J. Awrejcewicz, Classical Mechanics Aeroelasticity ...static.springer.com/sgw/documents/1324837/application/pdf/news1204... · News 4/2012 Mathematics 31 D. W. Cunningham, Buffalo

News 4/2012 Mathematics

29

G. E. Andrews, Pennsylvania State University, University Park, PA, USA; B. C. Berndt, University of Illinois, Urbana-Champaign, IL, USA

Ramanujan‘s Lost NotebookPart III

In the spring of 1976, George Andrews of Pennsyl-vania State University visited the library at Trinity College, Cambridge to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, „Ramanujan‘s lost notebook.“ Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven‘s tenth symphony.

Features 7 Third volume of a series of five volumes including some of Ramanujan's deepest work in the last year of his life 7 Contains material of which mathematicians currently lack a complete understanding 7 Focuses on the ordinary par-tition function p(n), including ranks, cranks, and congruences for p(n)

Contents Preface.- Introduction.- 1. Ranks and Cranks, Part I.- 2. Ranks and Cranks, Part II.- 3. Ranks and Cranks, Part III.- 4. Ramanujan‘s Unpublished Manuscript on the Partition and Tau Functions.- 5. Theorems about the Partition Function on Pages 189 and 182.- 6. Congruences for Generalized Tau Functions on Page 178.- 7. Ramanujan‘s Forty Identities for the Rogers-Ramanujan Functions.- 8. Circular Summation.- 9. Highly Composite Numbers.- Scratch Work.- Location Guide.- Pro-venance.- References.

Fields of interestNumber Theory

Target groupsResearch

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2012. XII, 434 p. 4 illus. Hardcover7 approx. $129.00ISBN 978-1-4614-3809-0

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J. Awrejcewicz, Technical University of Lodz, Poland

Classical MechanicsDynamics

This is the second volume of three books devoted to Mechanics. In this book, dynamical and advan-ced mechanics problems are stated, illustrated, and discussed, including a few novel concepts in comparison to standard text books and mono-graphs. Apart from being addressed to a wide spectrum of graduate students, postgraduate students, researchers, and teachers from the fields of mechanical and civil engineering, this volume is also intended to be used as a self-contained material for applied mathematicians and physical scientists and researchers.

Features 7 Provides the reader with a step-by-step intro-duction to the material, enabling them to learn quickly 7 Makes a bridge between theoretical (physics) and applied (engineering) classical mechanics 7 Contains numerous examples supported by color figures, illustrating various theoretical concepts

Contents Preface.- 1. Particle Dynamics, Material System Dynamics and Rigid Body Motion About a Point.- 2. Mathematical and Physical Pendulum.- 3. Sta-tics and Dynamics in Generalized Coordinates.- 4. Classical Equations of Dynamics.- 5. Theory of Impact.- 6. Vibrations of Mechanical Systems.- 7. Elements of Dynamics of Planets.- 8. Dynamics of Systems of Variable Mass.- 9. Body and Multibo-dy Dynamics.- 10. Stationary Motions of a Rigid Body and their Stability. -11. Geometric Dynamics.

Fields of interestsMathematical Physics; Mechanics

Target groupsGraduate

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2012. XVI, 460 p. 127 illus. in color. (Advances in Mechanics and Mathematics, Volume 29) Hardcover7 $169.00ISBN 978-1-4614-3739-0

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A. Balakrishnan, University of California, Los Angeles, CA, USA

AeroelasticityThe Continuum Theory

The author‘s approach is one of continuum models of the aerodynamic flow interacting with a flexible structure whose behavior is governed by partial differential equations. Both linear and nonlinear models are considered although much of the book is concerned with the former while keeping the latter clearly in view. A complete chapter is also devoted to nonlinear theory. The author has provi-ded new insights into the classical inviscid aerody-namics and raises novel and interesting questions on fundamental issues that have too often been neglected or forgotten in the development of the early history of the subject. The author contrasts his approach with discrete models for the unsteady aerodynamic flow and the finite element model for the structure. Much of the aeroelasticity has been developed with applications formerly in mind because of its enormous consequences for the safety of aircraft. Aeroelastic instabilities such as divergence and flutter and aeroelastic responses to gusts can pose a significant hazard to the aircraft and impact its performance.

Feature 7 New Theory

Contents Introduction.- Dynamics of Wing Structure.- The Air Flow Model.- The Steady State HStatic L Solution of the Aeroelastic Equation.- Linear Aeroelasticity Theory � The Possio Integral Equation.- NonLinear Aeroelasticity Theory in 2 D Aerodynamics Flutter As LCO.- Viscous Flow Theory.-Optimal Control Theory : Flutter Suppres-sion.- Aeroelastic Gust Response.-

Fields of interestsFunctional Analysis; Engineering Design; Conti-nuum Mechanics and Mechanics of Materials


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2012. XIV, 402 p. 11 illus. Hardcover7 $129.00ISBN 978-1-4614-3608-9

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Mathematics springer.com/NEWSonline

30

A. Bogatyrev, Institute of Numerical Mathematics, Moscow, Russia

Extremal Polynomials and Riemann SurfacesTranslated by: N. Kruzhilin, Steklov Mathematical Institute, Moscow, Russia

The problems of conditional optimization of the uniform (or C-) norm for polynomials and rational functions arise in various branches of science and technology. Their numerical solution is notoriously difficult in case of high degree func-tions. The book develops the classical Chebyshev‘s approach which gives analytical representation for the solution in terms of Riemann surfaces. The techniques born in the remote (at the first glance) branches of mathematics such as complex analysis, Riemann surfaces and Teichmüller theory, folia-tions, braids, topology are applied to approxima-tion problems.

Features 7 Includes numerous problems and exercises which provide a deep insight in the subject and allow to conduct independent research in this topic 7 Contains many pictures which visualize involved theory 7 Description of effective com-putational algorithms for higher genus algebraic curves provides wide opportunities for numerical experiments in mathematics and theoretical physics

Contents 1 Least deviation problems.- 2 Chebyshev repre-sentation of polynomials.- 3 Representations for the moduli space.- 4 Cell decomposition of the moduli space.- 5 Abel’s equations.- 6 Compu-tations in moduli spaces.- 7 The problem of the optimal stability polynomial.- Conclusion.- Refe-rences.

