecology, and evolutionarytheory. This book presents mathematicalideas for a biological audience and willalso be appreciated by mathematicians.Contents:Preface; Notations; 1. Generalities; 2. Discrete-time branching processes; 3. Branching incontinuous time; 4. Large populations; 5.Extinction; 6. Development of populations; 7.Specific models; Appendix; References.Cambridge Studies inAdaptive Dynamics 52005/330 pp./55 line diagrams83220-9/Hb/List: $100.00Disc.: $80.00

Bayesian Logical DataAnalysis for thePhysical SciencesA Comparative Approachwith Mathematica SupportPhil GregoryUniversity of British Columbia, Vancouver, Canada

Researchers in many branches of scienceare increasingly coming into contactwith Bayesian statistics or Bayesianprobability theory. This book providesa clear exposition of the underlyingconcepts with large numbers of workedexamples and problem sets.Contents:1. Role of probability theory in science;2. Probability theory as extended logic;3. The how-to of Bayesian inference; 4. Assigningprobabilities; 5. Frequentist statistical inference;6. What is a statistic?; 7. Frequentist hypothesistesting; 8. Maximum entropy probabilities;9. Bayesian inference (Gaussian errors); 10. Linearmodel fitting (Gaussian errors); 11. Nonlinearmodel fitting; 12. Markov Chain Monte Carlo;13. Bayesian spectral analysis; 14. Bayesianinference (Poisson sampling); Appendix A. Singularvalue decomposition; Appendix B. Discrete FourierTransform; Appendix C. Difference in two samples;Appendix D. Poisson ON/OFF details; Appendix E.Multivariate Gaussian from maximum entropy2005/486 pp./4 halftones/132 figures/128 line diagrams/74 exercises84150-X/Hb/List: $75.00Disc.: $60.00

Insurance Risk and RuinDavid DicksonUniversity of Melbourne, Australia

Suitable for a first course in insurancerisk theory, this book focuses on the twomajor areas of risk theory–aggregateclaims distributions and ruin theory.For aggregate claims distributions,detailed descriptions are given ofrecursive techniques that can be used inthe individual and collective risk models.For the collective model, different classesof counting distribution are discussed,and recursion schemes for probabilityfunctions and moments presented.For the individual model, the three mostcommonly applied techniques arediscussed and illustrated. Care has beentaken to make the book accessible toreaders who have a solid understandingof the basic tools of probability theory.Numerous worked examples are includedin the text and each chapter concludeswith exercises.Contents:1. Probability distributions and insuranceapplications; 2. Utility theory; 3. Principles ofpremium calculation; 4. The collective risk model;5. The individual risk model; 6. Introduction to

Statistics and Finance

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ruin theory; 7. Classical ruin theory; 8. Advancedruin theoryInternational Series on Actuarial Science2005/242 pp./40 figures/50 line diagrams/95exercises84640-4/Hb/List: $65.00Disc.: $52.00

Statistical Analysis ofStochastic Processes inTimeJ.K. LindseyUniversity of Liège, Belgium

This introduction to ways of modelling awide variety of phenomena that occurover time is accessible to anyone with abasic knowledge of statistical ideas.J.K. Lindsey concentrates on tractablemodels involving simple processes forwhich explicit probability models, hencelikelihood functions, can be specified.(These models are the most useful instatistical applications modelling empiricaldata.) Examples are drawn from physical,biological and social sciences, to showhow the book’s underlying ideas can beapplied, and data sets and R code aresupplied for them.Contents:Preface; Part I. Basic Principles: 1. What is astochastic process?; 2. Normal theory models andextensions; Part II. Categorical State Space:3. Survival processes; 4. Recurrent events;5. Discrete-time Markov chains; 6. Event histories;7. Dynamics modules; 8. More complexdependencies; Part III. Continuous State Space:9. Time series; 10. Growth curves; 11. Dynamicmodels; 12. Repeated measurements;Bibliography; Author index; Subject indexCambridge Series in Statistical andProbabilistic Mathematics 142004/352 pp./40 figures/20 graphs/10 tables/35 exercises83741-3/Hb/List: $75.00Disc.: $60.00

An Introduction toFinancial OptionValuationMathematics, Stochastics andComputationDesmond HighamUniversity of Strathclyde, Glasgow, Scotland, UK“...well organized and wellwritten...an excellent introductorytext. It will be useful to students froma wide range of backgrounds and anessential complement to the standardundergraduate course which embeds

mathematical finance into probabilitytheory.”—UK Nonlinear NewsContents:1. Introduction; 2. Option valuation preliminaries;3. Random variables; 4. Computer simulation;5.Asset price movement; 6. Asset price model: part I;7. Asset price model: part II; 8. Black-Scholes PDEand formulas; 9. More on hedging; 10. The Greeks;11. More on the Black-Scholes formulas; 12. Riskneutrality; 13. Solving a nonlinear equation; 14.Implied volatility; 15. The Monte Carlo method;16. The binomial method; 17. Cash-or-nothingoptions; 18. American options; 19. Exotic options;20. Historical volatility; 21. Monte Carlo part II:variance reduction by antithetic variates; 22.Monte Carlo part III: variance reduction by controlvariates; 23. Finite difference methods; 24. Finitedifference methods for the Black-Scholes PDE.2004/296 pp./95 figures/120 exercises83884-3/Hb/List: $95.00Disc.: $76.0054757-1/Pb/List: $45.00Disc.: $36.00

Dynamical Systems

Modern DynamicalSystems andApplicationsEditors Michael BrinUniversity of Maryland, College ParkBoris HasselblattTufts University, Medford, MAYakov PesinPennsylvania State University, State College

Presenting a wide cross-section of currentresearch in the theory of dynamicalsystems, this collection consists of articlesby leading researchers (and several Fieldsmedallists) in a variety of specialties.Surveys featuring new results, as well asresearch papers, are included because oftheir potentially high impact. Major areascovered include hyperbolic dynamics,elliptic dynamics, mechanics, geometry,ergodic theory, group actions, rigidity,and applications. The target audience isdynamicists, as well as mathematiciansfrom other disciplines.Contributors:Michael Brin, Boris Hasselblatt, Yakov Pesin, VitalyBergelson, Alex Gorodnik, Patrick Eberlein, BensonFarb, Robert Zimmer, Bassam Fayad, Renato Feres,Hillel Furstenberg, Chao-Hui Lin, Daniel Rudolph,Klaus Schmidt, Ralf Spatzier, Jairo Bochi, MarceloViana, Dmitri Burago, S. Ivanov, Keith Burns,Dmitry Dolgopyat, Steven Hurder, MichaelJakobson, Oliver Jenkinson, Mark Pollicott, Rafaelde la Llave, Yuri Kifer, Sheldon Newhouse,Domokos Szasz, Tamas Varju, Jean-ChristopheYoccoz, Melanie Bertelson, Michael Gromov, MarkLevi, Gregory Margulis, John Mather, SergeTabachnikov, Christina Bonatti, John Franks,

Michael Boyle, Jack Wagoner, Alexander Blokh,Chris Cleveland, Michal Misiurewicz, JorgSchmeling, B. Host, Bryna Kra, Jean-PaulThourvenot2004/474 pp.84073-2/Hb/List: $110.00Disc.: $88.00

Topics from One-Dimensional DynamicsKaren M. BrucksUniversity of Wisconsin, MilwaukeeHenk BruinUniversity of Surrey, UK

One-dimensional dynamics has generatedmany results, and avenues of activemathematical research with numerousinroads to this research remain to bepursued by the advanced undergraduateor beginning graduate student. Whilemuch of the material in this book is notcovered elsewhere, some aspects presentnew research topics whose connectionsare drawn to other research areas fromthe text.Contents:1. Topological roots; 2. Measure theoretic roots;3. Symbolic & topological dynamics; 4. Beginningmeasurable dynamics; 5. Map; 6. Kneading maps;7. Some number theory; 8. Circle maps;9. Topological entropy; 10. Symmetric tent maps;11. Adding machines & maps; 12. Beta-transformations and maps; 13. Homeomorphicrestrictions; 14. Complex quadratic dynamicsLondon Mathematical SocietyStudent Texts 622004/312 pp.83896-7/Hb/List: $95.00Disc.: $76.0054766-0/Pb/List: $45.00Disc.: $36.00

A First Course inDynamicsWith a Panorama ofRecent DevelopmentsBoris HasselblattTufts University, Medford, MAAnatole KatokPennsylvania State University, University Park“I highly recommend this book foran advanced undergraduate course indynamical systems.”—Mathematical ReviewsContents:1. What is a dynamical system; Part I. SimpleBehavior in Dynamical Systems: 2. Systemswith stable asymptotic behavior; 3. Linear mapsand linear differential equations; Part II.Complicated Behavior in Dynamical Systems:4. Quasiperiodicity and uniform distribution onthe circle; 5. Quasiperiodicity and uniformdistribution in higher dimension; 6. Conservativesystems; 7. Simple systems with complicated orbitstructure; 8. Entropy and chaos; 9. Simple

Statistics and Finance / Dynamical Systems

22Call 1-800-872-7423 • Fax 845-353-4141

dynamics as a tool; Part 3. Panorama ofDynamical Systems: 10. Hyperbolic dynamics;11. Quadratic maps; 12. Homoclinic tangles;13. Strange attractors; 14. Diophantineapproximation and applications of dynamics tonumber theory; 15. Variational methods, twistmaps, and closed geodesics; Appendix; Solutions2003/436 pp./140 line diagrams58304-7/Hb/List: $100.00Disc.: $80.0058750-6/Pb/List: $39.99Disc.: $31.99

Fluid Dynamics &Solid Mechanics

Lagrangian FluidDynamicsAndrew BennettOregon State University, Corvallis

Starting from the foundations ofelementary kinematics and assumingsome familiarity of Eularian fluiddynamics, this book reviews the classicaland new exact solutions of theLagrangian framework, and thenaddresses the general solvability of theresulting general equations of motion.Written at graduate level, the bookprovides the first detailed andcomprehensive analytical development ofthe Lagrangian formulation of fluiddynamics, of interest not only to appliedmathematicians but also oceanographers,meteorologists, mechanical engineers,astrophysicists and indeed allinvestigators of the dynamics of fluids.Contents:Part I. The Lagrangian Formulation: 1. Lagrangiankinematics; 2. Lagrangian statistics; 3. Lagrangiandynamics; 4. Coordinates; 5. Real fluids; Part II.Lagrangian Flows: 6. Some analytical Lagrangiansolutions; 7. Waves, instabilities and vortices;8. Viscous incompressible flow; 9. Generalsolvability; Part III. Diffusion: 10. Absolutedispersion; 11. Relative dispersion; 12. Convectivesubranges, scalar variance spectrum; 13. Diffusion;Part IV. Lagrangian Data: 14. Observing systems;15. Data analysis: the single particle; 16. Dataanalysis: particle clusters; References.Cambridge Monographs on Mechanics2006/c. 350 pp./20 figures/20 line diagrams85310-9/Hb/List: $95.00Disc.: $76.00

Dynamics of Particlesand Rigid BodiesA Systematic ApproachAnil RaoBoston University, MA

This volume is ideal for undergraduateswho want a systematic and rigorousapproach to the subject of particle andrigid body dynamics. Rao’s presentationof concepts illuminates the connectionbetween the theory and its application,a connection that is further enhancedthrough his step-by-step vector mechanicsapproach to solving problems.Contents:1. Introductory concepts; 2. Kinematics; 3. Kineticsof particles; 4. Kinetics of systems of particles;5. Mass properties and kinetics of rigid bodies;A. Principal-axis moments of inertia ofhomogeneous bodies; B. Brief table of identities,derivatives, and integrals; C. Answers to selectedproblems; Bibliography.2005/536 pp./11 tables85811-9/Hb/List: $85.00Disc.: $68.00

Prediction ofTurbulent FlowsEditors Geoff HewittUniversity of London, UKChristos VassilicosUniversity of London

The prediction of turbulent flows isof paramount importance in thedevelopment of complex engineeringsystems involving flow, heat and masstransfer, and chemical reactions.Utilizing modern computational fluiddynamics techniques, this book reviewscurrent approximation methods andtheir applicability to various industrialproblems.Contents and Contributors:1. Introduction G. F. Hewitt; 2. Turbulent flows:their structure and behaviour J. C. R. Hunt,N. D. Sandham, J. C. Vassilicos, B. E. Launder,P. A. Monkewitz and G. F. Hewitt; 3. The modellingof turbulent flows affected by buoyancy andstratification B. E. Launder; 4. Turbulent flamesW. P. Jones; 5. Boundary layers under strongdistortion J. F. Morrison; 6. Direct and large eddysimulation N. D. Sandham; 7. Multiphase flowsG. F. Hewitt; 8. Guidelines and criteria for theuse of turbulence models in complex flowsJ. C. R. Hunt and A. M. Savill.2005/350 pp./60 halftones/60 figures83899-1/Hb/List: $175.00Disc.: $140.00

Mathematical Modelingin Continuum MechanicsSecond EditionRoger M. TemamIndiana University, BloomingtonAlain Michael MiranvilleUniversité de Poitiers, France

