Recreational Mathematics and Popular Science - April 2011

Contents

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General & Introductory Mathematics................3

Recreational Mathematics & Popular Science ..............................................10

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“This is one of the most amazingmath books for kids I have ever seen… Great colors, it’s wonderful, andyet because [Schwartz] knows themathematics, he very skillfully andsubtly embeds mathematical ideasinto the drawings.”

—Keith Devlin, NPR and Stanford University

“This delightful book is a result ofthe author’s desire to teach hisdaughters about primes and factor-ization. ... The whole thing is a lot offun. The book is well produced andnice to look at.”

—Fernando Q. Gouvea, MAA Reviews, March 2010

“This compact, innovative bookcounts to 100 using prime numbersrepresented as ‘monsters,’ each withidentifying characteristics … Eachprime number looks unique, whilecomposite numbers are representedby scenes involving their prime monsters … visualizing the roleseach monster plays may lead todeeper number sense. Ages 4-8.”

—Publishers Weekly, March 2010

With crisp, creative artwork and bright,engaging colors, this special counting bookvisually explores the concepts of factoringand the role of prime and composite num-bers. For each prime number, the authorassociates a pattern of dots and a monster.The playful and colorful monsters aredesigned to give readers an intuitive under-standing of the building blocks of numbersand the basics of multiplication. The intro-duction and appendices help instructorsanswer questions about factoring from ayoung audience. A welcome deviation fromstandard math texts, this unique teachingtool motivates readers to learn.

Catalog no. K007252010, 244 pp., Soft CoverISBN: 978-1-56881-578-7$24.95 / £15.99

You Can Counton MonstersThe First 100 Numbers andTheir CharactersRichard Evan SchwartzBrown University, Providence, Rhode Island, USA

http://www.crcpress.com/product/isbn/9781568815787

4 SAVE 15% when you order online at www.crcpress.com

General & Introductory Mathematics

Finite-DimensionalLinear AlgebraMark S. GockenbachMichigan TechnologicalUniversity, Houghton, USA

This text gives readers a strong theoreticalunderstanding of linear algebra. It offers manyillustrations of how linear algebra is usedthroughout mathematics, demonstrating itsvital role in such diverse areas as combina-torics, differential equations, optimization, andapproximation. The book focuses on linearequations, best approximation, and diagonal-ization. It also covers the Jordan canonicalform and singular value decomposition andintroduces numerical linear algebra and analy-sis in vector spaces.

Features

• Provides a thorough foundation for thestudy of advanced mathematics

• Explores various applications of linear alge-bra, including polynomial interpolation,graph and coding theory, linear and integerprogramming, linear ODEs, Lagrange multi-pliers, and much more

• Presents important concepts and methodsfrom numerical linear algebra

• Contains a range of exercises in each sec-tion, including some that can be solvedusing a computer package such as MATLAB®

• Incorporates mini-projects that encouragereaders to develop topics not covered in thetext

Contents

Some Problems Posed on Vector Spaces.Fields and Vector Spaces. Linear Operators.Determinants and Eigenvalues. The JordanCanonical Form. Orthogonality and BestApproximation. The Spectral Theory ofSymmetric Matrices. The Singular ValueDecomposition. Matrix Factorizations andNumerical Linear Algebra. Analysis in VectorSpaces. Appendices. Bibliography. Index.

Catalog no. K10803, 2010, 672 pp.ISBN: 978-1-4398-1563-2, $99.95 / £48.99

SolutionTechniques forElementaryPartialDifferentialEquationsSecond EditionChristian ConstandaUniversity of Tulsa, Oklahoma, USA

“… an interesting read. … Some of theworked-out examples cover not only the con-ventional topics of heat and wave problemsbut also applications to a wide variety offields, from stock markets to Brownianmotion. … The book is well written, concise,has adequate examples and can be used as atextbook for beginners to learn the techniquesof PDE solvers.”

—MAA Reviews, January 2011

“This concise, well-written book, whichincludes a profusion of worked examples andexercises, serves both as an excellent text inundergraduate and graduate learning and asa useful presentation of solution techniquesfor researchers and engineers interested inapplying partial differential equations to real-life problems.”—Barbara Zubik-Kowal, Boise State University,

Idaho, USA

“… this is quite simply the best book of itskind that I have seen thus far. … It is definite-ly a textbook that should be adopted.”

—From the Foreword by Peter Schiavone,University of Alberta, Edmonton, Canada

This popular text presents some of the most important and widely used methods forsolving PDEs. Along with a new chapter oncomplex variable methods, this editionincludes new sections on Cauchy–Euler equa-tions, Bessel functions, Legendre polynomials,spherical harmonics, applications of Fouriertransformations, and general hyperbolic equations. It also contains many new workedexamples and exercises.

Catalog no. K10569, 2010, 343 pp., Soft CoverISBN: 978-1-4398-1139-9, $69.95 / £24.99



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For more information and complete contents, visit www.crcpress.com

UnderstandingReal AnalysisPaul Zorn St. Olaf College, Northfield, Minnesota, USA

“This is a textbook designed to teach studentswho are new to analysis what it’s all about.… The path Zorn takes is based on severalvery reasonable principles. These includebuilding on calculus basics; focusing onmathematical proof, structure and language;staying with the basics; offering many examples and many solved exercises; andgradually increasing technical sophistication.… There are plenty of exercises. They tend tofollow a pattern where an exercise that is notcompletely straightforward is broken intomultiple parts to guide the student to a solu-tion.”