Fields of interestsFunctions of a Complex Variable; Approximations and Expansions; Numerical Analysis


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Original Russian edition published by Steklov Mathematical Institute, Moscow, Russia

2012. XXV, 148 p. 47 illus. (Springer Monographs in Mathematics) Hardcover7 $89.95ISBN 978-3-642-25633-2

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R. Coleman, Laboratoire Jean Kuntzmann, Grenoble, France

Calculus on Normed Vector SpacesThis book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematical maturity. All the impor-tant topology and functional analysis topics are introduced where necessary. In its attempt to show how calculus on normed vector spaces extends the basic calculus of functions of several variables, this book is one of the few textbooks to bridge the gap between the available elementary texts and high level texts. The inclusion of many non-trivial applications of the theory and interesting exercises provides motivation for the reader.

Features 7 Presents an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level 7 One of the few textbooks to bridge the gap between the available elementary texts and high level texts 7 Includes many non-trivial applications of the theory and interesting exercises

Contents Preface.- 1 Normed Vector Spaces.- 2 Diffe-rentiation.- 3 Mean value theorems.- 4 Higher derivatives and differentials.- 5 Taylor theorems and applications.- 6 Hilbert spaces.- 7 Convex functions.- 8 The inverse and implicit mapping theorems.- 9 Vector fields.- 10 The flow of a vector field.- 11 The calculus of variations: an introduc-tion.- Bibliography.- Index

Fields of interestsFunctional Analysis; Optimization


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2012. X, 178 p. (Universitext) Softcover7 approx. $49.95ISBN 978-1-4614-3893-9

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G. Csató, B. Dacorogna, O. Kneuss, Ecole Polytechnique Fédérale de Lausanne, Switzerland

The Pullback Equation for Differential FormsAn important question in geometry and analysis is to know when two k-forms f and g are equivalent through a change of variables.

Features 7 The only book to systematically explore the equivalence of differential forms 7 Rigorously presents Hodge decomposition and several ver-sions of the Poincaré lemma 7 Includes a very rare, extended study of Hölder spaces 7 Useful resource for graduate students and researchers, requiring only an elementary knowledge of differential geometry and partial and ordinary differential equations

Contents Introduction.- Part I Exterior and Differenti-al Forms.- Exterior Forms and the Notion of Divisibility.- Differential Forms.- Dimension Reduction.- Part II Hodge-Morrey Decompositi-on and Poincaré Lemma.- An Identity Involving Exterior Derivatives and Gaffney Inequality.- The Hodge-Morrey Decomposition.- First-Order Elliptic Systems of Cauchy-Riemann Type.- Poin-caré Lemma.- The Equation div u = f.- Part III The Case k = n.- The Case f × g > 0.- The Case Without Sign Hypothesis on f.- Part IV The Case 0 ≤ k ≤ n–1.- General Considerations on the Flow Method.- The Cases k = 0 and k = 1.- The Case k = 2.- The Case 3 ≤ k ≤ n–1.- Part V Hölder Spaces.- Hölder Continuous Functions.- Part VI Appendix.- Necessary Conditions.- An Abstract Fixed Point Theorem.- Degree Theory.- Referen-ces.- Further Reading.- Notations.- Index.

Fields of interestsPartial Differential Equations; Linear and Mul-tilinear Algebras, Matrix Theory; Differential Geometry


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2012. XI, 436 p. (Progress in Nonlinear Differential Equations and Their Applications, Volume 83) Hardcover7 $149.00ISBN 978-0-8176-8312-2

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31

D. W. Cunningham, Buffalo State College, NY, USA

A Logical Introduction to ProofThe book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. One of the key components in this textbook is the development of a methodology to lay bare the structure underpinning the construc-tion of a proof, much as diagramming a sentence lays bare its grammatical structure. Diagramming a proof is a way of presenting the relationships between the various parts of a proof. A proof diagram provides a tool for showing students how to write correct mathematical proofs.

Features 7 Identifies the important topics in logic that mathematicians use in their proofs 7 Methodi-cally presents the key strategies used in mathema-tical proofs 7 Each proof strategy is illustrated by a variety of theorems concerning the natural, rational and real numbers 7 An introduction to group theory and real analysis that presents proof strategies for dealing with the core concepts introduced in these subjects

Contents Preface.- The Greek Alphabet.- 1. Propositional Logic.- 2. Predicate Logic.- 3. Proof Strategies and Diagrams.- 4. Mathematical Induction.- 5. Set Theory.- 6. Functions.- 7. Relations.- 8. Core Concepts in Abstract Algebra.- 9. Core Concepts in Real Analysis.- A Summary of Strategies.- Refe-rences.- List of Symbols. Index.

Fields of interestsMathematics, general; Mathematical Logic and Foundations

Target groupsLower undergraduate

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2012. XIV, 344 p. 40 illus. Hardcover7 approx. $59.95ISBN 978-1-4614-3630-0

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M. Doumpos, C. Zopounidis, Technical University of Crete, Chania, Greece; P. M. Pardalos, University of Florida, Gainesville, FL, USA (Eds.)

Financial Decision Making Using Computational IntelligenceContents Preface.- List of Contributors.- 1. Statistically Prin-cipled Application of Computational Intelligence Techniques for Finance (J.V. Healy).- 2. Can Arti-ficial Traders Learn and Err Like Human Traders? A New Direction for Computational Intelligence in Behavioral Finance (S.-H. Chen, K.-C. Shih, C.-C. Tai).- 3. Application of Intelligent Systems for News Analytics (C. Bozic, S. Chalup, D. Seese).- 4. Modelling and Trading the Greek Stock Market with Hybrid ARMA-Neural Network Models (C. L. Dunis, J. Laws, A. Karathanasopoulos).- 5. Pattern Detection and Analysis in Financial Time Series Using Suffix Arrays (K. F. Xylogiannopou-los, P. Karampelas, R. Alhajj).- 6. Genetic Pro-gramming for the Induction of Seasonal Forecasts: A Study on Weather Derivatives (A. Agapitos, M. O’Neill, A. Brabazon).- 7. Evolution Strategies for IPO Underpricing Prediction (D. Quintana, C. Luque, J. M. Valls, P. Isasi).- 8. Bayesian Networks for Portfolio Analysis and Optimization (S. Villa, F. Stella).- 9. Markov Chains in Modelling of the Russian Financial Market (G. A. Bautin and V. A. Kalyagin).- 10. Fuzzy Portfolio Selection Models: A Numerical Study (En. Vercher and J. D. Bermú-dez).- 11. Financial Evaluation of Life Insurance Policies in High Performance Computing Envi-ronments (S. Corsaro, P. L. De Angelis, Z. Marino, P. Zanetti).- Index.