This second edition will be a uniqueresource for those studying continuummechanics at the advanced undergraduateand beginning graduate level whether inengineering, mathematics, physics or theapplied sciences.Contents:Introduction; A few words about notations;Part I. Fundamental Concepts in ContinuumMechanics: 1. Describing the motion of a system:geometry and kinematics; 2. The fundamental lawof dynamics; 3. The Cauchy stress tensor-applications; 4. Real and virtual powers;5. Deformation tensor, deformation rate tensor,constitutive laws; 6. Energy equations and shockequations; Part II. Physics of Fluids: 7. Generalproperties of Newtonian fluids; 8. Flows of inviscidfluids;9. Viscous fluids and thermohydraulics;10. Magnetohydrodynamics and inertialconfinement of plasmas; 11. Combustion;12. Equations of the atmosphere and of the ocean;Part III. Solid Mechanics: 13. The general equationsof linear elasticity; 14. Classical problems ofelastostatics; 15. Energy theorems—duality:variational formulations; 16. Introduction tononlinear constitutive laws and to homogenization;17. Nonlinear elasticity and an application tobiomechanics; Part IV. Introduction to WavePhenomena: 18. Linear wave equations inmechanics; 19. The soliton equation: the Kortewed-de Vries equation; 20. The nonlinear Schrödingerequation; Appendix; Hints for the exercises;References; Index.2005/354 pp./40 figures/55 exercises61723-5/Pb/List: $55.00Disc.: $44.00

Dynamical Systems / Fluid Dynamics & Solid Mechanics

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PlasticityA Treatise on Finite Deformation ofHeterogeneous Inelastic MaterialsSia Nemat-NasserUniversity of California, San Diego

Providing a basic foundation for advancedgraduate study and research in themechanics of solids, this treatise developssystematically the fundamentals of finiteinelastic deformations of heterogeneousmaterials. The book combines themathematical precision of solid mechanicswith the physics-based micro-structuralknowledge of materials science.Contents:1. Geometry; 2. Kinematics; 3. Stress ad stress-rate measures and balance relations;4. Continuum theories of elastoplasticity;5. Integration of continuum constitutiveequations; 6. Finite plastic flow of single crystals;7. Finite plastic deformation of granular materials;8. Average quantities and homogenizationmodels; 9. Special experimental techniquesCambridge Monographs on Mechanics2004/730 pp./400 figures83979-3/Hb/List: $150.00Disc.: $120.00

Large-Eddy Simulationsof TurbulenceMarcel LesieurLaboratoire des Ecoulements, Grenoble, FranceOlivier MétaisLaboratoire des EcoulementsPierre ComteLaboratoire des Ecoulements

Foreword by James J. RileyUniversity of Washington, Seattle

This volume is an ideal introduction andreference to LES, direct numerical simulationand Reynolds-averaged Navier-Stokessimulation. The text features a detaileddiscussion of vorticity, pressure, and thevelocity gradient tensor, and an in-depthdiscussion of spectral subgrid-scalemodeling. These spectral models give insightinto the requirements and limitations insubgrid-scale modeling and backscattering.The text also features a discussion of large-eddy simulation of compressible flowspreviously only available scatteredthroughout the literature and of interest tothose dealing with supersonic flows,combustion, astrophysics, and related topics.Contents:1. Introduction to LES; 2. Vortex dynamics;3. LES formalism in physical space; 4. Spectral LESfor isotropic turbulence; 5. Spectral LES forinhomogeneous turbulence; 6. Current challengesfor LES; 7. LES of compressible turbulence;8. Geophysical fluid dynamics.2005/248 pp./48 halftones/70 line diagrams/1 table78124-8/Hb/List: $65.00Disc.: $52.00

Multimedia FluidMechanicsMultilingual Version CD-ROMSecond EditionG.M. HomsyUniversity of California, Santa BarbaraK.S. BreuerBrown University, Providence, RIS. HochgrebSandia National Laboratories, Livermore, CAJ.R. KoseffStanford University, CAB.R. MunsonIowa State University, AmesK.G. PowellUniversity of Michigan, Ann Arbor“Homsy and his colleagues have nowprovided us with a new and powerfulteaching aid...This CD is an ambitiousproject, and, in my view, it has beenaccomplished with remarkablesuccess...I have no doubt that thisCD-ROM should be regarded as a ‘settext’ for viscous fluid mechanicscourses at the undergraduate orstarting graduate levels.”—Journal of Fluid Mechanics

This CD-ROM offers an interactive tool forteaching undergraduate fluid mechanics.It features experiments that demonstratefluid mechanical phenomena, animationsof important principles and concepts,virtual laboratories in which studentsacquire data from the images, interactivecomputational exercises in whichparameters can be varied, and otherdescriptive and illuminating material onapplications. The material may beaccessed randomly through a hyperlinkedtext, a search engine, a video library, anda glossary of terms. The new edition hasbeen thoroughly updated and includesversions in English, Spanish and French.200460476-1/CD-ROM/List: $21.00Disc.: $16.80

A Galleryof Fluid MotionM. SamimyOhio State University, ColumbusK. BreuerBrown University, Providence, RIG. LealUniversity of California, Santa BarbaraP. SteenCornell University, Ithaca, NY“A Gallery of Fluid Motion andthe accompanying web page areuseful sources of materials forundergraduate and graduate coursesin fluid mechanics. [It] succeedsboth in conveying the beauty offluid flow and as a reference forcourses in fluid mechanics.”—American Journal of PhysicsContents:1. Jets and mixing layers; 2. Vortices;3. Patterns; 4. Drops and bubbles; 5. Complexfluids; 6. Flows with interfaces; 7. Free surfaceinteraction; 8. Combustion; 9. Instability;10. Transition and turbulence; 11. Compressibleflows; Contributors; Keyword index.2004/128 pp./full color throughout82773-6/Hb/List: $90.00Disc.: $72.0053500-X/Pb/List: $37.99Disc.: $30.39

Theory andComputation inHydrodynamic StabilityW.O. CriminaleUniversity of Washington, SeattleT.L. JacksonUniversity of Illinois, Urbana-ChampaignR.D. JoslinOffice of Naval Research, Arlington, VAContents:1. Introduction and problem formulation;2. Temporal stability of inviscid incompressibleflows; 3. Temporal stability of viscousincompressible flows; 4. Spatial stability ofincompressible flows; 5. Stability of compressibleflows; 6. Centrifugal stability; 7. Geophysical flow;8. Transient dynamics; 9. Nonlinear stability;10. Transition and receptivity; 11. Direct numericalsimulation; 12. Flow control and optimization;13. Investigating hydrodynamic instabilities withexperiments; Bibliography; Index.Cambridge Monographs on Mechanics2003/464 pp./3 halftones/120 line diagrams/17 tables/60 exercises63200-5/Hb/List: $110.00Disc.: $88.00

Fluid Dynamics & Solid Mechanics

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Applied &Numerical Math

Pattern FormationAn Introduction to MethodsRebecca HoyleUniversity of Surrey, UK

From the stripes of a zebra and the spotson a leopard’s back to the ripples on asandy beach or desert dune, regularpatterns arise everywhere in nature.The appearance and evolution of thesephenomena have been a focus of recentresearch activity across several disciplines.This book provides an introduction tothe range of mathematical theory andmethods used to analyze and explainthese often intricate and beautifulpatterns. Bringing together severaldifferent approaches, from group theoreticmethods to envelope equations andtheory of patterns in large-aspect ratio-systems, the book also provides insightbehind the selection of one pattern overanother.Contents:1. What are natural patterns?; 2. A bit ofbifurcation theory?; 3. A bit of group theory?;4. Bifurcations with symmetry; 5. Simple latticepatterns; 6. Superlattices, hidden symmetries andother complications; 7. Spatial modulation andenvelope equations; 8. Instabilities of stripes andtravelling plane waves; 9. More instabilities ofpatterns; 10. Spirals, defects and spiral defectchaos; 11. Large-aspect-ratio systems and theCross-Newell equations.2006/422 pp./8 color plates/30 halftones/100line diagrams/9 tables/50 exercises81750-1/Hb/List: $80.00Disc.: $64.00

Applied OptimizationFormulation and Algorithms forEngineering SystemsRoss BaldickUniversity of Texas, Austin

The starting point in the formulation ofany numerical problem is to take anintuitive idea about the problem inquestion and to translate it into precisemathematical language. This bookprovides step-by-step descriptions of howto formulate numerical problems so thatthey can be solved by existing software. Itexamines various types of numericalproblems and develops techniques forsolving them. A number of engineeringcase studies are used to illustrate in detailthe formulation process. The case studiesmotivate the development of efficientalgorithms that involve, in some cases,

transformation of the problem from itsinitial formulation into a more tractableform.2006/c. 760 pp./180 line diagrams/369exercises85564-0/Hb/List: $80.00*Disc.: $64.00*

Matrix PreconditioningTechniques andApplicationsKe ChenUniversity of Liverpool, UK

Preconditioning techniques have emergedas an essential part of successful andefficient iterative solutions of matrices.Ke Chen’s book offers a comprehensiveintroduction to these methods. Pitched atgraduate level, the book is intended toserve as a useful guide and reference forstudents, computational practitioners,engineers and researchers alike.Contents:1. Introduction; 2. Direct methods; 3. Iterativemethods; 4. Matrix splitting preconditioners [t1];5. Approximate inverse preconditioners [t2];6. Multilevel methods and preconditioners [t3];7. Multilevel recursive Schur complementspreconditioners; 8. Wavelet preconditioners [t5]for ˆA n x n and ˆA -1 n x n; 9. Wavelet Schurpreconditioners [t6]; 10. Implicit waveletpreconditioners [t7]; 11. Application I—acousticscattering modelling; 12. Application II - coupledmatrix problems; 13. Application III—imagerestoration and inverse problems; 14. ApplicationIV-voltage stability in electrical power systems;15. Parallel computing by examples.Cambridge Monographs on Applied andComputational Mathematics 192005/592 pp./2 halftones/83 figures/93 line diagrams/5 tables83828-2/Hb/List: $95.00Disc.: $76.00

Numerical Methodsin Engineeringwith MATLAB®Jaan KiusalaasPennsylvania State University, State College

Numerical Methods in Engineering withMATLAB® is a text for engineeringstudents as well as a reference forpracticing engineers, especially those whowish to explore the power and efficiencyof MATLAB®. The choice of numericalmethods was based on their relevance toengineering problems. Each method isdiscussed thoroughly and illustrated withproblems involving both handcomputation and programming.MATLAB® files accompany each methodand are available on the book web site.

MATLAB® was chosen as the examplelanguage because of its universal use inengineering studies and practice.Contents:1. Introduction to MATLAB®; 2. Systems of linearalgebraic equations; 3. Interpolation and curvefitting; 4. Roots of equations; 5. Numericaldifferentiation; 6. Numerical integration; 7. Initialvalue problems; 8. Two-point boundary valueproblems; 9. Symmetric Matrix Eigenvalueproblems; 10. Introduction to optimization;Appendices.2005/432 pp./133 line diagrams/12 tables85288-9/Hb/List: $85.00Disc.: $68.00

Numerical Methods inEngineering with PythonJaan KiusalaasPennsylvania State University

Python was chosen as the examplelanguage because it is elegant, easy tolearn and debug, and its facilities forhandling arrays are unsurpassed.Contents:1. Introduction to Python; 2. Systems of linearalgebraic equations; 3. Interpolation and curvefitting; 4. Roots of equations; 5. Numericaldifferentiation; 6. Numerical integration;7. Initial value problems; 8. Two-point boundaryvalue problems; 9. Symmetric Matrix Eigenvalueproblems; 10. Introduction to optimization;Appendices.2005/432 pp./133 line diagrams/12 tables85287-0/Hb/List: $85.00Disc.: $68.00

Practical AppliedMathematicsSam HowisonUniversity of Oxford, UK

Drawing from an exhaustive variety ofmathematical subjects, including real andcomplex analysis, fluid mechanics andasymptotics, this book demonstrates howmathematics can be intelligently appliedwithin the specific context to a widerange of industrial uses. The volume isdirected to undergraduate and graduatestudents.Contents:Part I. Modelling Techniques: 1. The basics ofmodelling; 2. Units, dimensions and dimensionalanalysis; 3. Non-dimensionalisation; 4. Casestudies: hair modelling and cable laying;5. Case study: the thermistor (1); 6. Case study:electrostatic painting (1); Part II. MathematicalTechniques: 7. Partial differential equations;8. Case study: traffic modelling; 9. Distributions;10. Theory of distributions; 11. Case study: thepantograph; Part III. Asymptotic techniques: 12.Asymptotic expansions; 13. Regular perturbationexpansions; 14. Case study: electrostatic painting

Applied & Numerical Math

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(2); 15. Case study: piano tuning; 16. Boundarylayers; 17. Case study: the thermistor (2); 18.Lubrication theory analysis; 19. Case study:continuous casting of steel; 20. Lubrication theoryfor fluids; 21. Case study: eggs; 22. Methods foroscillators; 23. Ray theory and other exponentialapproaches.Cambridge Texts inApplied Mathematics 382005/340 pp./50 figures84274-3/Hb/List: $125.00Disc.: $100.0060369-2/Pb/List: $55.00Disc.: $44.00

Numerical Solution ofPartial DifferentialEquationsAn IntroductionSecond EditionBill MortonUniversity of Oxford, UKDavid MayersUniversity of Oxford“...a classic piece of work with whichevery applied mathematician andengineer should become familiar.”—Applied Mechanics Reviews

This second edition of a highly successfulgraduate text presents a completeintroduction to partial differentialequations and numerical analysis.Contents:1. Introduction; 2. Parabolic equations in onespace variable; 3. 2-D and 3-D parabolicequations; 4. Hyperbolic equations in one spacedimension; 5. Consistency, convergence andstability; 6. Linear second order elliptic equationsin two dimensions; 7. Iterative solution of linearalgebraic equations; Bibliography; Index.2005/302 pp./75 figures60793-0/Pb/List: $45.00Disc.: $36.00