—Bill Satzer, MAA Reviews, June 2010

Suitable for a one-semester introduction toreal analysis, this text develops ideas alreadyfamiliar from elementary calculus in a rigorousmanner. It helps readers deeply understandbasic but crucial mathematical ideas and also helps them see how definitions, proofs, examples, and other forms of mathematical“apparatus” work together to create a unifiedtheory. A key feature of the book is the sub-stantial treatment of some foundational mate-rial, including general theory of functions, sets,cardinality, and basic proof techniques.

Contents

Preliminaries: Numbers, Sets, Proofs, andBounds. Sequences and Series. Limits andContinuity. Derivatives. Integrals. Solutions.


New!

Handbook ofMathematicalInductionTheory andApplicationsDavid S. GundersonUniversity of Manitoba,Winnipeg, Canada

“… unlike other treatments, this handbooktreats the subject seriously and is not just a‘collection of recipes’. It’s a book that willwork well with most math or computing science courses, on a subject that pertains tograph theory, point set topology, elementarynumber theory, linear algebra, analysis, prob-ability theory, geometry, group theory, andgame theory, among many other topics.”

—SciTech Book News, February 2011

“… the ostensibly narrow subject of mathe-matical induction is carefully and systemati-cally expounded, from its more elementaryaspects to some quite sophisticated uses of thetechnique. … any of us who regularly teachthe undergraduate course aimed at introduc-ing mathematics majors to methods of proofquite simply need to own this book. … a verywelcome addition to the literature …”

—MAA Reviews, December 2010

This comprehensive handbook presents hundreds of classical theorems and proofs that span many areas, including combina-torics, linear algebra, calculus, trigonometry,geometry, set theory, game theory, recursion,and algorithms. It derives many forms ofmathematical induction, such as infinitedescent and the axiom of choice, from basicprinciples. The book contains more than 750exercises—with complete solutions to at least 500.

Catalog no. C3649, January 2011, 921 pp.ISBN: 978-1-4200-9364-3, $109.95 / £69.99





New!

A Student’sGuide to theStudy, Practice,and Tools ofModernMathematicsDonald Bindner andMartin EricksonTruman State University, Kirksville, Missouri, USA

“A Student’s Guide provides a useful serviceby gathering into one place information thatstudents might otherwise be expected to learnby osmosis.”

—MAA Reviews, February 2011

This guide provides an accessible introductionto the world of mathematics. It offers tips onhow to study and write mathematics as well ashow to use various mathematical tools, fromLaTeX and Beamer to Mathematica® andMaple™ to MATLAB® and R. The text alsoincludes exercises and challenges to stimulatecreativity and improve problem solving abili-ties. The first section of the book covers issuespertaining to studying mathematics. The second section focuses on the use of mathe-matical tools for mathematical typesetting,generating data, finding patterns, and muchmore.

Features

• Explains how to write mathematics and howto give a mathematical presentation

• Offers a thorough introduction to the LaTeX typesetting system

• Explores the functions of computer algebra systems, including Mathematica, Maple,and Maxima

• Presents the computational and graphics capabilities of MATLAB

• Describes how to design web pages usingHTML

• Covers free resources, including Octave, R,and Linux

• Discusses how to use interactive geometry software, such as Geometer’s Sketchpad andGeoGebra

Catalog no. K12061, January 2011, 280 pp.Soft CoverISBN: 978-1-4398-4606-3, $39.95 / £25.99

New!

A ConciseHandbook ofMathematics,Physics, andEngineeringSciencesAndrei D. PolyaninRussian Academy ofSciences, Moscow

Alexei I. ChernoutsanGubkin Russian State University of Oil and Gas,Moscow

“Concise presentation, mindfulness of differing mathematical backgrounds, andemphasis on practical aspects contribute tothe usefulness of this single-volume reference.Many sections are self contained; subsectionsare arranged in increasing order of complexi-ty; and a bibliography is included for eachchapter. …”


With numerous examples throughout, thishandbook takes a practical approach to thebasic notions, formulas, equations, problems,theorems, methods, and laws that most fre-quently occur in scientific and engineeringapplications and university education. Theauthors pay special attention to issues thatmany engineers and students find difficult tounderstand and avoid special terminologywhenever possible. Each chapter includes a listof literature sources containing more detailedinformation about topics of interest.

Features

• Covers important formulas, equations, prob-lems, theorems, methods, and laws inmathematics, physics, applied sciences, andengineering

• Includes numerous examples, figures,graphs, and diagrams

• Presents many results in tabular form

• Avoids special terminology and excessively complicated details whenever possible

• Offers an extensive table of contents, adetailed index, special font highlighting inthe text, and cross-references that helpreaders find the desired information

Catalog no. K10319, January 2011, 1125 pp.ISBN: 978-1-4398-0639-5, $99.95 / £63.99



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New!

A ConciseIntroduction to PureMathematicsThird EditionMartin LiebeckImperial College, London, UK

“Now in an updated and expanded third edition, A Concise Introduction to PureMathematics provides an informed andinformative presentation into a representativeselection of fundamental ideas in mathemat-ics … . Of special note is the inclusion of solu-tions to all of the odd-numbered exercises. Anideal, accessible, elegant, student-friendly,and highly recommended choice for class-room textbooks for high school and collegelevel mathematics curriculums, A ConciseIntroduction to Pure Mathematics is furtherenhanced with a selective bibliography, anindex of symbols, and a comprehensiveindex.”

—Library Bookwatch, December 2010

“… When I used it for a course, students couldnot get enough, and I have been recommend-ing independent study from it to studentswishing to take a core course in analysis without having taken the prerequisite course.The material is very well chosen andarranged, and teaching from Liebeck’s bookhas in many different ways been among mymost rewarding teaching experiences duringthe last decades.”