Fields of interestsOperations Research, Management Science; Finance/Investment/Banking


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2012. XXII, 314 p. 89 illus., 47 in color. (Springer Optimization and Its Applications, Volume 70) Hardcover7 approx. $129.00ISBN 978-1-4614-3772-7

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H. Dym, Weizmann Institute of Science, Rehovot, Israel; M. C. Oliveira, University of California, San Diego, CA, USA; M. Putinar, University of California, Santa Barbara, CA, USA (Eds.)

Mathematical Methods in Systems, Optimization, and ControlFestschrift in Honor of J. William Helton

This volume is dedicated to Bill Helton on the occasion of his sixty fifth birthday. It contains biographical material, a list of Bill‘s publications, a detailed survey of Bill‘s contributions to operator theory, optimization and control and 19 technical articles.

Features 7 Original articles present a broad range of cut-ting-edge research 7 Surveys provide snapshots of the state of operator theory, engineering, and optimization 7 Areas of application include sys-tems and control, mathematical biology, finance, combinatorics, and optimization

Contents Preface.- Inroduction (an overview of the contents of the book, from the perspective of Helton‘s landmark contributions).- Biographical Note and List of Publications of J.W. Helton.- Bounded Analytic Interpolation and H-infinity Control.- Linear Matrix Inequalities and Matrix Conve-xity.- Optimization and Realization in the Free *-algebra.- Automatic Verification of Matrix In-equalities.- Non-commutative Algebraic Geomet-ry.- Non-Commutative Differential Geometry and Probability.- Modern Trends in Robust Control.- Challenges of Mathematical Biology.- Mathemati-cal Programming and Computer Science.

Fields of interestsGeneral Algebraic Systems; Control; Functions of a Complex Variable


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2012. XX, 300 p. (Operator Theory: Advances and Applications, Volume 222) Hardcover7 approx. $124.00ISBN 978-3-0348-0410-3

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A. Handwerk, Hamburg, Germany; H. Willems, Amsterdam, The Netherlands

Late Style – Yuri I. Manin Looking Back on a Life in MathematicsDVD-Video NTSC, 60 minutes

This documentary follows Yuri Ivanovich Manin’s stellar career in the ‘golden years’ of Moscow mathematics during the 1960s and 1970s. He was one of the key players in the development of algebraic geometry, at a time when a constellation of brilliant minds — of which Manin‘s was but one — were conducting outstanding mathemati-cal research. This happened under the strictures of a closed society that put severe restrictions on academics (despite diplomatic détente) right up to the fall of the Iron Curtain in 1989. Yuri Manin’s brilliance, and his unswerving integrity, helped him evade the pitfalls of Soviet-era academia. His full cooperation with this documentary allows the world a fascinating glimpse into an era of scientific enquiry that is as celebrated as it is underreported. It is about the exceptional life of a mathematician in unusual times, whose passion for his subject, as well as his breadth of thinking, allowed him to forge his own freedom.

Features 7 First biographic video on one of the leading mathematicians in the development of algebraic geometry 7 Tells about the “golden years of Moscow mathematics” in the Soviet Union in the sixties and seventies 7 Comprehensive informa-tion on one of the codirectors of the Max Planck Institute for Mathematics in Bonn, Germany

Fields of interestsHistory of Mathematical Sciences; Algebraic Geo-metry; Mathematics, general

Target groupsPopular/general

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DVD-Video NTSC, 55 minutes

2012. Approx. 15 p. DVD. (Springer VideoMATH) 7 $39.95ISBN 978-3-642-24482-7

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D. Hernández-Hernández, Center for Research in Mathematics, Guanajuato, Mexico; A. Minjárez-Sosa, University of Sonora, Hermosillo, Mexico (Eds.)

Optimization, Control, and Applications of Stochastic SystemsIn Honor of Onésimo Hernández-Lerma

Contents 1 On the Policy Iteration Algorithm for Non-de-generate Controlled Diffusions under the Ergodic Criterion.- 2 Discrete-Time Inventory Problems with Lead Time and .- 3 Sample-Path Optimality in Average Markov Decision Chains.- 4 Appro-ximation of Infinite Horizon Discounted Cost Markov.- 5 Reduction of Discounted Continuous-Time MDPs with Unbounded.- 6 Continuous-Time Controlled Jump Markov Processes on the Finite.- 7 Existence and Uniqueness of Solutions of SPDEs in Infinite Dimensions.- 8 A Constrai-ned Optimization Problem with Applications to Constrained.- 9 Optimal Execution of Derivatives, a Taylor Expansion Approach.- 10 A Survey of Some Model-Based Methods for Global Opti-mization.- 11 Constrained Optimality for First Passage Criteria in Semi-Markov.- 12 Infinite-Horizon Optimal Control Problems for Hybrid Switching.- 13 Fluid Approximations to Markov Decision Processes with Local.- 14 Minimizing Ruin Probabilities by Reinsurance and Investment: a Markovian Decision Approach.- 15 Estimation of the Optimality Deviation in Discounted Semi-Markov.- 16 Discrete Time Approximations of Continuous Time Finite Horizon.- 17 A Direct Approach to the Solution of Optimal Multiple-Stopping.- 18 On the Regularity Property of Semi-Markov Processes with Borel State Spaces.

Fields of interestsSystems Theory, Control; Game Theory, Econo-mics, Social and Behav. Sciences; Appl.Mathema-tics/Computational Methods of Engineering


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2012. XXXIV, 300 p. 7 illus., 6 in color. (Systems & Control: Foundations & Applications) Hardcover7 approx. $129.00ISBN 978-0-8176-8336-8

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B. Jacob, University of Wuppertal, Germany; H. J. Zwart, University of Twente, Enschede, The Netherlands

Linear Port-Hamiltonian Systems on Infinite-dimensional SpacesThis book provides a self-contained introduction to the theory of infinite-dimensional systems the-ory and its applications to port-Hamiltonian sys-tems. The textbook starts with elementary known results, then progresses smoothly to advanced topics in current research. Many physical systems can be formulated using a Hamiltonian frame-work, leading to models described by ordinary or partial differential equations.

Features 7 Starts with elementary known results and progresses to advanced topics of current research 7 Introductory textbook for a course on infinite dimensional linear systems 7 Lecture notes include many worked-out examples and exercises 7 First textbook on infinite-dimensio-nal port-Hamiltonian systems

Contents 1 Introduction.- 2 State Space Representation.-3 Controllability of Finite-Dimensional Systems.- 4 Stabilizability of Finite-Dimensional Systems.- 5 Strongly Continuous Semigroups.- 6 Contraction and Unitary Semigroups.- 7 Homogeneous Port-Hamiltonian Systems.- 8 Stability.- 9 Stability of Port-Hamiltonian Systems.- 10 Inhomogeneous Abstract Differential Equations and Stabilizati-on.- 11 Boundary Control Systems.- 12 Transfer Functions.- 13 Well-posedness.- A Integration and Hardy spaces.- Bibliography.- Index.