Simulating HamiltonianDynamicsB. LeimkuhlerUniversity of Leicester, UKS. ReichImperial College, London, UKContents:1. Molecular models and simulation;2. Canonical Hamiltonian systems; 3. Numericalmethods; 4. Development of geometricintegrators; 5. Multiple time scales in moleculardynamics; 6. Constraints in molecular dynamics;7. Properties of geometric integrators;Bibliography; IndexCambridge Monographs on Applied andComputational Mathematics 142005/396 pp./30 halftones/80 line diagrams77290-7/Hb/List: $75.00Disc.: $60.00

Scattered DataApproximationHolger WendlandGeorg-August-Universität, Göttingen, GermanyContents:1. Applications and motivations;2. Hear spaces and multivariate polynomials;3. Local polynomial reproduction; 4. Moving leastsquares; 5. Auxiliary tools from analysis andmeasure theory; 6. Positive definite functions;7. Completely monotine functions;8. Conditionally positive definite functions;9. Compactly supported functions; 10. Nativespaces; 11. Error estimates for radial basisfunction interpolation; 12. Stability; 13. Optimalrecovery; 14. Data structures; 15. Numericalmethods; 16. Generalized interpolation; 17.Interpolation on spheres and other manifolds.Cambridge Monographs on Applied andComputational Mathematics 182004/346 pp./50 figures84335-9/Hb/List: $90.00Disc.: $72.00

Collocation Methodsfor Volterra Integral andRelated FunctionalEquationsH. BrunnerMemorial University of Newfoundland,St. John’s, CanadaContents:1. The collocation method for ODEs: anintroduction; 2. Volterra integral equations withsmooth kernels; 3. Volterra integro-differentialequations with smooth kernels; 4. Initial-valueproblems with non-vanishing delays; 5. Initial-value problems with proportional (vanishing)delays; 6. Volterra integral equations with weaklysingular kernels; 7. VIDEs with weakly singularkernels; 8. Outlook: integral-algebraic equationsand beyond; 9. Epilogue.Cambridge Monographs on Applied andComputational Mathematics 152004/612 pp./70 line diagrams80615-1/Hb/List: $130.00Disc.: $104.00

A Guided Tour ofMathematical MethodsFor the Physical SciencesSecond EditionRoel SniederColorado School of Mines, Golden“The writing style is clear andconcise...Snieder offers an interestingapproach to the material, with 127references.”—CHOICE

In contrast to traditional textbooks forstudents and professionals in the physicalsciences, this book presents its material inthe form of problems. The second editioncontains new chapters on dimensional

analysis, variational calculus, and theasymptotic evaluation of integrals. Thebook can be used by undergraduates andlower-level graduate students.Contents:1. Introduction; 2. Dimensional analysis;3. Power series; 4. Spherical and cylindricalcoordinates; 5. The gradient; 6. The divergenceof a vector field; 7. The curl of a vector field;8. The theorem of Gauss; 9. The theorem ofStokes; 10. The Laplacian; 11. Conservation laws;12. Scale analysis; 13. Linear algebra; 14. TheDirac delta function; 15. Fourier analysis;16. Analytic functions; 17. Complex integration;18. Green’s functions: principles; 19. Green’sfunctions: examples; 20. Normal modes;21. Potential theory; 22. Cartesian tensors;23. Perturbation theory; 24. Asymptotic evaluationof integrals; 25. Variational calculus; 26. Epilogue,on power and knowledge; References2004/522 pp./6 halftones/126 line diagrams/6 tables83492-9/Hb/List: $65.00Disc.: $52.00

Inside OutInverse Problems and ApplicationsEditor Gunther UhlmannUniversity of Washington, Seattle“It’s safe to say that Uhlmann’sbook is a fingerpost in mathematicalimaging for some time to come.”—Bulletin of the American Mathematical SocietyContents and Contributors:Preface; 1. Introduction to the mathematicsof computed tomography Adel Faridani;2. The attenuated X-ray transform: recentdevelopments David Finch; 3. Inverse acoustic andelectromagnetic scattering theory David Colton;4. Inverse problems in transport theory PlamenStefanov; 5. Near-field tomography P. Scott Carneyand John C. Schotland; 6. Inverse problems fortime harmonic electrodynamics Petri Ola, LassiPaivarinta and Erkki Somersalo; 7. Microlocalanaysis of the X-ray transform with sources on acurve David Finch, Ih-Ren Lan and GuntherUhlmann; 8. Microlocal analysis of seismic inversescattering Maarten V. De Hoop; 9. Sojourn times,singularities of the scattering kernal and inverseproblems Vesselin Petkov and Luchezar Stoyanov;10. Geometry and analysis in many-bodyscattering Andras Vasy; 11. A mathematical anddeterminalistic analysis of the time-reversal mirrorClaude Bardos.Mathematical Sciences ResearchInstitute 472003/412 pp.82469-9/Hb/List: $80.00Disc.: $64.00

Applied & Numerical Math

26Call 1-800-872-7423 • Fax 845-353-4141

Mathematical Models inBiologyAn IntroductionElizabeth S. AllmanUniversity of Southern Maine, PortlandJohn A. RhodesBates College, Lewiston, ME“The exercises throughout this bookare excellent. Mathematical Modelsin Biology: An Introduction presentsnontrivial and current topics inmathematical biology for first- andsecond-year undergraduate majors inmathematics or biology. With its briskwriting style, clear handling of themathematics and the biology, andthorough exercises, this text ispositioned to meet the needs ofmathematics students interested inbiology as well as biology studentswho need to see the serious role ofmathematics in their chosen area ofstudy.”—Mathematics and Computer Education

“Highly recommended.”—CHOICEContents:1. Dynamic modeling with difference equations;2. Linear models of structured populations;3. Non-linear models of interactions; 4. Modelingmolecular evolution; 5. Constructing phylogenetictrees; 6. Genetics; 7. Infectious disease modeling;Curve fitting and biological modeling; Appendix A.Basic analysis of numerical data; Appendix B. Forfurther reading2003/384 pp./65 line diagrams/40 tables81980-6/Hb/List: $95.00Disc.: $76.0052586-1/Pb/List: $45.00Disc.: $36.00

Computation

Cryptography andComplexityAn IntroductionJohn TalbotUniversity College London, UKDominic WelshUniversity of Oxford

Cryptography plays a crucial role in manyaspects of today’s world, from internetbanking and e-commerce to e-mail andweb-based business processes.Understanding the principles on which itis based is important and requires aknowledge of both computationalcomplexity and a range of topics in puremathematics. This book provides thatknowledge, combining an informal stylewith strong proofs of the key results toprovide an accessible introduction.Contents:1. Basics of cryptography; 2. Complexity theory; 3.Non-deterministic computation; 4. Probabilisticcomputation; 5. Symmetric cryptosystems; 6. One-way functions; 7. Public key cryptography; 8.Digital signatures; 9. Key establishment protocols;10. Secure encryption; 11. Identification schemes;Appendix 1; Appendix 2; Appendix 3; Appendix 4;Appendix 5; Appendix 6; Bibliography; Index.2006/340 pp./172 exercises85231-5/Hb/List: $95.00Disc.: $76.0061771-5/Pb/List: $50.00Disc.: $40.00

DNA, Words and ModelsStatistics of Exceptional WordsEditorsStephane RobinINA-PG, Paris, FranceSophie SchbathINRA, Jouy-en-Josas, FranceFrancois RodolpheINRA, Jouy-en-josas

This book introduces mathematicaland statistical concepts used for patternanalysis in computational biology.A detailed description of the principalmodels used in sequence analysis isfollowed by an introduction to severalstatistical methods used for findingexceptional words with respect to themodel used. The second half of the bookis illustrated with numerous examplesprovided by the analysis of bacterialgenomes. This is a practical guide infacing actual situations and makingappropriate procedure choices.Contents:Introduction; 1. Simple models for biologicalsequences; 2. Introduction to Markov chainmodels; 3. Taking heterogeneities into account; 4.

Statistical properties of word occurrences;5. Words with unexpected frequencies;6. Words with unexpected locations.2005/160 pp./7 halftones/28 figures/21 line diagrams/14 tables84729-X/Hb/List: $55.00Disc.: $44.00

Probability andComputingRandomized Algorithms andProbabilistic AnalysisMichael MitzenmacherHarvard University, Cambridge, MAEli UpfalBrown University, Providence, RI“This text presents a clear expositionof the tools of probabilistic analysisfrom the very basics to more advancedtopics. In addition, each chapter offersa well-chosen set of problems for arange of abilities. This book is suitablefor upper division undergraduates andfirst year graduate students incomputer science and relateddisciplines. It will also be useful as areference for researchers who wouldlike to incorporate these tools intotheir work. I enjoyed teaching fromthe book and highly recommend it.”—Valerie King, University of VictoriaContents:Preface; 1. Events and probability; 2. Discreterandom variables and expectation; 3. Momentsand deviations; 4. Chernoff bounds; 5. Balls,bins and random graphs; 6. The probabilisticmethod; 7. Markov chains and random walks;8. Continuous distributions and the Poissonprocess; 9. Entropy, randomness, and information;10. The Monte Carlo method; 11. Coupling ofMarkov chains; 12. Martingales; 13. Pairwiseindependence and universal hash functions;14. Balanced allocations; References.2005/368 pp./50 line diagrams83540-2/Hb/List: $55.00Disc.: $44.00

An Introductionto Programmingwith MathematicaThird EditionPaul WellinWolfram Research Inc., Champaign, ILRichard GaylordUniversity of Illinois, Urbana-ChampaignSam KaminUniversity of Illinois

Since the last edition of this book waspublished, significant changes haveoccurred in Mathematica and its useworldwide. Keeping pace with thesechanges, this substantially larger, updatedversion includes new and completelyrevised chapters on numerics, procedural,

Applied & Numerical Math / Computation

27www.cambridge.org/us/mathematics

rule-based and front-end programming,and includes significant coverage on thelatest features and functions. Mathematicanotebooks, available from CambridgeUniversity Press’s website, containexamples, programs, and solutions to mostof the exercises in the book. In addition,material to supplement later versions ofthe software will be made available.Contents:1. An introduction to Mathematica;2. TheMathematica language; 3. Lists; 4. Functionalprogramming; 5. Procedural programming;6. Rule-based programming; 7. Recursion;8. Numerics; 9. Graphics programming; 10. Front-end programming; 11. Examples and applications;12. Writing packages; Appendix A. Howexpressions are evaluated; Appendix B. Debugging2005/570 pp./21 halftones/102 line diagrams/22 tables/234 exercises84678-1/Hb/List: $70.00Disc.: $56.00

Topology for ComputingAfra J. ZomorodianStanford University, CA

Written by a computer scientist forcomputer scientists, this book teachestopology from a computational point ofview, and shows how to solve realproblems that have topological aspectsinvolving computers. Such problems arisein many areas, such as computer graphics,robotics, structural biology, and chemistry.The author starts from the basics oftopology, assuming no prior exposure tothe subject, and moves rapidly up torecent advances in the area, includingtopological persistence and hierarchicalMorse complexes. Algorithms and datastructures are presented whenappropriate.Contents:1. Introduction; Part I. Mathematics: 2. Spacesand filtrations; 3. Group theory; 4. Homology;5. Morse theory; 6. New results; Part II.Algorithms: 7. The persistence algorithms;8. Topological simplification; 9. The Morse-Smalealgorithm; 10. The linking number algorithm;Part III. Applications: 11. Software; 12.Experiments; 13. Applications.Cambridge Monographs on Applied andComputational Mathematics2005/258 pp./2 color plates/118 line diagrams83666-2/Hb/List: $60.00Disc.: $48.00

Foundations ofCryptographyVolume II: Basic ApplicationsOded GoldreichWeizmann Institute of Science, Rehovot, Israel“...highly recommended.”—Cryptologia

Cryptography is concerned with theconceptualization, definition, andconstruction of computing systems thataddress security concerns. The design ofcryptographic systems must be based onfirm foundations. Building on the basictools presented in the first volume, thissecond volume of Foundations ofCryptography contains a rigorousand systematic treatment of three basicapplications: Encryption, Signatures,and General Cryptographic Protocols.It is suitable for use in a graduate courseon cryptography and as a reference bookfor experts. The author assumes basicfamiliarity with the design and analysisof algorithms; some knowledge ofcomplexity theory and probability is alsouseful.Contents:Volume II: Basic Applications: 5. Encryptionschemes; 6. Signatures and messageauthentication; 7. General cryptographicprotocols; C. Correction and additions toVolume I.2004/448 pp./13 line diagrams83084-2/Hb/List: $80.00Disc.: $64.00Also available:Volume I: Basic Tools79172-3/ Hb/List: $80.00Disc.: $64.00

History &Philosophy ofMathematics

HuygensThe Man Behind the PrincipleC.D. AndriesseUniversiteit Utrecht, The Netherlands

This biography of Christiaan Huygens(1629-1695) describes in detail how hearrived at discoveries and inventions oftenwrongly ascribed to Newton. The greatseventeenth-century Dutch mathematicianand physicist played a key role in the‘scientific revolution’; the HuygensPrinciple on the wave theory of light,the discovery of Saturn’s rings, and theinvention of the pendulum clock areamong his greatest achievements.Contents:Preface; A commemoration; 1. Titan;2. Father;3.Mother; 4. Family portrait; 5. Student;6. Collisions;7. Saturn; 8. Force; 9. Temperament; 10. Weight;11. Crisis; 12. Light; 13. Dismissal;14. Orphan; 15.Heaven; References; Bibliography; Further reading.2005/480 pp./8 halftones/6 line diagrams85090-8/Hb/List: $95.00Disc.: $76.00