—Boris Hasselblatt, Tufts University, Medford, Massachusetts, USA

“… This book will give a student the under-standing to go on in further courses inabstract algebra and analysis. … Liebeck’swriting style is clear and easy to read. …”

—From the Foreword by Robert Guralnick,University of Southern California,

Los Angeles, USA


New!

A MathematicalLook at PoliticsE. Arthur Robinson, Jr.and Daniel H. UllmanGeorge WashingtonUniversity, Washington, D.C., USA

What Ralph Nader’s spoiler role in the 2000presidential election tells us about theAmerican political system. Why Montana wentto court to switch the 1990 apportionment toDean’s method. How the United States tried touse game theory to win the Cold War, andwhy it didn’t work. When students realize thatmathematical thinking can address these sortsof pressing concerns of the political world itnaturally sparks their interest in the underlyingmathematics.

A Mathematical Look at Politics is an alter-native to the usual mathematics texts forquantitative reasoning courses. It applies thepower of mathematical thinking to problemsin politics and public policy. Concepts are pre-cisely defined. Hypotheses are laid out.Propositions, lemmas, theorems, and corollar-ies are stated and proved. Counterexamplesare offered to refute conjectures. Readers areexpected not only to make computations butalso to state results, prove them, and drawconclusions about specific examples.

Tying the liberal arts classroom to real-worldmathematical applications, this text is moredeeply engaging than a traditional generaleducation book that surveys the mathematicallandscape. It instills a fondness for mathemat-ics in a population not always convinced thatmathematics is relevant to them.






New!

Mathematicsfor theEnvironmentMartin WalterUniversity of Colorado,Boulder, USA

Mathematics for the Environment showshow to employ simple mathematical tools,such as arithmetic, to uncover fundamentalconflicts between the logic of human civiliza-tion and the logic of Nature. These tools canthen be used to understand and effectivelydeal with economic, environmental, and socialissues. With elementary mathematics, thebook seeks answers to a host of real-life questions, including:

• How safe is our food and will it be afford-able in the future?

• What are the simple lessons to be learnedfrom the economic meltdown of2008–2009?

• Is global climate change happening?

• Were some humans really doing seriousmathematical thinking 50,000 years ago?

• What does the second law of thermody-namics have to do with economics?

• How can identity theft be prevented?

• What does a mathematical proof prove?

A truly interdisciplinary, concrete study ofmathematics, this classroom-tested text dis-cusses the importance of certain mathematicalprinciples and concepts, such as fuzzy logic,feedback, deductive systems, fractions, andlogarithms, in various areas other than puremathematics, including epidemics, DNA computing, pollution, solar energy, and medialiteracy. It teaches students how to makeinformed choices using fundamental mathe-matical tools, encouraging them to find solutions to critical real-world problems.


Introduction toMathematicalLogicFifth EditionElliott MendelsonQueens College, Flushing, New York, USA

“ … This book rightfully belongs in the small,elite set of superb books that every computerscience graduate, graduate student, scientist,and teacher should be familiar with.”

—Computing Reviews, May 2010

“… There are many fine books on mathemat-ical logic, but Mendelson’s textbook remainsa sure choice for a first course for its clearexplanations and organization: definitions,examples and results fit together in a har-monic way, making the book a pleasure toread. The book is especially suitable for self-study, with a wealth of exercises to test thereader’s understanding.”

—MAA Reviews, December 2009

Retaining all the key features of its predeces-sors, this fifth edition of a long-established,bestselling text explores the principal topics ofmathematical logic. It includes a new sectioncovering basic ideas and results about non-standard models of number theory, a secondappendix that introduces modal propositionallogic, an expanded bibliography, and addi-tional exercises and selected answers. This edition continues to cover propositional logic,first-order logic, first-order number theory,axiomatic set theory, and the theory of com-putability. It also discusses the major results ofGödel, Church, Kleene, Rosser, and Turing.

Catalog no. C8768, 2010, 469 pp.ISBN: 978-1-58488-876-5, $89.95 / £39.99



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Introduction toMathematicalProofsA TransitionCharles E. Roberts, Jr.Indiana State University,Terre Haute, USA

This accessible book teaches how to reasonlogically, read proofs critically, and write validmathematical proofs. It facilitates a smoothtransition from courses designed to developcomputational skills and problem solving abilities to courses that emphasize theoremproving. The text proves many theorems fromdifferent areas in mathematics, provides athorough presentation of logic by includingboth formal and informal proofs, and developsintegers from natural numbers, rational num-bers from integers, and real numbers fromrational numbers.

Catalog no. C6955, 2009, 433 pp.ISBN: 978-1-4200-6955-6, $92.95 / £58.99

OrdinaryDifferentialEquationsApplications,Models, andComputingCharles E. Roberts, Jr.Indiana State University,Terre Haute, USA

“Roberts gives a clear, detailed introductionto ordinary differential equations for studentswho have completed the full calculussequence. … the book’s exercises and examples … are independent of any particu-lar software—a very nice feature. Roberts provides a good balance between theoreticaland applied material. … The work is veryreadable and offers instructors much materialto work with in their courses. Summing Up:Recommended.”

—CHOICE, December 2010

Catalog no. K11006, 2010, 600 pp., ISBN:978-1-4398-1908-1, $99.95 / £48.99

Measured TonesThe Interplay ofPhysics and Music,Third EditionIan JohnstonUniversity of Sydney, NewSouth Wales, Australia

“… Ian Johnston has managed to appeal to aphysicist with an interest in music, to a musician with an interest in physics or even ageneral reader who is merely interested. … Idevoured the book from cover to cover andthought overall that it was a wonderful read.… It is now a treasured part of my personallibrary.”