Fields of interestsSystems Theory, Control; Dynamical Systems and Ergodic Theory; Operator Theory


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2012. XII, 218 p. (Operator Theory: Advances and Applications / Linear Operators and Linear Systems, Volume 223) Hardcover7 approx. $69.95ISBN 978-3-0348-0398-4

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A. J. King, IBM Research, Yorktown Heights, NY, USA; S. W. Wallace, Lancaster University, Lancaster, UK

Modeling with Stochastic ProgrammingWhile there are several texts on how to solve and analyze stochastic programs, this is the first text to address basic questions about how to model uncertainty, and how to reformulate a determinis-tic model so that it can be analyzed in a stochastic setting. This text would be suitable as a stand-alo-ne or supplement for a second course in OR/MS or in optimization-oriented engineering discipli-nes where the instructor wants to explain where models come from and what the fundamental issues are. The book is easy-to-read, highly illust-rated with lots of examples and discussions. It will be suitable for graduate students and researchers working in operations research, mathematics, engineering and related departments where there is interest in learning how to model uncertainty. Alan King is a Research Staff Member at IBM‘s Thomas J. Watson Research Center in New York.

Features 7 The first and only book discussing how to mo-del stochastic programs 7 Mostly non-technical and focuses on the concepts 7 Written by two of the key international researchers

Contents Uncertainty in Optimization.-Modeling Feasibility and Dynamics.-Modeling the Objective Function.- Scenario tree generation, With Michal Kaut.-Service network design, With Arnt-Gunnar Lium and Teodor Gabriel Crainic.- A multi-dimensional newsboy problem with substitution, With Hajnal-ka Vaagen.- Stochastic Discount Factors.- Long Lead Time Production, With Aliza Heching.- Re-ferences.- Index<

Fields of interestsProbability Theory and Stochastic Processes; Ope-ration Research/Decision Theory; Optimization


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Due May 2012

2012. X, 199 p. (Springer Series in Operations Research and Financial Engineering) Hardcover7 $69.95ISBN 978-0-387-87816-4

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A. Knoebel, Albuquerque, NM, USA

Sheaves of Algebras over Boolean SpacesSheaves of Algebras over Boolean Spaces com-prehensively covers sheaf theory as applied to universal algebra. The text presents intuitive ideas from topology such as the notion of metric space and the concept of central idempotent from ring theory. These lead to the abstract notions of complex and factor element, respectively. Factor elements are defined by identities, discovered for shells for the first time, explaining why central elements in rings and lattices have their particu-lar form. Categorical formulations of the many representations by sheaves begin with adjunctions and move to equivalences as the book progresses, generalizing Stone’s theorem for Boolean algebras. Half of the theorems provided in the text are new; the rest are presented in a coherent framework, starting with the most general, and proceeding to specific applications.

Features 7 Ties together ideas from universal algebra, to-pology, and category theory 7 About half of the theorems provided by the author in the book are new 7 Open problems and research areas are outlined for the reader 7 Includes a final chapter summarizing applications of sheaves in diverse fields not covered in the book

Contents Preface.- Introduction.- Algebra.- Tools.- Comple-xes and their Sheaves.- Boolean Subsemilattices.- Sheaves from Factor Congruences.- Shells.- Baer-Stone Shells.- Strict Shells.- Varieties Generated by Preprimal Algebras.- Return to General Algebras.- Further Examples Pointing to Future Research.- List of Symbols.- References.- Index.

Fields of interestsAlgebra; Topology; Category Theory, Homological Algebra


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2012. XII, 331 p. 63 illus. Hardcover7 $124.00ISBN 978-0-8176-4218-1

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B. Krötz, Leibniz Universität Hannover, Germany; O. Offen, Technion-Israel Institute of Technology, Haifa, Israel; E. Sayag, Ben-Gurion University of the Negev, Be‘er Sheva, Israel (Eds.)

Representation Theory, Complex Analysis, and Integral GeometryFeatures 7 Provides a special mix of survey articles and re-search papers by leading experts in their respective fields 7 Wide variety of topics covered 7 Ac-cessible to graduate students 7 Introduction to current research

Contents Preface.- On Function Spaces on Symmetric Spaces.- A Relation Involving Rankin–Selberg L-Functions of Cusp Forms and Maass Forms.- Orthogonal Period of a Gl3(Z) Eisenstein Series.- Regular Orbits of Symmetric Subgroups on Partial Flag Varieties.- Helgason‘s Conjecture in Complex Analytical Interior.- Lectures on Lie Algebras.- Stein–Sahi Complementary Series and Their Degenerations.- The Special Symplectic Structure of Binary Cubics.- On the Restriction of Represen-tations of Sl(2;C) to Sl(2,R).- Asymptotics of Sphe-rical Functions for Large Rank: An Introduction.

Fields of interestsGroup Theory and Generalizations; Topological Groups, Lie Groups; Analysis


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2012. X, 275 p. 23 illus. Hardcover7 $124.00ISBN 978-0-8176-4816-9

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M. Ossendrijver, University of Tübingen, Germany

Babylonian Mathematical Astronomy: Procedure TextsThis book contains new translations and a new analysis of the procedure texts of Babylonian mathematical astronomy, the earliest known form of mathematical astronomy of the ancient world. The translations are based on a modern approach incorporating recent insights from Assyriology and translation science. The work contains upda-ted and expanded interpretations of the astrono-mical algorithms and investigations of previously ignored linguistic, mathematical and other aspects of the procedure texts.

Features 7 Fully revised and expanded translation and analysis of the procedure texts of Babylonian mathematical astronomy 7 Babylonian mathe-matical astronomy is explained through simple concepts to increasingly complex concepts and algorithms 7 Incorporates a typological analysis of all astronomical procedures 7 Includes a glos-sary of Babylonian technical astronomical terms, many of which are not adequately explained in the available dictionaries 7 Includes over 100 photos of cuneiform tablets dating from 350-50 BCE 7 Incorporates recent insights from Assy-riology and translation science 7 Contains up-dated and expanded astronomical interpretations and investigations that have previously ignored in linguistic, mathematical and other aspects

Contents Preface.- Acknowledgements.- Abbreviations and symbols.- 1. Procedure texts.- 2. Mathematical concepts – from numbers to computational sys-tems.- 3. Planets.- 4. Moon.- 5. Critical editions.- Appendices.- Glossary.- Bibliography.- Indices.