Symmetry and ItsDiscontentsEssays on the History ofInductive ProbabilityS.L. ZabellNorthwestern University, Evanston, IL

This volume brings together a collectionof essays on the history and philosophyof probability and statistics by an eminentscholar in these subjects. Written overthe last fifteen years, they fall into threebroad categories. The first deals with theuse of symmetry arguments in inductiveprobability, in particular, their use inderiving rules of succession.The second group deals with threeoutstanding individuals who made lastingcontributions to probability and statisticsin very different ways. The last group ofessays deals with the problem of“predicting the unpredictable.”Contents:Part I. Probability: 1. Symmetry and itsdiscontents; 2. The rule of succession;3. Buffon, Price, and Laplace: scientific attributionin the eighteenth century; 4. W. E. Johnson’ssufficientness postulate. Part II. Personalities:5 Abraham De Moivre and the birth of the CentralLimit Theorem; 6 Ramsey, truth, and probability;7. R. A. Fisher on the history of inverseprobability; 8. R. A. Fisher and the fiducialargument; 9. Alan Turing and the Central LimitTheorem; Part III. Prediction: 10. Predicting theunpredictable; 11. The continuum of inductivemethods revised.Cambridge Studies in Probability,Induction and Decision Theory2005/288 pp.44470-5/Hb/List: $70.00Disc.: $56.0044912-X/Pb/List: $24.99Disc.: $19.99

Phenomenology, Logic,and the Philosophy ofMathematicsRichard TieszenSan Jose State University, CAContents:Part I. Reason, Science, and Mathematics:1. Science as a triumph of the human spirit andscience in crisis: Husserl and the Fortunes ofReason; 2. Mathematics and transcendentalphenomenology; Part II. Kurt Godel,Phenomenology and the Philosophy ofMathematics: 3. Kurt Godel and phenomenology;4. Godel’s philosophical remarks on mathematicsand logic; 5. Godel’s path from theincompleteness theorems (1931) toPhenomenology (1961); 6. Godel and theintuition of concepts; 7. Godel and Quine onmeaning and mathematics; 8. Maddy on realismin mathematics; 9. Penrose and the view thatminds are not machines. Part III. Constructivism,Fulfilled Intentions, and Origins: 10. Intuitionism,meaning theory and cognition; 11. Thephilosophical background of Weyl’s mathematical

Computation / History & Philosophy of Mathematics

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constructivism; 12. What is a proof?;13.Phenomenology and mathematical knowledge;14. Logicism, impredicativity, formalism; 15. Thephilosophy of arithmetic: Frege and Husserl.2005/368 pp./11 line diagrams83782-0/Hb/List: $70.00Disc.: $56.00

Alfred TarskiLife and LogicAnita Burdman FefermanSolomon FefermanStanford University, CA“His was a fascinating life, and thenew biography Alfred Tarski: Life andLogic covers it all. The authors areexceptionally well qualified to tellhis story...[they] were personallyacquainted with many of the peoplethey write about here, and they haveobtained some remarkably intimateinformation. The book is beautifullywritten and a pleasure to read on anumber of levels.”—American Scientist

“Reading Tarski’s journals andpublications, mining many archives,interviewing dozens and dozens ofpeople, and traveling to Poland tovisit original sites, the Fefermans haveput together a story that is detailed,personal, and one that has painted asplendid portrait...of an extraordinaryindividual.”—SIAM NewsContents:1. The two Tarskis; 2. Independence anduniversity; Interlude I. The Banach-Tarski paradox,set theory and the axiom of choice; 3. Polot! ThePolish attribute; Interlude II. The completeness anddecidability of algebra and geometry; 4. A widersphere of influence; Interlude III. Truth anddefinability; 5. How the unity of science savedTarski’s life; 6. Berkeley is so far from Princeton;7. Building a school; Interlude IV. The publicationcampaigns; 8. Papa Tarski and his students;9. Three meetings and two departures; 10. Logicand methodology, center stage; 11. Heydays;Interlude V. Model theory and the 1963Symposium; 12. Around the world; 13. LosAngeles and Berkeley; Interlude VI. Algebras oflogic; 14. A decade of honors; 15. The last times.2004/432 pp./80 halftones80240-7/Hb/List: $34.99Disc.: $27.99

Nobel Laureates andTwentieth-CenturyPhysicsMauro DardoAmedeo Avogadro University, Alessandria, Italy“This is a fine history of physics in the20th century, and also serves as ahigh-quality primer for the conceptsthat underlie quantum mechanics andthe standard model of particlephysics. Dardo has put together a

well-illustrated, well-researched andinteresting story.”—The Leading EdgeContents:1. Introduction; 2. Founding fathers; 3. Highlightsof classical physics; Part I. The Triumphs of ModernPhysics (1901-1950): 4. New foundations;5. The quantum atom; 6. The golden years7. The thirties; 8. The nuclear age; Part II. NewFrontiers (1951-2003): 9. Wave of inventions;10. New vistas on the cosmos; 11. The small, thelarge - the complex; 12. Big physics - smallphysics;13. New trends.2004/546 pp./173 halftones/52 line diagrams/3 tables83247-0/Hb/List: $110.00Disc.: $88.0054008-9/Pb/List: $43.99Disc.: $35.19

From Eudoxus toEinsteinA History ofMathematical AstronomyChristopher LintonLoughborough University, UK“An excellent survey of the history ofthis field. Highly recommended.”—D.E. Hogg, National Radio AstronomyObservatory, CHOICE

Since humans first looked towards theheavens, they have attempted to predictand explain the motions of the sun,moon, and planets. This book describesthe theories of planetary motion thathave been developed through the ages,from the homocentric spheres of Eudoxusto Einstein’s general theory of relativity.It emphasizes the interaction betweenprogress in astronomy and inmathematics, demonstrating how thetwo have been inextricably linked sinceBabylonian times.Contents:Preface; 1. Introduction; 2. Spheres and circles;3. The Ptolemaic universe; 4. Developments ingeocentric astronomy; 5. The heliocentric universe;6. Tycho Brahe, Kepler and the ellipse; 7. Galileo,the telescope, and Keplarian astronomy;8. The universal theory of gravitation; 9. Celestialmechanics; 10. The asteroids and the outerplanets; 11. New methods; 12. Mercury andRelativity.2004/528 pp./5 halftones/87 line diagrams/15 tables82750-7/Hb/List: $110.00Disc.: $88.00

The Transformation ofMathematics in the EarlyMediterranean WorldFrom Problems to EquationsReviel NetzStanford University, CA“For the true mathematics historian,this is a fascinating exploration,perhaps different from one’s previousideas of this time period. Highlyrecommended.”—M.D. Sanford, Felician College

The transformation of mathematicsfrom its ancient Greek practice to itsdevelopment in the medieval Arab-speaking world is approached by focusingon a single problem proposed byArchimedes and the many solutionsoffered. From a practice of mathematicsbased on the localized solution(originating in the polemical practices ofearly Greek science), we see a transitionto a practice of mathematics based onthe systematic approach (grounded in thedeuteronomic practices of Late Antiquityand the Middle Ages). A radically newinterpretation is accordingly offered of thehistorical trajectory of pre-modernmathematics.Contents:Introduction; 1. The problem in the world ofArchimedes; 2. From Archimedes to Eutocius;3. From Archimedes to Khayyam; Conclusion.Cambridge Classical Studies2004/208 pp./20 figures82996-8/Hb/List: $80.00Disc.: $64.00

General Interest

Social Choice andthe Mathematics ofManipulationAlan D. TaylorUnion College, Schenectady, NY

Honesty in voting is not always the bestpolicy. This is a book for mathematicians,political scientists, economists andphilosophers who want to understandhow it is impossible to devise areasonable voting system in whichvoters can never gain by submitting adisingenuous ballot. The book requiresno prerequisites except a willingness tofollow rigorous mathematical arguments.Contents:1. Introduction; 2. The Gibbard-Satterthwaitetheorem; 3. Additional results for single-valuedelections; 4. The Duggan-Schwartz theorem;5. Additional results for multi-valued elections;

History & Philosophy of Mathematics / General Interest

29www.cambridge.org/us/mathematics

6. Ballots that rank sets; 7. Elections withoutcomes that are lotteries; 8. Elections withvariable agendas; References; IndexOutlooks

Copublished with the Mathematical Association ofAmerica2005/190 pp./3 line diagrams81052-3/Hb/List: $70.00Disc.: $56.0000883-2/Pb/List: $24.99Disc.: $19.99

Surveys in ModernMathematicsThe Independent University ofMoscow SeminarsEditors Victor PrasolovIndependent University of Moscow, RussiaYulij IlyashenkoCornell University, Ithaca, NYContents and Contributors:1. The Independent University of Moscow andstudent sessions at the IUM; 2. Mysteriousmathematical trinities V. I. Arnold; 3. The principleof topological economy in algebraic geometry V. I.Arnold; 4. Rational curves, elliptic curves, and thePainleve equation Yu. I. Manin; 5. The orbitmethod and finite groups A. A. Kirillov; 6. On thedevelopment of the theory of dynamical systemsduring the past quarter century D. V. Anosov; Newor renewed directions; Named problems; Someother achievements; 7. Foundations ofcomputational complexity theory A. A Razborov;8. The Schrodinger equation and symplecticgeometry S. P. Novikov; 9. Rings and algebraicvarieties Miles Reid; 10. Billiard table as aplayground for a mathematician A. B. Katok;11. The Fibonacci numbers and simplicity of 2127minus 1 A. N. Rudakov; 12. On problems ofcomputational complexity Stephen Smale;13. Values of the -function Pierre Cartier;14. Combinatorics of trees Pierre Cartier;15. What is an operad? Pierre Cartier;16. The orbit method beyond Lie groups A. A.Kirillov; Infinite-dimensional groups; 17. The orbitmethod beyond Lie groups A. A. Kirillov;Quantum groups; 18. Conformal mappingsand the Ehitham equations I. M. Krichever; 19.Projective differential geometry: old and newV. Yu. Ovsienko; 20. Hakens method of normalsurfaces and its applications to classificationproblem for 3-dimensional manifolds - the lifestory of one theorem S. V. Matveev.London Mathematical Society LectureNote Series 3212005/360 pp./40 figures/40 line diagrams/1table/25 exercises54793-8/Pb/List: $70.00Disc.: $56.00

The Geometry ofEfficient Fair DivisionJulius B. BarbanelUnion College, Schenectady, NY

Introduction byAlan D. TaylorWhat is the best way to divide a cakeand allocate the pieces among some finitecollection of players? In this book, thecake is a measure space, and each playeruses a countably additive, non-atomicprobability measure to evaluate the sizeof the pieces of cake, with differentplayers generally using different measures.The author investigates efficiencyproperties (is there another partition thatwould make everyone at least as happy,and would make at least one playerhappier, than the present partition?) andfairness properties (do all players thinkthat their piece is at least as large asevery other player’s piece?). He focusesexclusively on abstract existence resultsrather than algorithms, and on thegeometric objects that arise naturally inthis context. By examining the shape ofthese objects and the relationshipbetween them, he demonstrates resultsconcerning the existence of efficient andfair partitions.2005/472 pp./73 line diagrams84248-4/Hb/List: $95.00Disc.: $76.00

Gender Differencesin MathematicsAn IntegrativePsychological ApproachEditors Ann GallagherLaw School Admissions Council, Newton, PAJames KaufmanCalifornia State University, San Bernadino

This book explores gender differencesin math performance—and why malesoutperform females on high stakesstandardized tests but not in theclassroom. These differences are importantbecause scores on such tests are generallyused in decisions that have importantconsequences for students, such ascollege admissions and job placement.The contributions in this volume present avariety of theories and research that helpto explain the differences, and highlightthe consequences.Contributors:Susan Chipman, Paula Caplan, Jeremy Caplan,Diane Halpern, Jonathan Wai, Amanda Saw,James Byrnes, James M. Royer, Laura M. Garofoli,M. Beth Casey, Ronald Nuttal, Elizabeth Pezaris,Rob Ibarra, Paul Davies, Steve Spencer, Talia Ben

Zee, Cristina M. Carrasquillo, Alison M.L.Ching,Tattiya J. Kliengklom, Kristen L. McDonald, DanielC. Newhall, Gillian E. Patton, Tiffany D. Stewart,Tonya Stoddard, Michael Inzlicht, Steve Fein,Alyssa Walters, Lisa Brown, Sophia Catsambis,Janis E. Jacobs, Pamela Davis-Kean, MarthaBleeker, Jacquelynne S. Eccles, Oksana Malachuk,Eunsook Hong, Harold O’Neil, David Feldon, FrankPajares, Ann Gallagher, James Kaufman2004/368 pp./19 line diagrams/11 tables82605-5/Hb/List: $70.00Disc.: $56.0053344-9/Pb/List: $27.99Disc.: $22.39

Dicing with DeathChance, Risk and HealthStephen SennUniversity of Glasgow, Scotland, UK“In this superbly written book, theauthor sets out to celebrate the roleand contribution of statistics in thelife sciences. He accomplishes this byproviding clear explanations of thereasoning behind major statisticalconcepts and techniques, includinginterpretations of probability,significance testing, Bayesianreasoning, randomized clinical trials,meta-analysis and others. To engagethe reader’s attention and interest, heeffortlessly makes use of paradoxes,controversies, glimpses intopersonalities, anecdotes and humor,all with a high degree of success. Thisis a unique and delightful book aboutthe logic and utility of statisticalscience, especially in medicalresearch.”—Doody’s Notes