—Contemporary Physics, Vol. 51, Issue 6, 2010

Catalog no. 93479, 2009, 454 pp.ISBN: 978-1-4200-9347-6, $61.95 / £39.99

Calculus LiteThird EditionFrank Morgan

Breaking the mold of heavyweight calculusbooks, this text presents a straightforwardintroduction to calculus. The author uses anintuitive approach to explain real-world problems and then develops a rigorous mathematical treatment for their solution. Heintroduces standard preliminary topics, suchas trigonometry and limits, by using them incontext. The book is ideal as a tutorial for self-study and exam preparation as well as atextbook for beginning courses at major universities and colleges.

Catalog no. K13038, 2001, 320 pp.Soft CoverISBN: 978-1-56881-157-4, $59.95 / £38.99






Recreational Mathematics & Popular Science

New!

Crafting byConceptsFiber Arts andMathematicsEdited by

sarah-marie belcastroCarolyn YackelMercer University, Macon, Georgia, USA

From the editors of the popular MakingMathematics with Needlework, this book pres-ents projects that highlight the relationshipbetween types of needlework and mathemat-ics. Readers can appreciate the connectionsbetween doing and learning mathematics asand through craft. Types of needleworkincluded are knitting, crochet, needlepoint,cross-stitch, quilting, temari balls, beading,tatting, and string art. The text combines knit-ting with calculus to create circles and surfacesof revolution, illustrates a mola version ofSierpinski’s triangle, and covers unusual quilt-ing techniques of semiregular tessellations.

Chapters start with accessible overviews presenting the interplay between mathemati-cal concepts and craft expressions. Followingsections explain the mathematics in moredetail and provide suggestions for classroomactivities. Each chapter ends with specific crafting instructions. Instructions are written asordinary patterns, so the formatting and language will be familiar to crafters.

Contents

Introduction. Knit Knit Revolution.Generalized Helix Striping. A Knitted Cross-Cap. Fashioning Fine Fractals from Fiber.Diaper Patterns in Needlepoint. GroupActions in Cross-Stitch. Perfectly Simple:Squaring the Rectangle. Spherical Symmetriesof Temari. Quilting Semiregular Tessellations.Bibliography. Index.

Catalog no. K13062, February 2011, 264 pp.ISBN: 978-1-56881-435-3, $39.95 / £25.99

New!

MathematicsEducation for a New EraVideo Games as aMedium for LearningKeith DevlinStanford University,California, USA

“Keith Devlin’s highly readable book sets thefoundation for a new approach to learningmathematics where everyone can learn mathand finally lose their math fears and phobias.… It will become a classic.”

—James Paul Gee, Mary Lou FultonPresidential Professor of Literacy Studies,Arizona State University, Phoenix, USA

“Keith Devlin’s latest book does a thoroughjob exploring the affordances that videogames can provide to the teaching and learn-ing of mathematics. …” —Drew Davidson, Director of Entertainment

Technology Center, Carnegie MellonUniversity, Pittsburgh, Pennsylvania, USA

“Mathematics Education for a New Eraconnects Devlin’s deep understanding ofmathematics education to the new research indigital-games-based learning to pave a pathfor re-energizing mathematics education.”

—Kurt Squire, author of Video Games &Learning: Teaching and Participatory

Culture in the Digital Age

“Keith Devlin makes an engaging and persua-sive argument that online computer gamescan be a great way to teach basic math skills.… Game designers can use this book as inspi-ration for creating new kinds of games thatreward players not only with fun experiencesand real math skills, but also the importantknack of thinking like a mathematician (andliking it!).”

—Andrew Glassner, author of InteractiveStorytelling: Techniques for 21st

Century Fiction

Catalog no. K13065, March 2011, c. 218 pp.Soft CoverISBN: 978-1-56881-431-5, $29.95 / £25.99



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Coming laterthis year!

Twists, Tilings,and TessellationsRobert J. Langlangorigami.com, Alamo, California, USA

Twists, Tilings, and Tessellation describes theunderlying principles and mathematics of thebroad and exciting field of abstract and math-ematical origami, most notably the field oforigami tessellations. The book contains fold-ing instructions, underlying principles, mathe-matical concepts, and many beautiful photosof the latest work in this fast-expanding field.

Catalog no. K00714, December 2011Soft CoverISBN: 978-1-56881-232-8, $60.00 / £38.99

New!

Origami 5Edited by

Patsy Wang-Iverson,Robert J. Lang, andMark Yim

While many individuals have discovered discrete connections among origami, mathe-matics, science, technology, and educationduring the twentieth century, the field reallytook off when previously isolated individualsbegan to make stronger connections witheach other, exploring the links between origami and “the outside world.” This volumebrings together an unprecedented number ofresearchers who discuss topics ranging frommathematics to technology to educationaluses of origami to fine art to computer pro-grams for the design of origami.

Catalog no. K00673, May 2011, 450 pp.Soft CoverISBN: 978-1-56881-714-9, $69.95 / £43.99

Origami 4Edited by

Robert J. Lang langorigami.com, Alamo, California, USA

“These 46 diverse, first-class articles give thefield a fabulous overview and offer invaluablecitations, particularly to Internet resources. …Highly recommended.”