Fields of interestsHistory of Mathematical Sciences; Astronomy, Observations and Techniques; History of Science


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2012. XXVI, 616 p. 209 illus., 123 in color. (Sources and Studies in the History of Mathematics and Physical Sciences) Hardcover7 approx. $149.00ISBN 978-1-4614-3781-9

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G. Palm, University of Ulm, Germany

Novelty, Information and SurpriseThe book offers a new approach to information theory that is more general then the classical approach by Shannon.

Features 7 Definition of useful new concepts: description, novelty, surprise, template 7 New viewpoint on information theory in relation to (natural) science 7 New method to analyse neuronal spike trains (burst surprise)

Contents Part I Surprise and Information of Descriptions: Prerequisites.- Improbability and Novelty of Descriptions.- Conditional Novelty and Informa-tion.- Part II Coding and Information Transmissi-on: On Guessing and Coding.- Information Trans-mission.- Part III Information Rate and Channel Capacity: Stationary Processes and Information Rate.- Channel Capacity.- Shannon‘s Theorem.- Part IV Repertoires and Covers: Repertoires and Descriptions.- Novelty, Information and Surprise of Repertoires.- Conditioning, Mutual Informa-tion and Information Gain.- Part V Information, Novelty and Surprise in Science: Information, No-velty and Surprise in Brain Theory.- Surprise from Repetitions and Combination of Surprises.- Entro-py in Physics.- Part VI Generalized Information Theory: Order- and Lattice-Structures.- Three Orderings on Repertoires.- Information Theory on Lattices of Covers.- Appendices: A. Fuzzy Repertoires and Descriptions.- A.1 Basic Defi-nitions.- A.2 Definition and Properties of Fuzzy Repertoires.- Glossary.- Bibliography.- Index.

Fields of interestsInformation and Communication, Circuits; Arti-ficial Intelligence (incl. Robotics); Order, Lattices, Ordered Algebraic Structures


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2012. Approx. 300 p. 30 illus. Hardcover7 approx. $129.00ISBN 978-3-642-29074-9

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P. M. Pardalos, University of Florida, Gainesville, FL, USA; T. M. Rassias, National Technical University, Athens, Greece (Eds.)

Essays in Mathematics and Its ApplicationsIn Honor of Stephen Smale´s 80th Birthday

Features 7 Assembles contributions from eminent scientists covering the research fields of Stephen Smale 7 Honnors the lifetime acchievements of “Fields Medal” and “Wolf Prize” winner Stephen Smale 7 Provides insights into unsolved prob-lems of theoretical mathematics

Contents Preface.- Transitivity and Topological Mixing for C1 Diffeomorphisms.- Recent Results on the Size of Critical Sets.- The FoxLi operator as a Test and a Spur for WienerHopf Theory.- Kahler Metrics with Cone Singularities along a Divisor.- The Space of Framed functions is Contractible.- Quan-tum Gravity via Manifold Positivity.- Parabolic Explosions in Families of Complex Polynomials.- Super Stable Kahlerian Horseshoe?.- A Smooth Multivariate Interpolation Algorithm.- Bifurca-tions of Solutions of the 2-Dimensional Navier-Stokes System.- Arnold Diffusion by Variational Methods.- Turning Washington‘s Heuristics in Favor of Vandiver‘s Conjecture.- Schwartzman Cycles and Ergodic Solenoids.- An Additive Func-tional equation in Orthogonality Spaces.- Exotic Heat PDEs.II.- Topology at a Scale in Metric Spaces.- Functions and Associated Series and Integrals.- Gyrations: The Missing Link Between Classical Mechanics with its Underlying Euclide-an Geometry and Relativistic Mechanics with its Underlying Hyperbolic Geometry.

Fields of interestsApplications of Mathematics; Operation Research/Decision Theory; Optimization


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2012. VI, 350 p. Hardcover7 approx. $139.00ISBN 978-3-642-28820-3

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35

P. M. Pardalos, P. G. Georgiev, University of Florida, Gainesville, FL, USA; H. M. Srivastava, University of Victoria, BC, Canada (Eds.)

Nonlinear AnalysisStability, Approximation, and Inequalities

Contents Preface.- 1. Bounds of Jensen’s Type Inequality and Eigenvalues of Sturm-Liouville System (S. Abra-movich).- 2. Quadratic Operators and Quadratic Functional Equation (M. Adam, S. Czerwik).- 3. On the Regions Containing All the Zeros of a Polynomial (C. Affane-Aji, N.K. Govil).- 4. Some Remarks on the Group of Isometries of a Metric Space (D. Andrica, V. Bulgarean).- 5. Rationality of the Moduli Space of Stable Pairs over a Com-plex Curve (I. Biswas, M. Logares, V. Muñoz).- 6. Generalized p-valent Janowski Close-to-Convex Functions and Their Applications to the Harmonic Mappings (D. Breaz, Y. Polatoglu, N. Breaz).- 7. Remarks on Stability of the Linear Functional Equation in Single Variable (J. Brzdęk, D. Popa, B. Xu).- 8. On a Curious q-hypergeometric Identity (M. J. Cantero, A. Iserles).- 9. Jensen and Quad-ratic Functional Equations on Semigroups (E.A. Chávez, P.K. Sahoo).- 10. On Bohr’s Inequalities (W.-S. Cheung, G. Leng, J. Pečarić, D. Zhao).- 11. Orlicz Norm Inequalities for Conjugate Harmonic Forms (S. Ding, Y. Xing).- 12. A Survey on Jessen’s Type Inequalities for Positive Functionals (S.S. Dragomir).- 13. On Approximate Bi-quadratic Bi-homomorphisms and Bi-quadratic Bi-derivations in C*-ternary algebras and quasi-Banach algebras (A. Ebadian, N. Ghobadipour).- 14. Fixed points approach to the stability of the quadratic func-tional equation (E. Elhoucien, M. Youssef).- 15. Bohr’s Inequality Revisited (M. Fujii, M. S. Mosle-hian, J. Mićić).- 16. Hyers-Ulam-Rassias Stability of Orthogonal Additive Mappings (P. Găvruţa and L. Găvruţa). [...]