“In Dicing with Death, Senn sets outto ‘explain how important statisticsis’ and takes the reader on a wild,thought-provoking and alwaysentertaining ride through biostatisticsand beyond. Modern statisticalscience is the product of a long andfascinating history, and Senn delightsin recounting the development ofimportant ideas...Senn is oftenuproariously funny, which isremarkable in a book that covers somuch technical, philosophical andhistorical ground.”—CMAJ-JAMC JournalContents:Preface; 1. Circling the square; 2. The dicemancometh; 3. Trials of life; 4. Scepticism, philosophyand statistics; 5. Sex and the single patient;6. A hale view of pills; 7. Time’s tables;8. A dip in the pool; 9. Things that bug us;10. The law is an ass; 11. The sum of all things2003/264 pp./35 line diagrams/29 tables83259-4/Hb/List: $80.00Disc.: $64.0054023-2/Pb/List: $28.99Disc.: $23.19

General Interest

30Call 1-800-872-7423 • Fax 845-353-4141

WINNER OF CHOICEOUTSTANDING ACADEMIC

TITLES, 2005

Mathematical ConstantsSteven R. FinchMathSoft Inc., Cambridge, MA“I consider this book to be anessential component of allmathematical libraries. I have placedit on my ‘within the grasp’ shelf andhave strongly recommended to thecollege library that it be added to thereference collection.”—Charles Ashbacher, amazon.comContents:Preface; Notation; 1. Well-known constants;2. Constants associated with number theory;3. Constants associated with analytic inequalities;4. Constants associated with the approximation offunctions; 5. Constants associated withenumerating discrete structures; 6. Constantsassociated with functional iteration; 7. Constantsassociated with complex analysis; 8. Constantsassociated with geometry; Table; Index.Encyclopedia of Mathematics and itsApplications 942003/622 pp./62 line diagrams/9 tables81805-2/Hb/List: $98.00Disc.: $78.40

Numerical Recipes

Numerical Recipes in CThe Art of Scientific ComputingSecond EditionWilliam H. PressHarvard University, Cambridge, MASaul A. TeukolskyCornell University, Ithaca, NYWilliam T. VetterlingPolaroid Corporation, Cambridge, MABrian P. FlanneryExxon Research and Engineering Company,Annandale, NJ"This monumental and classic work isbeautifully produced and of literary aswell as mathematical quality. It is anessential component of any seriousscientific or engineering library.”—Computing ReviewsNumerical Recipes1992/1020 pp.43108-5/Hb/List: $75.00Disc.: $60.00

Numerical Recipes inC++The Art of Scientific ComputingSecond EditionWilliam H. PressLos Alamos National Laboratory, NMSaul A. TeukolskyCornell University, Ithaca, NYWilliam T. VetterlingPolaroid Corporation, Wayland, MABrian P. FlanneryEXXON Research and Engineering Company,Annandale, NJ“A product of a unique collaborationby leading scientists in academia andindustry, this book is the secondedition of a comprehensive text andreference work on scientificcomputing.”—Business Horizons2002/1032 pp./100 line diagrams75033-4/Hb/List: $75.00Disc.: $60.00

Numerical Recipes inFortran 77Volume 1 ofFortran Numerical RecipesSecond Edition1992/992 pp.43064-X/Hb/List: $75.00Disc.: $60.00

Numerical Recipes inFortran 90The Art of ParallelScientific ComputingVolume 2 ofFortran Numerical RecipesSecond Edition1996/576 pp.57439-0/Hb/List: $55.00Disc.: $44.00

Numerical Recipes in CExample BookSecond Edition1992/336 pp.43720-2/Pb/List: $37.99Disc.: $30.39

Numerical Recipesin Fortran 77Example BookSecond Edition1992/256 pp.43721-0/Pb/List: $37.99Disc.: $30.39

Numerical RecipesExample Book [C++]William T. VetterlingPolaroid Corporation, Wayland, MAWilliam H. PressLos Alamos National Laboratory, NMSaul A. TeukolskyCornell University, Ithaca, NYBrian P. FlanneryEXXON Research and Engineering Company,Annandale, NJ2002/330 pp.75034-2/Pb/List: $37.99Disc.: $30.39

Numerical Recipes inC and C++ Source CodeCDROM with Windows,DOS, or MacintoshSingle Screen LicenseThe Art of Scientific ComputingSecond Edition200275037-7/CD-ROM/List: $50.00Disc.: $40.00

Numerical Recipes Multi-Language Code CDROMwith Windows, DOS, orMacintosh Single ScreenLicenseSource Code for Numerical Recipesin C, C++, Fortran 77, Fortran 90,Pascal, BASIC, Lisp and Modula 2plus many extras200275035-0/CD-ROM/List: $90.00Disc.: $72.00

Numerical Recipes Multi-Language Code CDROMwith LINUX or UNIXSingle Screen LicenseSource Code for Numerical Recipesin C, C++, Fortran 77, Fortran 90,Pascal, BASIC, Lisp and Modula 2plus many extras200275036-9/CD-ROM/List: $150.00Disc.: $120.00

General Interest / Numerical Recipes

31www.cambridge.org/us/mathematics

Selected Backlist

Complex VariablesIntroduction and ApplicationsSecond EditionMark AblowitzA.S. FokasCambridge Texts in Applied Mathematics352003/660 pp./160 line diagrams53429-1/Pb/List: $60.00Disc.: $48.00

Reciprocity in ElastodynamicsJan AchenbachCambridge Monographs on Mechanics2004/266 pp./45 line diagrams81734-X/Hb/List: $90.00Disc.: $72.00

Fixed Point Theory and ApplicationsRavi P. AgarwalMaria MeehanDonal O’ReganCambridge Tracts in Mathematics 1412001/180 pp./95 exercises80250-4/Hb/List: $75.00Disc.: $60.00

Typical Dynamics of Volume PreservingHomeomorphismsSteve AlpernV.S. PrasadCambridge Tracts in Mathematics 1392001/236 pp./1 figure58287-3/Hb/List: $75.00Disc.: $60.00

Special FunctionsGeorge E. AndrewsRichard AskeyRanjan RoyEncyclopedia of Mathematics and itsApplications 711999/680 pp.62321-9/Hb/List: $140.00Disc.: $112.0078988-5/Pb/List: $55.00Disc.: $44.00

ScalingG. BarenblattForeword byAlexandre ChorinCambridge Texts in AppliedMathematics 342003/186 pp./5 halftones/40 figures82657-8/Hb/List: $90.00Disc.: $72.0053394-5/Pb/List: $33.99Disc.: $27.19

Introductory Lectures onRings and ModulesJ. BeachyLondon Mathematical SocietyStudent Texts 471999/246 pp./250 exercises64340-6/Hb/List: $100.00Disc.: $80.0064407-0/Pb/List: $36.99Disc.: $29.59

Complex Algebraic SurfacesSecond EditionArnaud BeauvilleLondon Mathematical SocietyStudent Texts 341996/142 pp.49510-5/Hb/List: $85.00Disc.: $68.0049842-2/Pb/List: $27.99Disc.: $22.39

Generalized Riemann Problems inComputational Fluid DynamicsMatania Ben-ArtziJoseph FalcovitzCambridge Monographs on Applied andComputational Mathematics 112003/366 pp./106 line diagrams77296-6/Hb/List: $100.00Disc.: $80.00

Representations and CohomologyVolume 2: Cohomology of Groups andModulesD. BensonCambridge Studies in AdvancedMathematics 311998/291 pp.63652-3/Pb/List: $45.00Disc.: $36.00

Representations and CohomologyVolume 1: Basic Representative Theory ofFinite Groups and Associative AlgebrasD. BensonCambridge Studies in AdvancedMathematics 301998/258 pp.63653-1/Pb/List: $43.00Disc.: $34.40

An Introduction to Rings and ModulesWith K-Theory in ViewA.J. BerrickM.E. KeatingCambridge Studies in AdvancedMathematics 652000/282 pp./200 exercises63274-9/Hb/List: $65.00Disc.: $52.00

Categories and ModulesWith K-Theory in ViewA.J. BerrickM.E. KeatingCambridge Studies inAdvanced Mathematics 672000/380 pp./190 exercises63276-5/Hb/List: $75.00Disc.: $60.00

Stochastic Integration with JumpsKlaus BichtelerEncyclopedia of Mathematics and itsApplications 892002/516 pp./17 line diagrams/1 table81129-5/Hb/List: $120.00Disc.: $96.00

Wave MotionJohn BillinghamAndrew KingCambridge Texts inApplied Mathematics 242001/478 pp./3 color plates/10 halftones/160figures/1 table/98 exercises63257-9/Hb/List: $100.00Disc.: $80.0063450-4/Pb/List: $55.00Disc.: $44.00

Elliptic Curves in CryptographyI. BlakeG. SeroussiN. SmartLondon Mathematical Society LectureNote Series 2651999/220 pp.65374-6/Pb/List: $55.00Disc.: $44.00

Analysis in Integer andFractional DimensionsRon BleiCambridge Studies inAdvanced Mathematics 712001/576 pp./275 exercises65084-4/Hb/List: $130.00Disc.: $104.00

Random GraphsSecond EditionBéla BollobásCambridge Studies inAdvanced Mathematics 732001/516 pp./10 line diagrams/8 tables80920-7/Hb/List: $140.00Disc.: $112.0079722-5/Pb/List: $55.00Disc.: $44.00

Selected Backlist

32Call 1-800-872-7423 • Fax 845-353-4141

Finite ElementsTheory, Fast Solvers, andApplications in Solid MechanicsSecond EditionDietrich Braess2001/370 pp./62 line diagrams01195-7/Pb/List: $43.00Disc.: $34.40

Combinatorics: Topics, Techniques,AlgorithmsPeter J. CameronQ1995/365 pp./40 line diagrams/300 exercises45761-0/Pb/List: $48.00Disc.: $38.40

Introduction to Symmetry AnalysisBrian J. CantwellCambridge Texts inApplied Mathematics 292002/654 pp./2 color plates/5 halftones/107 linediagrams/20 tables/131 exercises/Includes CD77183-8/Hb/List: $150.00Disc.: $120.0077740-2/Pb/List: $70.00Disc.: $56.00

Real AnalysisN.L. Carothers2000/416 pp./45 line diagrams49749-3/Hb/List: $95.00Disc.: $76.0049756-6/Pb/List: $45.00Disc.: $36.00

Isoperimetric InequalitiesDifferential Geometric andAnalytic PerspectivesIsaac ChavelCambridge Tracts in Mathematics 1452001/280 pp./16 line diagrams80267-9/Hb/List: $95.00Disc.: $76.00

A Course in Modern Analysisand its ApplicationsGraeme CohenAustralian Mathematical SocietyLecture Series 172003/348 pp./16 line diagrams/165 exercises81996-2/Hb/List: $110.00Disc.: $88.0052627-2/Pb/List: $45.00Disc.: $36.00

Mathematical ModelingCase Studies From IndustryEditors Ellis CumberbatchAlistair Fitt2001/316 pp./93 line diagrams65007-0/Hb/List: $110.00Disc.: $88.0001173-6/Pb/List: $48.00Disc.: $38.40

Introduction to Lattices and OrderSecond EditionB.A. DaveyH.A. Priestley2002/310 pp./36 line diagrams/75 exercises78451-4/Pb/List: $39.99Disc.: $31.99

Elementary Number Theory,Group Theory, and Ramanujan GraphsGuiliana DavidoffPeter SarnakAlain ValetteLondon Mathematical SocietyStudent Texts 552003/154 pp.82426-5/Hb/List: $80.00Disc.: $64.0053143-8/Pb/List: $27.99Disc.: $22.39

Spectral Theory andDifferential OperatorsE.B. DaviesCambridge Studies inAdvanced Mathematics 421996/192 pp.58710-7/Pb/List: $29.99Disc.: $23.99

Theory of Algebraic IntegersRichard DedekindTranslated and introduced byJohn StillwellCambridge Mathematical Library1996/166 pp.56518-9/Pb/List: $29.99Disc.: $23.99

Representations ofFinite Groups of Lie TypeFrançois DigneJean MichelLondon Mathematical SocietyStudent Texts 211991/165 pp.40117-8/Hb/List: $90.00Disc.: $72.0040648-X/Pb/List: $32.99Disc.: $26.39

Applied Analysis ofthe Navier-Stokes EquationsCharles R. DoeringJ.D. GibbonCambridge Texts inApplied Mathematics 121995/231 pp./23 line diagrams/50 exercises44568-X/Pb/List: $34.99Disc.: $27.99

Lectures on Invariant TheoryIgor DolgachevLondon Mathematical Society LectureNote Series 296 subject code 71X2003/236 pp.52548-9/Pb/List: $55.00Disc.: $44.00

Floer Homology Groups inYang-Mills TheoryS. DonaldsonCambridge Tracts in Mathematics 1472002/244 pp.80803-0/Hb/List: $85.00Disc.: $68.00

Geometric Algebra for PhysicistsChris DoranAnthony Lasenby2003/592 pp./6 halftones/76 line diagrams/12 tables/135 exercises48022-1/Hb/List: $120.00Disc.: $96.00

Solitons: An IntroductionP.G. DrazinR.S. JohnsonCambridge Texts inApplied Mathematics 31989/240 pp./line diagrams33655-4/Pb/List: $48.00Disc.: $38.40