—D.V. Feldman, CHOICE, June 2010

“Fantastic book! … The balance betweenmathematical theory and manipulative prac-tice, and between artistic and educationalapplications makes this a book for everyone. Ilook forward to using this book personallyand professionally.”—Robert Root-Bernstein, Ph. D., co-author of

Sparks of Genius, June 2009


Mathematiciansof the World,Unite!The InternationalCongress ofMathematicians—A Human EndeavorGuillermo P. Curbera University of Seville, Spain

“This well-written and beautifully edited bookgives a survey of all 25 ICMs, from 1897 inZurich to 2006 in Madrid.”

—Bart J.I. Van Kerkhove, MathematicalReviews, December 2009

“Extensive efforts are evident in this carefullyresearched text with its extraordinary collec-tion of 400 illustrations, many of which havenot appeared elsewhere, at least in recenttimes. The text is a joy to read and the lavishlayout is a delight to the eye. …”

—Gerald Alexanderson, MAA Reviews, April 2009








New!

MATLAB®

PrimerEighth EditionTimothy A. DavisUniversity of Florida,Gainesville, USA

Highlighting the new aspects of MATLAB®7.10 and expanding on many existing fea-tures, this book shows how to solve problemsin science, engineering, and mathematics.

New to the Eighth Edition

• A new chapter on object-oriented program-ming

• Discussion of the MATLAB File Exchangewindow, which provides direct access toover 10,000 submissions by MATLAB users

• Major changes to the MATLAB Editor, suchas code folding and the integration of theCode Analyzer (M-Lint) into the Editor

• Explanation of more powerful Help tools,such as quick help popups for functions viathe Function Browser

• The new bsxfun function

• A synopsis of each of the MATLAB Top 500most frequently used functions, operators,and special characters

• The addition of several useful features,including sets, logical indexing, isequal,repmat, reshape, varargin, andvarargout

Now in its eighth edition, this popular primercontinues to offer a hands-on, step-by-stepintroduction to using the powerful tools ofMATLAB. It takes you through a series of simple examples that become progressivelymore complex. M-files and MEX-files for largeexamples are available for download at CRCPress Online.


Bright BoysThe Making ofInformationTechnologyTom Green “A+: This is how a computer history bookshould be written. It’s an amazing history ofMIT in the 1940s and 1950s around theinvention of the computer. …”

—Technology Review, May 2010

“Bright Boys cuts right to the heart of howcomplex technologic systems are conceived,incubated, and grown across generations.Tom’s clever writing style draws a reader intothe story and the remarkable depth andbreadth of his research holds the reader firm,often enthralled, throughout. …”—Dik Daso, Smithsonian Institution, National

Air and Space Museum, February 2010

“A fascinating story of how it felt to be present at the creation of the Information Age … .”

—Paul E. Ceruzzi Smithsonian Institution,National Air and Space Museum,

February 2010

“… Bright Boys is a riveting read of techno-logical history, highly recommended.”

—Midwest Book Review, July 2010

“… In the book, Green takes special care tomake the reader aware of the social and sci-entific contexts in which the ‘bright boys’worked and flourished; the result is a highlyenjoyable history lesson with a true feel for the human aspect of many of the key players.”

—Cyntrica Eaton, AAAS Science Books & Films, August 2010

Catalog no. K00361, 2010ISBN: 978-1-56881-476-6, $39.00 / £25.99



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New!

Train Your BrainA Year’s Worth ofPuzzlesGeorge GrätzerUniversity of Manitoba,Winnipeg, Canada

This book provides entertaining and challeng-ing mental exercises for every week of the year.Whether you are a high school student eagerto sharpen your brain or someone older whowould like to retain your mental agility, youwill find your brain getting sharper and moreagile as you solve the puzzles in this book.Read a few puzzles every week, think aboutthem, solve them, and you will see the results.And on the way to a sharper mind, you willenjoy every step.

Catalog no. K00594, April 2011Soft CoverISBN: 978-1-56881-710-1, $29.95 / £18.99

New!

HingesMeditations on thePortals of theImaginationGrace Dane Mazur “… a masterpiece of literary and artisticinsight. … It makes you want to revisit theworld’s great masters of verbal art … Theauthor of this remarkable book has an uncan-ny instinct for seeing things as they really areat that liminal moment when the reader, inreading, crosses over from the everyday to theeternal.”

—Gregory Nagy, Harvard University,Cambridge, Massachusetts, USA


Song of TwoWorldsAlan Lightman Massachusetts Institute ofTechnology, Cambridge, USA

“… a nice addition to the scientific-poeticlibrary.”

—M.A. Orthofer, The Complete Review,October 2009

“Created by a man of science and art, AlanLightman’s work is a unique thing to behold.Song of Two Worlds is a collection of poetryfrom the physicist, as he blends his two disci-plines well for a truly fascinating insight intothe world around us. With fine verse, Song ofTwo Worlds is a top pick.”—The Midwest Book Review, December 2009

Catalog no. K00499, 2010ISBN: 978-1-56881-463-6, $24.95 / £15.99

OrigamiPolyhedraDesignJohn Montroll St. Anselm’s Abbey School,Washington, D.C., USA

“… Highly recommended.”—D.V. Feldman, CHOICE, August 2010

“Origami Polyhedra Design is a break-through collection of original designs createdby the author to make polyhedral shapesfrom a single sheet of paper through folding.… The book is well designed and organizedand makes you want to start folding polyhe-dra. … the instructions for the individualmodels are clear and easy to understand…”

—Thomas Hagedorn, MAA Reviews, April 2010








New!