Fields of interestsOptimization; Approximations and Expansions; Systems Theory, Control


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2012. XXX, 770 p. 25 illus., 12 in color. (Springer Optimization and Its Applications, Volume 68) Hardcover7 $189.00ISBN 978-1-4614-3497-9

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P. Plotnikov, Lavrentyev Institute of Hydrodynamics, Novosibirsk, Russia; J. Sokolowski, Institut Elie Cartan, Vandoeuvre Lès Nancy, France

Compressible Navier-Stokes Equations. Theory and Shape OptimizationThe book presents the modern state of the art in the mathematical theory of compressible Navier-Stokes equations, with particular emphasis on the applications to aerodynamics. The topics covered include: modeling of compressible viscous flows; modern mathematical theory of nonhomoge-neous boundary value problems for viscous gas dynamics equations; applications to optimal shape design in aerodynamics; kinetic theory for equa-tions with oscillating data; new approach to the boundary value problems for transport equations.

Features 7 First monograph on the mathematical theory of shape optimization for compressible Navier-Stokes equations 7 Clear explanation of the state-of-the-art developments in a mathematical language that will attract mathematicians to open questions in this important field 7 New concepts and results are presented

Contents Preface.- 1 Preliminaries.- 2 Physical back-grounds.- 3 Problem formulation.- 4 Basic state-ments.- 5 Non stationary case. Existence theory.- 6 Pressure estimate.- 7 Kinetic theory. Fast density oscillations.-8 Shape sensitivity analysis of non stationary problems.- 9 Shape sensitivity analysis of stationary problems.- 10 Boundary value problems for transport equations.- 11 Appendix.- Bibliography.

Fields of interestsPartial Differential Equations; Mathematical Physics


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2012. X, 380 p. (Monografie Matematyczne, Volume 73) Hardcover7 approx. $129.00ISBN 978-3-0348-0366-3

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S. Ponnusamy, Indian Institute of Technology Madras, India

Foundations of Mathematical AnalysisFeatures 7 “Questions and Exercises" are provided at the end of each section, covering a broad spectrum of content and various levels of difficulty, and hints are provided for selected exercises 7 Some of the exercises are routine in nature while others are interesting, instructive, and challenging 7 Co-vers a broad spectrum of content with a range of difficulty that would enable students to learn techniques and standard analysis tools 7 Intro-duces convergence, continuity, differentiability, the Riemann integral, power series, uniform con-vergence of sequences and series of functions, and so on Examines various important applications throughout the book and uses MATHEMATICA and MAPLE to demonstrate various uses of the Fourier series

Contents Real Number System.- Sequences: Convergence and Divergence.- Limits, Continuity, and Diffe-rentiability.- Applications of Differentiability.- Series: Convergence and Divergence.- Definite and Indefinite Integrals.- Improper Integrals and Applications of Riemann Integrals.- Power Series.- Uniform Convergence of Sequences of Functions.- Fourier Series and Applications.- Functions of Bounded Variation and Riemann-Stieltjes Integrals.- References.- Index of Special Notations.- Hints for Selected Questions and Exercises.- Index.

Fields of interestsAnalysis; Applications of Mathematics; Approxi-mations and Expansions

Target groupsUpper undergraduate

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2012. XV, 570 p. 205 illus. Hardcover7 $84.95ISBN 978-0-8176-8291-0

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36

S. Roman, Irvine, CA, USA

Introduction to the Mathematics of FinanceArbitrage and Option Pricing

The Mathematics of Finance has been a hot topic ever since the discovery of the Black-Scholes opti-on pricing formulas in 1973. Unfortunately, there are very few undergraduate textbooks in this area.

Features 7 New edition fully rewritten, re-organized, and slimmed down to make the book flow more smoothly 7 Classroom-tested for the past five years since the first edition 7 Includes additional material on options and pricing nonattainable alternatives 7 Excludes material on the capital asset pricing model, and condenses the material on probability in order to make the book more accessible to its readers 7 Contains necessary background in financial matters for readers with little experience in finance

Contents Preface.- Notation Key and Greek Alphabet.- 0 Introduction.- Part 1 Options and Arbitrage.- 1 Background on Options.- 2 An Aperitif on Arbi-trage.- Part 2 Discrete-Time Pricing Models.- 3 Discrete Probability.- 4 Stochastic Processes, Filt-rations and Martingales.- 5 Discrete-Time Pricing Models.- 6 The Binomial Model.- 7 Pricing Nonat-tainable Alternatives in an Incomplete Market.- 8 Optimal Stopping and American Options.- Part 3 the Black-Scholes Option Pricing Formula.- 9 Continuous Probability.- 10 The Black-Scholes Option Pricing Formula.- Appendix A: Conve-xity and the Separation Theorem.- Appendix B: Closed, Convex Cones.- Selected Solutions.- Refe-rences.- Index.

Fields of interestsQuantitative Finance; Probability Theory and Sto-chastic Processes; Finance/Investment/Banking


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Due May 2012

2nd ed. 2012. XVI, 288 p. 51 illus. (Undergraduate Texts in Mathematics) Hardcover7 $59.95ISBN 978-1-4614-3581-5

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L. A. Sakhnovich, Springer Basel, Switzerland

Levy Processes, Integral Equations, Statistical Physics: Connections and InteractionsIn a number of famous works, M. Kac showed that various methods of probability theory can be fruitfully applied to important problems of analysis. The interconnection between probability and analysis also plays a central role in the present book. However, our approach is mainly based on the application of analysis methods (the method of operator identities, integral equations theory, dual systems, integrable equations) to probability theory (Levy processes, M.

Feature 7 Investigation of the interconnection between probability problems and analysis problems Consideration of the statistical problems using the game theory ideas Construction of special ex-amples instead of well-known existence theorems Generalization and investigation of the notion of integrable operators

Contents Introduction.- 1 Levy processes.- 2 The prin-ciple of imperceptibility of the boundary.- 3 Approximation of positive functions.- 4 Optimal prediction and matched filtering.- 5 Effective con-struction of a class of non-factorable operators.- 6 Comparison of thermodynamic characteristics.- 7 Dual canonical systems and dual matrix string equations.- 8 Integrable operators and Canonical Differential Systems.- 9 The game between energy and entropy.- 10 Inhomogeneous Boltzmann equations.- 11 Operator Bezoutiant and concrete examples.- Comments.- Bibliography.- Glossary.- Index.