Nonlinear SystemsP.G. DrazinCambridge Texts inApplied Mathematics 101992/331 pp./2 color plates/many halftones/many line diagrams40668-4/Pb/List: $50.00Disc.: $40.00

Schwarz-Christoffel MappingTobin A. DriscollLloyd N. TrefethenCambridge Monographs on Appliedand Computational Mathematics 82002/148 pp./76 line diagrams80726-3/Hb/List: $65.00Disc.: $52.00

A Course in Financial CalculusAlison Etheridge2002/204 pp./14 figures/138 exercises81385-9/Hb/List: $110.00Disc.: $88.0089077-2/Pb/List: $39.99Disc.: $31.99

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33www.cambridge.org/us/mathematics

Navier-Stokes Equationsand TurbulenceC. FoiasO. ManleyR. RosaR. TemamEncyclopedia of Mathematics and itsApplications 832001/362 pp./1 halftone36032-3/Hb/List: $120.00Disc.: $96.00

Logic, Induction and SetsThomas ForsterLondon Mathematical SocietyStudent Texts 562003/244 pp.82621-7/Hb/List: $80.00Disc.: $64.0053361-9/Pb/List: $29.99Disc.: $23.99

The Geometry of PhysicsAn IntroductionSecond EditionTheodore Frankel2003/720 pp./120 line diagrams53927-7/Pb/List: $49.99Disc.: $39.99

Industrial MathematicsCase Studies in Heat and Mass TransportGlenn FulfordPhilip BroadbridgeAustralian Mathematical SocietyLecture Series 162002/214 pp.80717-4/Hb/List: $80.00Disc.: $64.0000181-1/Pb/List: $34.99Disc.: $27.99

Young TableauxWith Applications toRepresentation Theory and GeometryWilliam FultonLondon Mathematical SocietyStudent Texts 351996/270 pp.56724-6/Pb/List: $34.99Disc.: $27.99

All the Mathematics You MissedBut Need to Know for Graduate SchoolThomas A. Garrity2001/376 pp.79285-1/Hb/List: $70.00Disc.: $56.0079707-1/Pb/List: $31.99Disc.: $25.59

Deterministic Observation Theoryand ApplicationsJean-Paul GauthierIvan Kupka2001/236 pp./2 line diagrams80593-7/Hb/List: $110.00Disc.: $88.00

Soliton Equations andtheir Algebro-Geometric SolutionsVolume I: (1 + 1)-DimensionalContinuous ModelsFritz GesztesyHelge HoldenCambridge Studies in AdvancedMathematics 792003/518 pp.75307-4/Hb/List: $110.00Disc.: $88.00

Continuous Lattices and DomainsGerhard GierzKarl H. HofmannKlaus KeimelJimmie D. LawsonMichael W. MisloveDana S. ScottEncyclopedia of Mathematics and itsApplications 932003/628 pp.80338-1/Hb/List: $150.00Disc.: $120.00

Foundations of CryptographyVolume 1: Basic ToolsOded Goldreich2001/392 pp.79172-3/Hb/List: $80.00Disc.: $64.00

Representations and Invariantsof the Classical GroupsRoe GoodmanNolan R. WallachEncyclopedia of Mathematicsand its Applications 681998/703 pp./100 line diagrams58273-3/Hb/List: $140.00Disc.: $112.0066348-2/Pb/List: $70.00Disc.: $56.00

Finite Markov Chainsand Algorithmic ApplicationsOlle HäggströmLondon Mathematical SocietyStudent Texts 522002/124 pp./20 line diagrams81357-3/Hb/List: $75.00Disc.: $60.0089001-2/Pb/List: $34.99Disc.: $27.99

Linear Elastic WavesJohn G. HarrisCambridge Texts inApplied Mathematics 262001/178 pp./34 line diagrams64368-6/Hb/List: $85.00Disc.: $68.0064383-X/Pb/List: $34.99Disc.: $27.99

Algebraic TopologyAllen Hatcher2001/556 pp.79540-0/Pb/List: $33.99Disc.: $27.19

Harmonic Maps, Conservation Lawsand Moving FramesFrédéric HéleinCambridge Tracts in Mathematics 1502002/290 pp.81160-0/Hb/List: $90.00Disc.: $72.00

Frobenius Manifolds andModuli Spaces for SingularitiesClaus HertlingCambridge Tracts in Mathematics 1512002/280 pp./7 line diagrams81296-8/Hb/List: $85.00Disc.: $68.00

Numbers, Groups and CodesSecond EditionJohn HumphreysMike Prest2004/354 pp./100 line diagrams54050-X/Pb/List: $45.00Disc.: $36.00

A Guide to MATLABfor Beginners and Experienced UsersBrian R. HuntRonald L. LipsmanJonathan M. Rosenberg2001/348 pp./138 line diagrams00859-X/Pb/List: $45.00Disc.: $36.00

Geometry of Sporadic Groups IPetersen and Tilde GeometriesA.A. IvanovEncyclopedia of Mathematics andits Applications 761999/422 pp./25 line diagrams41362-1/Hb/List: $100.00Disc.: $80.00

Selected Backlist

34Call 1-800-872-7423 • Fax 845-353-4141

Geometry of Sporadic Groups IIRepresentations and AmalgamsA.A. IvanovS.V. ShpectorovEncyclopedia of Mathematics andits Applications 912002/304 pp./55 line diagrams/15 tables62349-9/Hb/List: $95.00Disc.: $76.00

A Student’s Guide toFourier TransformsSecond EditionJohn F. James2003/142 pp./1 halftone/75 line diagrams80826-X/Hb/List: $65.00Disc.: $52.0000428-4/Pb/List: $26.00Disc.: $20.80

Representations andCharacters of GroupsSecond EditionGordon Douglas JamesMartin W. Liebeck2001/466 pp.81205-4/Hb/List: $130.00Disc.: $104.0000392-X/Pb/List: $50.00Disc.: $40.00

The Prime Number TheoremGraham JamesonLondon Mathematical SocietyStudent Texts 532003/262 pp./1 line diagram81411-1/Hb/List: $85.00Disc.: $68.0089110-8/Pb/List: $34.99Disc.: $27.99

Generic PolynomialsConstructive Aspects of theInverse Galois ProblemChristian U. JensenArne LedetNoriko YuiMathematical Sciences ResearchInstitute Publications 452002/268 pp./7 line diagrams/1 table81998-9/Hb/List: $80.00Disc.: $64.00

Restricted Orbit Equivalence ofDiscrete Amenable GroupsJanet KammeyerDaniel RudolphCambridge Tracts in Mathematics 1462002/208 pp.80795-6/Hb/List: $65.00Disc.: $52.00

Analysis on FractalsJun KigamiCambridge Tracts in Mathematics 1432001/234 pp./12 line diagrams79321-1/Hb/List: $65.00Disc.: $52.00

Applied Complex VariablesYue Kuen Kwok2002/404 pp./88 figures/300 exercises80302-0/Hb/List: $95.00Disc.: $76.0000462-4/Pb/List: $45.00Disc.: $36.00

Sets for MathematicsF. William LawvereRobert Rosebrugh2003/276 pp./84 line diagrams80444-2/Hb/List: $110.00Disc.: $88.0001060-8/Pb/List: $45.00Disc.: $36.00

Winner of 2002JPBM Communications AwardThe Eightfold WayThe Beauty of Klein’s Quartic CurveEditor Silvio LevyMathematical Sciences ResearchInstitute Publications 352001/342 pp./8 color plates/150 line diagrams00419-5/Pb/List: $34.99Disc.: $27.99

An Interactive Introduction toMathematical AnalysisJonathan Lewin2003/528 pp./(Includes CD)81589-4/Hb/List: $130.00Disc.: $104.0001718-1/Pb/List: $55.00Disc.: $44.00

Coding TheoryA First CourseSan LingChaoping Xing2004/234 pp./50 line diagrams82191-6/Hb/List: $95.00Disc.: $76.0052923-9/Pb/List: $45.00Disc.: $36.00

Combinatorics on WordsEditor M. LothaireCambridge Mathematical Library1997/256 pp.59924-5/Pb/List: $39.99Disc.: $31.99

Affine Hecke Algebras andOrthogonal PolynomialsI.G. MacdonaldCambridge Tracts in Mathematics 1572003/186 pp.82472-9/Hb/List: $75.00Disc.: $60.00

An Algebraic Introduction to K-TheoryBruce A. MagurnEncyclopedia of Mathematics andits Applications 872002/690 pp.80078-1/Hb/List: $130.00Disc.: $104.00

Graph Directed Markov SystemsGeometry and Dynamics of Limit SetsDan MauldinMariusz UrbanskiCambridge Tracts in Mathematics 1482003/294 pp.82538-5/Hb/List: $70.00Disc.: $56.00

The Theory of Information and CodingStudent EditionRobert McEliece2004/410 pp./50 line diagrams83185-7/Hb/List: $65.00Disc.: $52.00

The Theory of CompositesGraeme W. MiltonCambridge Monographs on Appliedand Computational Mathematics 62002/748 pp./67 line diagrams78125-6/Hb/List: $120.00Disc.: $96.00

New Directions in Hopf AlgebrasS. MontgomeryHans-Jürgen SchneiderMathematical Sciences ResearchInstitute Publications 432002/496 pp.81512-6/Hb/List: $85.00Disc.: $68.00

An Introduction toInvariants and ModuliShigeru MukaiTranslated byW.M. OxburyCambridge Tracts in Mathematics 1482003/524 pp.80906-1/Hb/List: $110.00Disc.: $88.00

Indra’s PearlsThe Vision of Felix KleinDavid MumfordCaroline SeriesDavid J. Wright2002/416 pp./250 color plates/250 halftones35253-3/Hb/List: $58.00Disc.: $46.40

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35www.cambridge.org/us/mathematics

Quasi-Frobenius RingsW.K. NicholsonM.F. YousifCambridge Tracts in Mathematics 1542003/326 pp.81593-2/Hb/List: $90.00Disc.: $72.00

Quantum Computation andQuantum InformationM.A. NielsenIsaac L. ChuangCambridge Series on Informationand the Natural Sciences2000/702 pp./91 line diagrams/10 tables63235-8/Hb/List: $150.00Disc.: $120.0063503-9/Pb/List: $75.00Disc.: $60.00

Games of No ChanceEditor Richard J. NowakowskiMathematical Sciences ResearchInstitute Publications 291996/549 pp.57411-0/Hb/List: $95.00Disc.: $76.0064652-9/Pb/List: $37.99Disc.: $30.39

More Games of No ChanceEditor Richard J. NowakowskiMathematical Sciences ResearchInstitute Publications 422002/548 pp./100 line diagrams80832-4/Hb/List: $70.00Disc.: $56.00

Maths: A Student’s Survival GuideA Self-Help Workbook for Scienceand Engineering StudentsSecond EditionJenny Olive2003/648 pp./592 line diagrams/14 tables/770 exercises01707-6/Pb/List: $55.00Disc.: $44.00

Completely Bounded Maps andOperator AlgebrasVern PaulsenCambridge Studies inAdvanced Mathematics 782003/312 pp.81669-6/Hb/List: $80.00Disc.: $64.00

Computational Discrete MathematicsCombinatorics andGraph Theory with MathematicaSriram PemmarajuSteven Skiena2003/494 pp./10 line diagrams80686-0/Hb/List: $68.00Disc.: $54.40

The Mathematics of OzMental Gymnastics from Beyond the EdgeClifford A. Pickover2002/368 pp./80 line diagrams01678-9/Hb/List: $34.99Disc.: $27.99

Abelian Varieties, Theta Functionsand the Fourier TransformAlexander PolishchukCambridge Tracts in Mathematics 1532003/308 pp.80804-9/Hb/List: $80.00Disc.: $64.00

Geometries on SurfacesBurkard PolsterGünter SteinkeEncyclopedia of Mathematics andits Applications 842002/512 pp.66058-0/Hb/List: $120.00Disc.: $96.00

Flexagons Inside OutLes Pook2003/182 pp./300 line diagrams81970-9/Hb/List: $95.00Disc.: $76.0052574-8/Pb/List: $39.99Disc.: $31.99

Geometric DifferentiationFor the Intelligence of Curves and SurfacesSecond EditionIan Porteous2001/350 pp./26 color plates/6 figures/39 line diagrams00264-8/Pb/List: $55.00Disc.: $44.00

The Changing Shape of GeometryCelebrating a Century ofGeometry and Geometry TeachingEditor Chris Pritchard2003/560 pp./300 line diagrams82451-6/Hb/List: $95.00Disc.: $76.0053162-4/Pb/List: $45.00Disc.: $36.00

Infinite-DimensionalDynamical SystemsAn Introduction to Dissipative ParabolicPDEs and the Theory of Global AttractorsJames C. RobinsonCambridge Texts in Applied Mathematics2001/480 pp./14 line diagrams63204-8/Hb/List: $140.00Disc.: $112.0063564-0/Pb/List: $50.00Disc.: $40.00

Modern Signal ProcessingDaniel N. RockmoreDennis M. Healy Jr.Mathematical Sciences ResearchInstitute Publications2004/352 pp.82706-X/Hb/List: $75.00Disc.: $60.00

Diffusions, Markov Processesand MartingalesVolume 1: FoundationsSecond EditionL.C.G. RogersD. WilliamsCambridge Mathematical Library2000/406 pp./49 exercises77594-9/Pb/List: $50.00Disc.: $40.00