OrigamiInspirationsMeenakshi Mukerji “Mukerji presents yet another colorfully illus-trated book, showing in clear diagrams howto make complex three-dimensional figures byfolding paper. …”


“A whole book full of amazingly attractivenew modular pieces. This book is highly rec-ommended to all modular folders and thosewanting to dabble in this pastime. …”

—David Petty, British Origami Society, May 2010


Homage to aPied PuzzlerEdited by

Ed Pegg Jr., Alan H. Schoen, and Tom Rodgers “… whether you are interested in puzzles,origami or card tricks, it has them all. … Ifyou are bored with doing Sudoku and fancyreading about games of a similar ilk, then thisis the book for you.”—Simon Craik, London Mathematical Society,

May 2010

Inspired by Martin Gardner, this collectioncovers card and magic tricks, the historybehind given puzzles, mathematically interest-ing objects involving the number seven, andpuzzles for readers to solve.


Coming soon!

The Star andthe WholeFabrizio PalombiUniversity of Calabria, Italy

This book is the first study of Gian-Carlo Rota’sphilosophical reflection examined in the lightof Husserlian Fundierung (foundation), techno-logical conquests, and the debate that hascharacterized the connection between scienceand mathematics in the second half of thetwentieth century. Authored by one of Rota’sstudents, the text provides a complete bibliog-raphy of Rota’s philosophical writings. Readersinterested in contemporary philosophy, episte-mology, psychology, mathematics, and sci-ence will enjoy this essential introduction tothe reflections of a great intellectual.

Catalog no. K00789, June 2011, 200 pp.Soft CoverISBN: 978-1-56881-583-1, $29.95 / £18.99

MathematicalWizardry for aGardnerEdited by

Ed Pegg Jr., Alan H. Schoen, and Tom Rodgers “Anyone who enjoys learning about themathematics behind problems will enjoy this book. … Mathematical Wizardry for aGardner poses interesting, engaging prob-lems while also including an emphasis onpost-high school mathematics. If you enjoyboth, then this book is for you.”—Cynthia Taylor, Mathematics Teacher, May 2010

“… this fun book is a welcome change fromthe newspaper puzzles that I typically do onmy way home from work.”

—Bernard Kuc, Computing Reviews, January 2010






15



RecountingsConversations with MITMathematiciansEdited by

Joel Segel “… Highly recommended.”

—CHOICE Magazine, July 2009

“… a fascinating mosaic of the rise of a math-ematical department to a prominent positionamong the world’s most distinguished mathe-matical institutions. …”—Karl-Heinz Schlote, Mathematical Reviews,

June 2010

“… It’s a terrifically interesting book, and justplain fun. I’ll read it again and again.”

—Michael Berg, MAA Reviews, March 2009


Science for the CuriousPhotographerAn Introduction tothe Science ofPhotographyCharles S. Johnson, Jr. “Johnson’s book combines the knowledge ofan experienced scientist and educator withthe passion of an accomplished photogra-pher. He introduces the scientific foundationsof photography and provides interested pho-tographers with the information and practi-cal advice that will help improve their craft.This is also a must read for those interested incomputational photography.”—Ramesh Raskar, MIT Media Lab, April 2010

“An outstanding book that does a remarkablejob of weaving together the many facets ofphotography. …”

—Bill Stice, April 2010


New!

Roads toInfinityThe Mathematics ofTruth and ProofJohn Stillwell University of San Francisco,California, USA

“… highly recommended reading for stu-dents, scholars, and non-specialist generalreaders with an interest in the history andcontemporary issues of mathematics today.”—Able Greenspan, The Midwest Book Review

“… If you’ve ever been tantalized by the puz-zles of infinity, set theory, and logic, and wantto understand what’s really going on, this isthe book for you. It’s an exceptionally finepiece of mathematical exposition.”

—Steven Strogatz, Cornell University, andauthor of The Calculus of Friendship


CrochetingAdventureswith HyperbolicPlanesDaina Taimina Cornell University, Ithaca, New York, USA

“… The book helps to change the way ofthinking about mathematics — an art ofhuman understanding!”

—Corina Mohorianu, Zentralblatt MATH,September 2009

“Daina Taimina’s crocheted pieces are worksof art that have been photographed in set-tings that emphasize their artistic beauty andremind us that hyperbolic shapes are familiarand occur naturally around us. … I highly rec-ommend this book. …”

—Journal of Mathematics and the Arts, March 2010








Leonhard Eulerand theBernoullisM.B.W. Tent “Tent’s attention to detail, both mathemati-cally and historically, is excellent.”—Rob Bradley, London Mathematical Society,

April 2010

“… an interesting and entertaining biography … ”

—MAA Reviews, November 2009

“The story of these remarkable men, theirgreat ambitions and dedication to their sci-ence—often against parental authority—isskillfully told by the author. Refreshing fiction-al dialogue is interspersed throughout into anotherwise accurate historical scenario.”

—Walter Gautschi, Purdue University, West Lafayette, Indiana, USA


LogicalLabyrinthsRaymond M. Smullyan “In addition to being one of the most impor-tant mathematical logicians of our time,Raymond Smullyan is also a master inventorand purveyor of logic puzzles … Much ofSmullyan’s technical work consists of ingen-ious ways to generalize features of formal sys-tems and crucial results in mathematicallogic. That is what is highlighted in this book. … he presents a clean and insightfulgeneralization of many of the logic puzzlesthemselves. …”

—Stewart Shapiro, Mathematical Reviews,October 2009


RiemannianGeometryA Beginners Guide,Second EditionFrank Morgan Williams College,Williamstown,Massachusetts, USA

The second edition of this classic text includesan extraordinary wealth of examples and exercises as well as new material, ranging from isoperimetric problems to comments onEinstein’s original paper on relativity theory.The author’s ability to extract essential ele-ments of the theory in a lucid and concisefashion allows readers to easily access thematerial and enables instructors to addemphasis and cover special topics.