Fields of interestsIntegral Equations; Combinatorics; Functional Analysis


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2012. X, 240 p. (Operator Theory: Advances and Applications, Volume 225) Hardcover7 approx. $109.00ISBN 978-3-0348-0355-7

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F. Sauvigny, University of Cottbus, Germany

Partial Differential Equations 1Foundations and Integral Representations

This two-volume textbook provides comprehen-sive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables. In this first volume, special emphasis is placed on geometric and complex variable methods involving integral representations. The following topics are treated: • integration and differentiation on manifolds • foundations of functional analysis • Brouwer‘s mapping degree • generalized analytic functions • potential theory and spherical harmonics • linear partial differential equations This new second edition of this volume has been thoroughly revised and a new section on the boundary behavior of Cauchy’s integral has been added. The second vo-lume will present functional analytic methods and applications to problems in differential geometry. This textbook will be of particular use to graduate and postgraduate students interested in this field and will be of interest to advanced undergraduate students.

Features 7 Provides a complete and thorough introduc-tion into the theory of linear and nonlinear partial differential equations 7 Presents interesting applications to physics and differential geomet-ry 7 Includes the basic methods from linear and nonlinear functional analysis

Contents Differentiation and Integration on Manifolds.- Foundations of Functional Analysis.- Brouwer’s Degree of Mapping.- Generalized Analytic Func-tions.- Potential Theory and Spherical Harmo-nics.- Linear Partial Differential Equations in Rn.

Fields of interestsPartial Differential Equations; Mathematical Methods in Physics


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2nd ed. 2012. Approx. 445 p. (Universitext) Softcover7 approx. $69.95ISBN 978-1-4471-2980-6

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37

F. Sauvigny, University of Cottbus, Germany

Partial Differential Equations 2Functional Analytic Methods

This two-volume textbook provides comprehensi-ve coverage of partial differential equations, span-ning elliptic, parabolic, and hyperbolic types in two and several variables. In this second volume, special emphasis is placed on functional analytic methods and applications to differential geometry. The following topics are treated: solvability of ope-rator equations in Banach spaces linear operators in Hilbert spaces and spectral theory Schauder‘s theory of linear elliptic differential equations weak solutions of differential equations nonlinear par-tial differential equations and characteristicsnon-linear elliptic systemsboundary value problems from differential geometryThis new second editi-on of this volume has been thoroughly revised and a new chapter on boundary value problems from differential geometry has been added. In the first volume, partial differential equations by integral representations are treated in a classical way.

Features 7 Provides a complete and thorough introduc-tion into the theory of linear and nonlinear partial differential equations 7 Presents interesting applications to physics and differential geomet-ry 7 Includes the basic methods from linear and nonlinear functional analysis

Contents Operators in Banach Spaces.- Linear Operators in Hilbert Spaces.- Linear Elliptic Differential Equations.- Weak Solutions of Elliptic Differen-tial Equations.- Nonlinear Partial Differential Equations.- Nonlinear Elliptic Systems.- Boundary Value Problems from Differential Geometry.

Fields of interestsPartial Differential Equations; Functional Analy-sis; Mathematical Methods in Physics


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2nd ed. 2012. Approx. 450 p. (Universitext) Softcover7 approx. $69.95ISBN 978-1-4471-2983-7

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H. Schaettler, Washington University, St. Louis, MO, USA; U. Ledzewicz, Southern Illinois University, Edwardsville, IL, USA

Geometric Optimal ControlTheory, Methods and Examples

This book gives a comprehensive treatment of the fundamental necessary and sufficient conditions for optimality for finite-dimensional, determinis-tic, optimal control problems.

Features 7 Comprehensive presentation of an up-to-date geometric approach to optimal control, both necessary and sufficient conditions, which has not been done in a book form before 7 Rigorous presentation, written in a easy tutorial style acces-sible to non-experts and advanced undergraduate and graduate students 7 Palette of fully and in detail worked out, well illustrated, nontrivial examples which are only available in the research literature

Contents The Calculus of Variations: A Historical Perspec-tive.- The Pontryagin Maximum Principle: From Necessary Conditions to the Construction of an Optimal Solution.- Reachable Sets of Linear Time-Invariant Systems: From Convex Sets to the Bang-Bang Theorem.- The High-Order Maximum Principle: From Approximations of Reachable Sets to High-Order Necessary Conditions for Optimality.- The Method of Characteristics: A Geometric Approach to Sufficient Conditions for a Local Minimum.- Synthesis of Optimal Controlled Trajectories: FromLocal to Global Solutions.- Control-Affine Systems in Low Dimensions: From Small-Time Reachable Sets to Time-Optimal Syntheses.- References.- Index.

Fields of interestsCalculus of Variations and Optimal Control; Opti-mization; Control; Differential Geometry


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Due July 2012

2012. X, 620 p. 100 illus., 75 in color. (Interdisciplinary Applied Mathematics, Volume 38) Hardcover7 approx. $84.95ISBN 978-1-4614-3833-5

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G. Schay, University of Massachusetts, Boston, MA, USA

A Concise Introduction to Linear AlgebraBuilding on the author‘s previous edition on the subject (Introduction to Linear Algebra, Jones & Bartlett, 1996), this book offers a refreshin-gly concise text suitable for a standard course in linear algebra, presenting a carefully selected array of essential topics that can be thoroughly covered in a single semester. Although the exposition generally falls in line with the material recom-mended by the Linear Algebra Curriculum Study Group, it notably deviates in providing an early emphasis on the geometric foundations of linear algebra. This gives students a more intuitive understanding of the subject and enables an easier grasp of more abstract concepts covered later in the course.

Features 7 A uniquely concise, focused, and rigorous stu-dy of linear algebra for beginners 7 Integrates a variety of applications without distracting from the elegance and interconnectedness of theory 7 Offers a wealth of exercises, many using MATLAB, and a complete solutions ma-nual 7 Provides many precise illustrations to enhance clarity 7 Notation integrates seamlessly with future courses students can expect to take

Contents Preface.- 1 Analytic Geometry of Euclidean Spaces.- 2 Systems of Linear Equations, Matri-ces.- 3 Vector Spaces and Subspaces.- 4 Linear Transformations.- 5 Orthogonal Projections and Bases.- 6 Determinants.- 7 Eigenvalues and Eigen-vectors.- 8 Numerical Methods.- 9 Appendices.