Diffusions, Markov Processesand MartingalesVolume 2: Ito CalculusSecond EditionL.C.G. RogersD. WilliamsCambridge Mathematical Library2000/794 pp.77593-0/Pb/List: $50.00Disc.: $40.00

Bäcklund and DarbouxTransformationsGeometry and ModernApplications in Soliton TheoryC. RogersW.K. SchiefCambridge Texts in Applied Mathematics302002/432 pp./2 halftones/46 line diagrams81331-X/Hb/List: $110.00Disc.: $88.0001288-0/Pb/List: $50.00Disc.: $40.00

Galois Groups andFundamental GroupsEditor Leila SchnepsMathematical Sciences ResearchInstitute Publications 412003/482 pp.80831-6/Hb/List: $80.00Disc.: $64.00

Permutation Group AlgorithmsAkos Seress2003/274 pp./30 line diagrams66103-X/Hb/List: $80.00Disc.: $64.00

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Solving ODEs with MATLABL.F. ShampineI. GladwellS. Thompson2003/272 pp./35 line diagrams82404-4/Hb/List: $90.00Disc.: $72.0053094-6/Pb/List: $39.99Disc.: $31.99

Complex PolynomialsTerry Sheil-SmallCambridge Studies inAdvanced Mathematics 752002/448 pp.40068-6/Hb/List: $130.00Disc.: $104.00

Practical Extrapolation MethodsTheory and ApplicationsAvram SidiCambridge Monographs on Appliedand Computational Mathematics 102003/542 pp.66159-5/Hb/List: $130.00Disc.: $104.00

Calculated BetsComputers, Gambling, andMathematical Modeling to WinSteven S. SkienaOutlooksCopublished with the MAA2001/262 pp./8 halftones/27 line diagrams/32 tables00962-6/Pb/List: $22.99Disc.: $18.39

Torsors and Rational PointsAlexei SkorobogatovCambridge Tracts in Mathematics 1442001/196 pp.80237-7/Hb/List: $70.00Disc.: $56.00

Enumerative CombinatoricsVolume 1Richard P. StanleyCambridge Studies inAdvanced Mathematics 491997/337 pp.55309-1/Hb/List: $100.00Disc.: $80.0066351-2/Pb/List: $34.99Disc.: $27.99

Enumerative CombinatoricsVolume 2Richard P. StanleyAppendix bySergey FominCambridge Studies inAdvanced Mathematics 621999/594 pp./59 line diagrams56069-1/Hb/List: $130.00Disc.: $104.0078987-7/Pb/List: $45.00Disc.: $36.00

A Primer of Analytic Number TheoryFrom Pythagoras to RiemannJeffrey Stopple2003/398 pp.81309-3/Hb/List: $95.00Disc.: $76.0001253-8/Pb/List: $39.99Disc.: $31.99

2002 Choice OutstandingAcademic Title Award WinnerA Brief Guide toAlgebraic Number TheoryPeter Swinnerton-DyerLondon Mathematical SocietyStudent Texts 502001/160 pp./36 exercises00423-3/Pb/List: $34.99Disc.: $27.99

Lectures in Logic and Set TheoryVol. 1: Mathematical LogicGeorge TourlakisCambridge Studies inAdvanced Mathematics 822003/340 pp.75373-2/Hb/List: $70.00Disc.: $56.00

Lectures in Logic and Set TheoryVol. 2: Set TheoryGeorge TourlakisCambridge Studies inAdvanced Mathematics 832003/592 pp.75374-0/Hb/List: $95.00Disc.: $76.00

A Course in CombinatoricsSecond EditionJacobus H. van LintRichard M. Wilson2001/616 pp.80340-3/Hb/List: $100.00Disc.: $80.0000601-5/Pb/List: $55.00Disc.: $44.00

Modern Computer AlgebraSecond EditionJoachim von zur GathenJurgen Gerhard2003/800 pp./49 figures/29 tables/563 exercises82646-2/Hb/List: $75.00Disc.: $60.00

Cohomology ofVector Bundles and SyzygiesJerzy WeymanCambridge Tracts in Mathematics 1492003/388 pp./43 line diagrams62197-6/Hb/List: $90.00Disc.: $72.00

Weighing the OddsA Course in Probability and StatisticsDavid Williams2001/566 pp./45 figures/35 tables/225 exercises80356-X/Hb/List: $140.00Disc.: $112.0000618-X/Pb/List: $50.00Disc.: $40.00

A Panorama of Number Theory orThe View from Baker’s GardenEditor Gisbert Wüstholz2002/372 pp.80799-9/Hb/List: $120.00Disc.: $96.00

Journals

Acta NumericaEditorArieh IserlesUniversity of Cambridge, UK

This annual collection of review articlesincludes survey papers by leadingresearchers in numerical analysis andscientific computing. The papers presentoverviews of recent advances and providestate-of-the-art techniques and analysis.Covering the breadth of numericalanalysis, articles are written in a styleaccessible to researchers at all levels.Annual (Hardcover) (ISSN 0962-4929)Subscription to Volume 15 (2006):Subscriptions $80.00 (reg. $100.00)

Bulletin of the LondonMathematical SocietyEditorsGordon BlowerLancaster University, UK Richard GreenLancaster University, UKProduced, marketed and distributed forthe London Mathematical Society

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The Bulletin publishes important shortresearch articles covering the whole ofpure mathematics, together with moreapplied areas of analysis, theoreticalcomputing and mathematical physics. Itpublishes authoritative survey articles andadvanced expositions of an extensivenature, reviewing all major developmentsin an important area over many years.Bimonthly (ISSN 0024-6093)Subscription to Volume 37 (2005):Subscriptions $312.00 (reg. $390.00)

Combinatorics,Probability & ComputingEditor-in-chiefBéla BollobásUniversity of Memphis

Published bimonthly, Combinatorics,Probability & Computing is devotedto the three areas of combinatorics,probability theory and theoreticalcomputer science. Topics covered include:classical and algebraic graph theory,probabilistic methods and randomcombinatorial structures, the theory ofalgorithms, computational learning theoryand optimisation.Bimonthly (ISSN 0963-5483)Subscription to Volume 14 (2005):Subscriptions $286.40 (reg. $358.00)

Compositio MathematicaManaging EditorsBas EdixhovenLeiden University, The NetherlandsGerard van der GeerUniversity of Amsterdam, The Netherlands

Compositio Mathematica is published bythe London Mathematical Society onbehalf of the Foundation CompositioMathematica. The aim of the journalis to publish first-class research papersthat traditionally focus on the mainstreamof pure mathematics. CompositioMathematica has a wide scope whichincludes the fields of algebra, numbertheory, topology, algebraic and analyticgeometry and (geometric) analysis.Papers on other topics are welcomeif they are of broad interest.All contributions are required to meethigh standards of quality and originalityand are carefully screened by expertsin the field.Bimonthly (ISSN 0010-437X) Volume 141 (2005)Subscriptions $979.20 (reg. $1224.00)

Econometric TheoryEditorPeter C. B. PhillipsYale University

Econometric Theory is an internationaljournal dedicated to advancing theo--retical research in econometrics.The journal provides an authoritative,centralized, professional outlet fororiginal contributions in all of the majorareas of econometrics. As well as periodicbook reviews and articles that embodyoriginal theoretical research, the journalpublishes historical studies on theevolution of econometric thought andon major scholars.6 issues a year (ISSN 0266-4666)Subscription to Volume 21 (2005):Institutions $406.40 (reg. $508.00)Individuals $138.40 (reg. $173.00)

Ergodic Theory andDynamical SystemsManaging EditorsS. van StrienUniversity of Warwick, UK P. WaltersUniversity of Warwick, UK

Ergodic Theory and Dynamical Systemsfocuses on a rich variety of researchareas which, although diverse, employas common themes global dynamicalmethods. The journal acts as a forum forcentral problems of differential geometry,number theory, operator algebras,topological, differential and symbolicdynamics, and celestial and statisticalmechanics.Bimonthly (ISSN 0143-3857)Subscription to Volume 25 (2005):Subscriptions $638.40 (reg. $798.00)

European Journal ofApplied MathematicsEditors-in-ChiefS.D. HowisonUniversity of Oxford, UKA.A. LaceyHeriot-Watt University, UKM.J. WardUniversity of British Columbia, Canada

The advent of powerful user-friendlycomputer codes in science and industryhas increasingly led research workersto pose their problems in mathematicalterms, requiring new and high-levelmathematical analysis. EJAM focuseson mathematics inspired by real-worldapplications, fostering the developmentof theoretical methods with broadapplicability.

Bimonthly (ISSN 0956-7925)Subscription to Volume 16 (2005):Subscriptions $364.80 (reg. $456.00)

Glasgow MathematicalJournalEditors-in-ChiefA. W. MasonUniversity of Glasgow, UK Published for the Glasgow MathematicalJournal Trust

The Glasgow Mathematical Journalpublishes original research papers in anybranchof pure and applied mathematics.An international journal, it features awide variety of research areas, which haveincluded ring theory, functional analysis,combinatorics, differential equations,number theory, algebraic topology, andthe application of such methods inapplied mathematics.Triannual (ISSN 0017-0895)Subscription to Volume 47 (2005):Subscriptions $190.40 (reg. $238.00)

Journal ofFluid MechanicsEditorsStephen H. DavisNorthwestern UniversityT. J. PedleyUniversity of Cambridge, UK

Journal of Fluid Mechanics publishesauthoritative articles covering theo-retical, computational and experimentalinvestigations of all aspects of themechanics of fluids. Papers discussboth the fundamental aspects of fluidmechanics, and their applications to otherfields such as aeronautics, astrophysics,physiology, chemical and mechanicalengineering, oceanography, geology,and combustion.24 issues (ISSN 0022-1120)Subscription to Volume 522-545 (2005):Institutions $1824.00 (reg. $2280.00)Individuals $638.40 (reg. $798.00)

Journal of theInstitute ofMathematics of JussieuEditorColette MoeglinUniversité Paris VI, FrancePublished for the Institute of Mathematics of Jussieu

The Journal of the Institute of Mathematicsof Jussieu is a new publication covering alldomains in pure mathematics. It willinclude important research articles from

Journals

38Call 1-800-872-7423 • Fax 845-353-4141

areas such as operator algebra, numbertheory, algebraic and Lie groups,differential and symplectic geometry,partial differential equations, Banachspaces, potential theory, mathematicalphysics, and probability.Quarterly (ISSN 1474-7480)Subscription to Volume 4 (2005):Subscriptions $169.60 (reg. $212.00)

Journal of the LondonMathematical SocietyEditorsFrancis E. BurstallUniversity of Bath, UKJohn F. TolandUniversity of Bath, UKProduced, marketed and distributed forthe London Mathematical Society

This journal publishes papers from abroad spectrum but with the mainemphasis on pure mathematics. Theserange from number theory to functionalanalysis, from finite simple groups to themathematical foundations of quantumtheory, from logic and topos theory to thetopology of Lie groups.Bimonthly (ISSN 0024-6107)Subscription to Volume 71-72 (2005):Subscriptions $676.80 (reg. $846.00)

Mathematical Structuresin Computer ScienceEditorG. LongoCNRS and Ecole Normale Supérieure, Paris, France

This journal of theoretical computerscience focuses on the applicationof ideas from the structural side ofmathematics to computer science.The journal publishes original papersin all areas of computing, providedthat ideas or results from logic andmathematics form a basis for the work.Bimonthly (ISSN 0960-1295)Subscription to Volume 15 (2005):Subscriptions $361.60 (reg. $452.00)

LMS Journal ofComputation andMathematicsEditor-in-ChiefJ.H. DavenportUniversity of Bath, UK

The LMS Journal of Computation andMathematics is an electronic-onlyresource that publishes papers on thecomputational aspects of mathematics,mathematical aspects of computation,and papers in mathematics which benefit

from being published electronically. Rapidtimes to publication ensures that readersare kept abreast of ground-breakingdevelopments fast and, while the maintext of each paper is guaranteed toremain unaltered, the journal’s formatenables users to add updates anddiscussions to papers encouraging moreinteractivity. Hyperlinks are also providedfor cross-references within and betweenpapers. The journal is refereed to thesame high standard as the establishedLMS journals, and carries a commitmentfrom the LMS to keep it archived into theindefinite future.Access is free until further notice. Go tohttp://www.lms.ac.uk/jcm for further details.Constantly Updated (E-ISSN 1461-1570) Volume 8 (2005)

MathematicalProceedings ofthe CambridgePhilosophical SocietyEditorC. B. ThomasUniversity of Cambridge, UK

Mathematical Proceedings publishesoriginal research papers that cover thewhole range of pure and appliedmathematics, theoretical physics andstatistics. All branches of puremathematics are covered, including logicand foundations, geometry, classical andfunctional analysis, probability andstatistics. On the applied side, mechanics,relativity and cosmology are included.Bimonthly (ISSN 0305-0041)Subscription to Volume 138-139 (2005):Subscriptions $547.20 (reg. $684.00)

Probability in theEngineering andInformational SciencesEditorSheldon M. RossUniversity of California, Berkeley

This journal focuses on stochasticmodelling in the physical and engineeringsciences, with particular emphasis onqueueing theory, reliability theory,inventory theory, simulation, stochasticcontrol theory and probabilistic networksand graphs.Quarterly (ISSN 0269-9648)Subscription to Volume 19 (2005):Institutions $430.40 (reg. $538.00)Individuals $100.00 (reg. $125.00)

Proceedings ofthe EdinburghMathematical SocietyManaging EditorG.A. WatsonUniversity of Dundee, UKPublished for the EdinburghMathematical Society