The Computeras CrucibleAn Introduction toExperimentalMathematicsJonathan Borwein Keith Devlin Stanford University,California, USA

“The sleuth-like style and lucid writing cer-tainly make this book an enjoyable read.Many explanations are framed by relevanthistorical context and tales of mathemati-cians whose use of experimental mathematicshelped them gain insights into difficult prob-lems. … I thoroughly enjoyed reading thisshort introduction to experimental mathe-matics. It will no doubt appeal to a broadmathematical audience, both professionaland amateur alike.”

—Mitch Wheat, Gazette of the AustralianMathematical Society, July 2009






17



The SimpleBook of Not-So-Simple PuzzlesSerhiy Grabarchuk,Peter Grabarchuk, andSerhiy Grabarchuk, Jr. “This amazingly captivating book collectsover one hundred original brain teasers con-ceived and tastefully designed by theGrabarchuk family … The book will beenjoyed by all puzzle lovers …”

—Zentralblatt MATH, February 2009

“This collection of puzzles will provide manyinteresting, fun and enjoyable moments toanyone who solves them. It can be recom-mended to all readers who like solving brain-teasers.”—European Mathematical Society Newsletter,

September 2008


Legacy of theLuoshuThe 4,000 YearSearch for theMeaning of theMagic Square ofOrder ThreeFrank J. Swetz “I found the book very interesting and a joy toread, not least because of the many diagramsand illustrations. What makes this book espe-cially worthwhile, however, is the attentionpaid to the large variation in cultural meanings, both within China as well as inother countries … I find in this book a beauti-ful uncovering of this part of the history ofmathematics.”—Aldine Van Der Ham-Aaten, MAA Reviews,

January 2009


OrnamentalOrigamiExploring 3DGeometric DesignsMeenakshi Mukerji “This book is an excellent contribution to thegrowing interest in and publications on origa-mi, the art of paper folding. The author usesa special (construction) method called modu-lar origami. … In marvelous coloured pic-tures, more than 40 modular origami modelsare shown with explicit instructions for theconstruction. … The reader is invited to followthe passion of paper folding inspired by thebeautiful examples in this book.”

—Gertraud Ehrig, Zentralblatt MATH,September 2009


A Lifetime of PuzzlesHonoring MartinGardnerEdited by

Erik D. Demaine,Martin L. Demaine,and Tom Rodgers “… a lovely tribute to Martin Gardner … . It will bring many happy moments to thereaders keen on exploring connectionsbetween puzzles, magic, and mathematics.”

—Zentralblatt MATH, February 2009

“… The personalized articles are wonderfullydone and give the reader insight intoGardner’s inquisitive nature … the book is afine tribute to Mr. Gardner.”

—MAA Reviews, May 2009








The UnravelersMathematicalSnapshotsEdited by

Jean-Francois Dars,Annick Lesne, andAnne Papillault “… it is often frustrating and difficult to findgood photographs of mathematicians, andeven harder to get information about whenthey were made, and by whom. This is one ofthe things that make books like this one valu-able … these expressive photos of mathemati-cians and theoretical physicists doing whatthey do are a beautiful record of the life of aplace and of the people who go there.”

—Fernando Q. Gouvêa, MAA Reviews,February 2009


StrangeAttractorsPoems of Love andMathematicsEdited by

Sarah Glaz University of Connecticut,Storrs, USA

JoAnne Growney Silver Spring, Maryland, USA

“The editors did do a great job on the extras.I appreciate how they contextualized thebook, offering a list of related books on math-ematical poetry. And I frequently found myselfconsulting the author bios and publicationinformation. If you are a mathematician wholikes poetry, you are going to have a goodtime with this book. There’s some spectacularpoetry here, and some actual math. It’s worththe dig.”—The College Math Journal, December 2009


The Shape of ContentCreative Writing inMathematics andScienceEdited by

Chandler Davis,Marjorie Wikler Senechal,and Jan Zwicky “The content given shape here goes beyondmathematics and science to the intertwiningof mathematical and scientific professionalinvolvement, creative activity and the person-al connections in which these are embedded.… This may be the ultimate value of this vol-ume: the humanity of science and mathemat-ics that it may convey to the non-scientific,non-mathematical reader. … This book is anenjoyable, readable collection of well-craftedpieces. Read it. Share it. …”

—Douglas Norton, Journal of Mathematicsand the Arts, June 2010


MathematicalPeopleProfiles andInterviews, Second EditionEdited by

Donald J. Albers andGerald L. Alexanderson “Recognising that much of the material in thisbook is not readily available elsewhere, [theeditors] determined to make the interviewsavailable to a new generation of readersinterested in mathematics. … warmly recom-mended.”

—Robin Wilson, The London MathematicalSociety Newsletter, July 2009

“The well-written classical interviews mayinfluence many young students and scientistsbeginning their careers to study and do math-ematics or its applications.”

—EMS Newsletter, March 2009






19



Emmy NoetherThe Mother ofModern AlgebraM.B.W. Tent “This book is an excellent biography of thepremier female mathematician of the twenti-eth century. … the author engages in a greatdeal of ‘literary creativity’ in generating thesupposed dialog between Emmy and her par-ents, siblings, students and coworkers. Noneof it is beyond the bounds of plausible con-versation, and she is presented as a woman ofsubstance who cared little for the trappings ofstyle and pomp.”