Fields of interestsLinear and Multilinear Algebras, Matrix Theory; General Algebraic Systems; Mathematical Physics


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Due April 2012

2012. XII, 326 p. 50 illus. Hardcover7 $59.95ISBN 978-0-8176-8324-5

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38

A. N. Shiryaev, Steklov Mathematical Institute, Moscow, Russia

Problems in Probability

Translated by: A. Lyasoff, Boston University, MA, USA

For the first two editions of the book Probability (GTM 95), each chapter included a comprehensive and diverse set of relevant exercises. While the work on the third edition was still in progress, it was decided that it would be more appropriate to publish a separate book that would comprise all of the exercises from previous editions, in addition to many new exercises. Most of the material in this book consists of exercises created by Shiry-aev, collected and compiled over the course of many years while working on many interesting topics. Many of the exercises resulted from discus-sions that took place during special seminars for graduate and undergraduate students. Many of the exercises included in the book contain helpful hints and other relevant information.

Features 7 Provides more than 1500 exercises and pro-blems for professors using GTM 95 as a course text 7 While book can be used along with GTM 95, it is self-contained 7 Cover traditional areas of probability theory, as well as recent develope-ments 7 Author is a well-known expert in the field, and an experienced writer

Contents Preface.- 1. Elementary Probability Theory.- 2. Mathematical Foundations of Probability Theo-ry.- 3. Convergence of Probability Measures.- 4. Independent Random Variables.- 5. Stationary Random Sequences in Strict Sense.- 6. Stationary Random Sequences in Broad Sense.- 7. Martinga-les.- 8. Markov Chains.- Appendix.- References.

Fields of interestsProbability Theory and Stochastic Processes; Combinatorics


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Due June 2012

Original Russian edition published by MCCME, Moscow, 2006

2012. XII, 408 p. Hardcover7 $79.95ISBN 978-1-4614-3687-4

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A. M. Sonnet, University of Strathclyde, Glasgow, UK; E. G. Virga, Università di Pavia, Italy

Dissipative Ordered FluidsTheories for Liquid Crystals

This is a book on the dissipative dynamics of orde-red fluids, with a particular focus on liquid crys-tals. It covers a whole range of different theories, mainly concerned with nematic liquid crystals in both their chiral and nonchiral variants. The authors begin by giving a detailed account of the molecular origins of orientational order in fluids. They then go on to develop a general framework in which continuum theories for ordered fluids can be phrased. Within this unified setting, they cover both well-established classical theories and new ones with aspects that are not yet completely settled. The book treats a wide range of hydrody-namic theories for liquid crystals, from the ori-ginal 1960s works by Ericksen and Leslie to new, fast-developing ideas of liquid crystal science. The final chapter is devoted to nematoacoustics and its applications.

Features 7 A unified treatment of microscopic and macro-scopic mathematical models for biaxial nema-tics 7 Offers a new topological theory of defects for complex materials 7 Embraces equilibrium and flow phenomena, paying special attention to both static and dynamic instabilities

Contents Molecular Theories.- Dynamics of Dissipative Flu-ids.- Director Theories.- Order Tensor Theories.- Nematoacoustics.- Notation and Basic Concepts.- References.- Index.

Fields of interestsMathematical Physics; Mechanics; Classical Con-tinuum Physics


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2012. IX, 325 p. 16 illus. Hardcover7 $124.00ISBN 978-0-387-87814-0

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P. Xidonas, G. Mavrotas, National Technical University of Athens, Greece; T. Krintas, Attica Wealth Management, Athens, Greece; J. Psarras, National Technical University of Athens, Greece; C. Zopounidis, Technical University of Crete, Chania, Greece

Multicriteria Portfolio ManagementThe primary purpose in this book is to present an integrated and innovative methodological ap-proach for the construction and selection of equity portfolios. The approach takes into account the inherent multidimensional nature of the problem, while allowing the decision makers to incorporate specified preferences in the decision processes. A fundamental principle of modern portfolio theory is that comparisons between portfolios are gene-rally made using two criteria; the expected return and portfolio variance. According to most of the portfolio models derived from the stochastic do-minance approach, the group of portfolios open to comparisons is divided into two parts: the efficient portfolios, and the dominated.

Features 7 Presents a strong case for a multicriteria approach to portfolio construction and selec-tion 7 Develops an integrated and innovative methodological approach within the framework of multiple criteria decision making 7 Includes suggestions for an innovative methodological approach to traditional portfolio creation

Contents 1. Introduction.- 2. Multicritera Portfolio Manage-ment.- 3. Stock Selection.- 4. Portfolio Optimi-zation.- 5. Portfolio Performance Evaluation.- 6. Applied Portfolio Management.- 7. Conclusions. - References.

Fields of interestsQuantitative Finance; Optimization; Game Theo-ry, Economics, Social and Behav. Sciences


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2012. XIV, 127 p. 13 illus., 6 in color. (Springer Optimization and Its Applications, Volume 69) Hardcover7 $109.00ISBN 978-1-4614-3669-0

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39

K. Zhu, State University of New York, Albany, NY, USA

Analysis on Fock SpacesSeveral natural Lp spaces of analytic functions have been widely studied in the past few decades, including Hardy spaces, Bergman spaces, and Fock spaces. The terms “Hardy spaces” and “Bergman spaces” are by now standard and well established. But the term “Fock spaces” is a diffe-rent story. Numerous excellent books now exist on the subject of Hardy spaces. Several books about Bergman spaces, including some of the author’s, have also appeared in the past few decades. But there has been no book on the market concerning the Fock spaces. The purpose of this book is to fill that void, especially when many results in the subject are complete by now.

Features 7 Fills the gap in existing literature concer-ning the natural Lp spaces of analytic func-tions 7 First book on the market concerning Fock spaces, summarizing the most important results and techniques in one place, so that new comers, especially graduate students, have a con-venient reference to the subject 7 Features new and simpler proofs than the existing ones in the literature 7 Includes exercises of various levels at the end of every chapter 7 Contains an extensive bibliography

Contents Preface.- Chapter 1. Preliminaries.- Chapter 2. Fock Spaces.- Chapter 3. The Berezin Transform and BMO.- Chapter 4. Interpolating and Sampling Sequences.- Chapter 5. Zero Sets for Fock Spaces.- Chapter 6. Toeplitz Operators.- Chapter 7. Small Hankel Operators.- Chapter 8. Hankel Operators.- References.- Index.

Fields of interestsFunctions of a Complex Variable; Operator Theo-ry; Several Complex Variables and Analytic Spaces


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2012. X, 266 p. (Graduate Texts in Mathematics, Volume 263) Hardcover7 $69.95ISBN 978-1-4419-8800-3

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J. Awrejcewicz, Classical Mechanics Aeroelasticity ...static.springer.com/sgw/documents/1324837/application/pdf/news1204... · News 4/2012 Mathematics 31 D. W. Cunningham, Buffalo