The Edinburgh Mathematical Society wasfounded in 1883 and over the years, hasevolved into the principal society for thepromotion of mathematics research inScotland. The Society has published itsProceedings since 1884. This containsresearch papers on topics in a broadrange of pure and applied mathematics,together with a number of topical bookreviews.Triannual (ISSN 0013-0915)Subscription to Volume 48 (2005):Subscriptions $224.00 (reg. $280.00)

Proceedings of theLondon MathematicalSocietyEditorsConstantin TelemanUniversity of Cambridge, UKBurt Totaro University of Cambridge, UKProduced, marketed and distributed forthe London Mathematical Society

The Proceedings of the LondonMathematical Society has been publishedsince 1865.It publishes longer research papers,covering a wide range of mathematicaltopics, including real and complexanalysis, differential equations andrelated areas, topology, geometry, logic,probability and statistics, algebra, numbertheory and combinatorial theory.Bimonthly (ISSN 0024-6115)Subscription to Volume 90-91 (2005):Subscriptions $736.00 (reg. $920.00)

Journals

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___ 795400 Hatcher/Algebraic ........Pb $33.99 $27.19

___ 811600 Hélein/Harmonic ..........Hb $90.00 $72.00

___ 574919 Henry/Boundary ...........Pb $60.00 $48.00

___ 812968 Hertling/Frobenius........Hb $85.00 $68.00

___ 838991 Hewitt/Flows ................Hb $175.00 $140.00

___ 838843 Higham/Option ............Hb $95.00 $76.00

___ 547571 Higham ........................Pb $45.00 $36.00

___ 836603 Hirota/Direct.................Hb $70.00 $56.00

___ 604761 Homsy/Fluid .................CD $21.00 $16.80

___ 842743 Howison/Practical.........Hb $125.00 $100.00

___ 603692 Howison ......................Pb $55.00 $44.00

___ 817501 Hoyle/Pattern ...............Hb $80.00 $64.00

___ 674549 Humphreys/Lie Type.....Pb $55.00 $44.00

___ 54050X Humphreys/Numbers ...Pb $45.00 $36.00

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___ 818338 Ionin/Symmetric ...........Hb $110.00* $88.00*

___ 782015 Ismail/Classical..............Hb $140.00 $112.00

___ 623499 Ivanov/Sporadic II .........Hb $95.00 $76.00

___ 413621 Ivanov/Sporadic............Hb $100.00 $80.00

___ 827213 Jabri/Pass......................Hb $110.00 $88.00

___ 812054 James/Groups ..............Hb $130.00 $104.00

___ 00392X James...........................Pb $50.00 $40.00

___ 80826X James/Guide ................Hb $65.00 $52.00

___ 004284 James...........................Pb $26.00 $20.80

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___ 807956 Kammeyer/Orbit...........Hb $65.00 $52.00

___ 793211 Kigami/Analysis ............Hb $65.00 $52.00

___ 852889 Kiusalaas/MATLAB® ....Hb $85.00 $68.00

___ 852870 Kiusalaas/Numerical .....Hb $85.00 $68.00

___ 837030 Kleshchev/Linear ..........Hb $80.00 $64.00

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___ 540135 Komori/Kleinian ...........Pb $70.00 $56.00

___ 803020 Kwok/Applied ..............Hb $95.00 $76.00

___ 004624 Kwok ...........................Pb $45.00 $36.00

___ 826799 Lauritzen/Concrete.......Hb $90.00 $72.00

___ 534100 Lauritzen ......................Pb $39.99 $31.99

___ 804442 Lawvere/Sets ................Hb $110.00 $88.00

___ 010608 Lawvere .......................Pb $45.00 $36.00

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___ 772907 Leimkuhler/Simulating..Hb $75.00 $60.00

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___ 837413 Lindsey/Processes .........Hb $75.00 $60.00

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___ 529239 Ling..............................Pb $45.00 $36.00

___ 827507 Linton/Eudoxus ............Hb $110.00 $88.00

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___ 620589 Mezzadri/Recent ..........Pb $65.00 $52.00

___ 781256 Milton/Theory ..............Hb $120.00 $96.00

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___ 849039 Montgomery/Multiplicative I........Hb $80.00* $64.00*

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___ 809061 Mukai/Invariants...........Hb $110.00 $88.00

___ 352533 Mumford/Indra’s ..........Hb $58.00 $46.40

___ 839793 Nemat-Nasser/Plasticity Hb $150.00 $120.00

___ 829968 Netz/Early.....................Hb $80.00 $64.00

___ 815932 Nicholson/Quasi-Frobenius ...............Hb $90.00 $72.00

___ 632358 Nielsen/Quantum .........Hb $150.00 $120.00

___ 635039 Nielsen .........................Pb $75.00 $60.00

___ 574110 Nowakowski/Games ....Hb $95.00 $76.00

___ 646529 Nowakowski ................Pb $37.99 $30.39

___ 808324 Nowakowski/MoreGames ...................Hb $70.00 $56.00

___ 017076 Olive/Maths..................Pb $55.00 $44.00

___ 591635 Olivieri/Large ................Hb $150.00 $120.00

___ 831865 Ovsienko/Projective ......Hb $85.00 $68.00

___ 857007 Pachter/Biology ............Hb $60.00* $48.00*

___ 816696 Paulsen/Maps...............Hb $80.00 $64.00

___ 806860 Pemmaraju/Discrete .....Hb $68.00 $54.40

___ 016789 Pickover/Oz ..................Hb $34.99 $27.99

___ 848865 Pinchover/Partial...........Hb $120.00 $96.00

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___ 855543 Playfair/Playfair’s...........Hb $39.99 $31.99

___ 830915 Poisson/Toolkit .............Hb $65.00 $52.00

___ 672279 Polchinski/String 1........Pb $45.00 $36.00

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___ 660580 Polster/Geometries .......Hb $120.00 $96.00

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___ 547938 Prasolov/Surveys...........Pb $70.00 $56.00

___ 750334 Press/Recipes C++........Hb $75.00 $60.00

___ 750377 Press/Recipes C/C++ SourceCDROM .................CD $50.00 $40.00

___ 431085 Press/Recipes C ............Hb $75.00 $60.00

___ 43064X Press/Recipes Fortran77/1.......................Hb $75.00 $60.00

___ 574390 Press/Recipes Fortran90/2.......................Hb $55.00 $44.00

___ 750369 Press/Recipes Multi-LanguageCDROM LINUX.......CD$150.00 $120.00

___ 750350 Press/Recipes Multi-LanguageCDROM .................CD $90.00 $72.00

___ 437202 Press/RecipesC Example..............Pb $37.99 $30.39

___ 750342 Press/RecipesExample [C++] .......Pb $37.99 $30.39

___ 437210 Press/Recipes Fortran 77Example .................Pb $37.99 $30.39

___ 824516 Pritchard/Shape............Hb $95.00 $76.00

___ 531624 Pritchard ......................Pb $45.00 $36.00

___ 858119 Rao/Rigid......................Hb $85.00 $68.00

___ 84889X Reid/Geometry .............Hb $95.00 $76.00

___ 613256 Reid .............................Pb $45.00 $36.00

___ 84729X Robin/DNA...................Hb $55.00 $44.00

___ 826500 Robinson/Ordinary .......Hb $110.00 $88.00

___ 533910 Robinson......................Pb $50.00 $40.00

___ 632048 Robinson/Systems ........Hb $140.00 $112.00

___ 635640 Robinson......................Pb $50.00 $40.00

___ 82706X Rockmore/Signal ..........Hb $75.00 $60.00

___ 81331X Rogers/Bäcklund ..........Hb $110.00 $88.00

___ 012880 Rogers..........................Pb $50.00 $40.00

___ 775949 Rogers/Diffusions 1 ......Pb $50.00 $40.00

___ 775930 Rogers/Diffusions 2 ......Pb $50.00 $40.00

___ 845041 Roth/Coding ................Hb $75.00 $60.00

___ 837332 Rovelli/Quantum ..........Hb $80.00 $64.00

___ 828910 Rudnick/Elements.........Hb $70.00 $56.00

All individual orders must be prepaid or charged on American Express, VISA or MasterCard (libraries excepted).Books are only available for shipment within North America. The use of a credit card will expedite your order.It allows us to process your order more quickly and you are only charged for the book(s) at the time of shipment. Anybook(s) not yet published, or temporarily out of stock, will be charged only when the book(s) becomes available and isin the process of being shipped. A maximum of 3 copies of any single publication will be supplied per order at thediscount prices. Residents of New York and California, please add appropriate sales tax. Canadian customers: booksshipped to Canadian addresses will be billed in CAD $ (our CAD $ price plus 7% GST). Any special offersincluded on this form will be honored. We ask that Canadian customers pay with a credit card. Shippingcharges in North America are $6.00 for the first book; $1.75 for each additional book. Includes UPS delivery for mostdomestic orders. Special subscription discounts cannot be applied to previously paid and processed orders. CambridgeISBN prefix is 0-521. Please allow 3-4 weeks for delivery. ALL PRICES SUBJECT TO CHANGE. EXPIRATION DATE:JUNE 30, 2006.

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Qty. List Disc. Qty. List Disc.

___ 827736 Samimy/Fluid................Hb $90.00 $72.00

___ 53500X Samimy ........................Pb $37.99 $30.39

___ 523443 Santaló/Integral............Pb $55.00 $44.00

___ 843979 Schechter/Nonlinear.....Hb $80.00 $64.00

___ 82964X Schenck/Computational.......Hb $80.00 $64.00

___ 536502 Schenck .......................Pb $29.99 $23.99

___ 850150 Schilling/Measures........Hb $90.00 $72.00

___ 615259 Schilling .......................Pb $50.00 $40.00

___ 808316 Schneps/Galois.............Hb $80.00 $64.00

___ 832594 Senn/Dicing..................Hb $80.00 $64.00

___ 540232 Senn ............................Pb $28.99 $23.19

___ 66103X Seress/Permutation.......Hb $80.00 $64.00

___ 84472X Severini/Elements .........Hb $65.00 $52.00

___ 824044 Shampine/ODEs ...........Hb $90.00 $72.00

___ 530946 Shampine.....................Pb $39.99 $31.99

___ 836263 Shaw/Complex.............Hb $70.00* $56.00*

___ 400686 Sheil-Small/Complex ....Hb $130.00 $104.00

___ 450543 Shiohama/Total ............Hb $80.00 $64.00

___ 851548 Shoup/Number ............Hb $55.00 $44.00

___ 661595 Sidi/Practical .................Hb $130.00 $104.00

___ 009626 Skiena/Bets ..................Pb $22.99 $18.39

___ 802377 Skorobogatov/Torsors ..Hb $70.00 $56.00

___ 834929 Snieder/Guided ............Hb $65.00 $52.00

___ 825849 Staffans/Linear .............Hb $150.00 $120.00

___ 553091 Stanley/Enumerative 1..Hb $100.00 $80.00

___ 663512 Stanley .........................Pb $34.99 $27.99

___ 560691 Stanley/Enumerative 2..Hb $130.00 $104.00

___ 789877 Stanley .........................Pb $45.00 $36.00

___ 823560 Stephenson/Circle ........Hb $60.00 $48.00

___ 813093 Stopple/Primer .............Hb $95.00 $76.00

___ 012538 Stopple ........................Pb $39.99 $31.99

___ 847664 Suhov/Probability 1 ......Hb $110.00 $88.00

___ 612330 Suhov...........................Pb $50.00 $40.00

___ 836506 Swallow/Galois.............Hb $75.00 $60.00

___ 544998 Swallow .......................Pb $34.99 $27.99

___ 004233 Swinnerton-Dyer/Brief..Pb $34.99 $27.99

___ 829607 Szekeres/Modern .........Hb $70.00 $56.00

___ 852315 Talbot/Cryptography ....Hb $95.00 $76.00

___ 617715 Talbot ..........................Pb $50.00 $40.00

___ 850142 Tattersall/Nine ..............Hb $85.00 $68.00

___ 615240 Tattersall ......................Pb $34.99 $27.99

___ 810523 Taylor/Social .................Hb $70.00 $56.00

___ 008832 Taylor...........................Pb $24.99 $19.99

___ 617235 Temam/Continuum......Pb $55.00 $44.00

___ 837820 Tieszen/Phenomenology.....Hb $70.00 $56.00

___ 833299 Tijms/Understanding ....Hb $75.00 $60.00

___ 540364 Tijms ............................Pb $32.99 $26.39

___ 753732 Tourlakis/Logic 1 ..........Hb $70.00 $56.00

___ 753740 Tourlakis/Logic 2 ..........Hb $95.00 $76.00

___ 824699 Uhlmann/Inside Out .....Hb $80.00 $64.00

___ 852242 Valtonen/Three-Body ...Hb $80.00 $64.00

___ 803403 van Lint/Course ............Hb $100.00 $80.00

___ 006015 van Lint ........................Pb $55.00 $44.00

___ 861241 Velleman/Prove ............Hb $75.00 $60.00

___ 675995 Velleman......................Pb $29.99 $23.99

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___ 807999 Wüstholz/Panorama.....Hb $120.00 $96.00

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___ 444705 Zabell/Symmetry...........Hb $70.00 $56.00

___ 44912X Zabell ...........................Pb $24.99 $19.99

___ 836662 Zomorodian/Topology..Hb $60.00 $48.00

___ 855357 Zong/Cube-A ...............Hb $70.00 $56.00

___ 831431 Zwiebach/String ...........Hb $68.00 $54.40

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