—Charles Ashbacher, MAA Online,November 2008


TheWraparoundUniverseJean-Pierre Luminet “The book is thick with novel insights andbeautiful elementary presentations ofadvanced mathematical ideas. The presenta-tion of the basic ideas … are marvels of exposition.”

—Mathematical Reviews, January 2009

“Beautiful book on the possibility that ouruniverse is a huge optical illusion will changethe way you look at the sky … Sophisticatedand beautifully written, the book is a thor-ough and enjoyable introduction to cosmictopology … .”

—New Scientist, February 2008


Julia Robinsonand Hilbert’sTenth Problem George Csicsery

This biographical documentary tells the storyof a pioneer among American women inmathematics. In the film, Julia Robinson’smajor contribution to the solution of H10 trig-gers a tour of 20th century mathematics thatmoves from Paris in 1900, through the UnitedStates, to the Soviet Union, and back. The filmcovers important events in the history of mod-ern mathematics, while conveying the motiva-tions of mathematicians and exploring therelationship between mathematical researchand the development of computers.

Catalog no. K00797, 2008, DVDISBN: 978-1-56881-428-5, $29.95 / £18.99

The Prince ofMathematicsCarl Friedrich GaussM.B.W. Tent

Based on extensive research of original andsecondary sources, this historical narrativepresents a touching story of the personalachievement of Carl Friedrich Gauss. In thebook, readers learn about the mathematicalgenius of a young boy who grew up to predictthe reappearance of a lost planet, discover thebasic properties of magnetic forces, and inventa surveying tool used by professionals until theinvention of lasers.








Yearning forthe ImpossibleThe SurprisingTruths ofMathematicsJohn Stillwell University of San Francisco,California, USA

“… Stillwell brings new, unorthodox insightsto his writing that will stimulate readers (fromhigh schoolers to emeritus professors) to thinkabout old topics in new, nonstale ways. …”

—SIAM Review, May 2007

“Stillwell weaves historical details into hiswriting seamlessly, helping to give the readerthe true feeling that mathematics is … a richand rewarding intellectual endeavor impor-tant to the human enterprise.”

—Marcus E. Barnes, MAA Reviews,August 2006


New!

A CulturalHistory ofPhysicsKároly Simonyi

Translated and updated, this classic and comprehensive history of physics combines awide-ranging, in-depth account of the scienceof physics with an insightful interpretation ofthe cultural context in which these experimen-tal discoveries and conceptual interpretationsdeveloped. A wealth of original sources andillustrations, both technical and historical,allow readers to get involved in an intellectualdialogue with the great scientific minds thatcreated our understanding of the physicalworld.

Catalog no. K00315, May 2011, 600 pp.ISBN: 978-1-56881-329-5, $59.00 / £37.99

Mathematics inGames, Sports,and GamblingThe Games PeoplePlayRonald J. GouldEmory University, Atlanta, Georgia, USA

A 2010 CHOICE Outstanding Academic Title

“… a wonderful reference for studying proba-bility or statistics … Though this book mightserve as the seed for the development of a newmathematics course at some institutions, thisreviewer sees its greater value as a referencefor mathematicians who are unfamiliar withthe probabilities associated with gambling orapplying statistics in sports.”

—J.T. Noonan, CHOICE, Vol. 47, No. 9, May 2010


Coming soon!

Origami DesignSecretsSecond EditionRobert J. Langlangorigami.com, Alamo, California, USA

Written by the world-renowned origamistRobert J. Lang, this work presents the mathe-matical and design principles used to createoriginal origami. Drawing on his own designs,the author illustrates the techniques with fold-ing instructions. Highly advanced models areincluded at the end of the book. The secondedition of this acclaimed text presents severalnew chapters on polygon packing and boxpleating as well as improved illustrationsthroughout.

Catalog no. K13068, June 2011Soft CoverISBN: 978-1-56881-436-0, $59.95 / £38.99





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CRCEncyclopedia of

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Eric W. WeissteinWolfram Research, Champaign, Illinois, USA

Praise for the Last Edition

“…inaugurates a new era … lives andbreathes hand-in-hand with the Internet.… the book is a ‘first’ in the technologyage… . CAS are used extensively by theauthor, and Mathematica codes are included… .”

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Dramatically Expanded to be the Most Comprehensive Library Reference on

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• Updated for use with Mathematica® 6 & 7

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• 11,900 entries now in 3 volumes

Catalog no. C722X2009, 4328 pp.

ISBN: 978-1-4200-7221-1$495.00 / £315.00

New Edition of a Bestseller!

T H R E E - V O L U M E S E T

CRCEncyclopedia of

Mathematics

Eric W. WeissteinWolfram Research, Champaign, Illinois, USA

Praise for the Last Edition

“…inaugurates a new era … lives andbreathes hand-in-hand with the Internet.… the book is a ‘first’ in the technologyage… . CAS are used extensively by theauthor, and Mathematica codes are included… .”

—SIAM Review, Vol. 46

Dramatically Expanded to be the Most Comprehensive Library Reference on

Mathematics Available Today

• Updated for use with Mathematica® 6 & 7

• Over 1000 pages of entirely new material

• 11,900 entries now in 3 volumes

Catalog no. C722X2009, 4328 pp.

ISBN: 978-1-4200-7221-1$495.00 / £315.00


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CRC Standard MathematicalTables and Formulae32nd EditionDaniel ZwillingerRaytheon Corporation, Newton, Massachusetts, USA

Catalog no. K11596June 2011, c. 832 pp.

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