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www.cambridge.org/mathematics SPRING 2004

Analysis andProbability

Logic, Foundationsand Combinatorics

Geometry andTopology

Algebra and NumberTheory

Dynamics andMechanics

Statistics, Probabilityand Finance

Numerics andComputer Science

Mathematical Physics

General andRecreational Maths

Journals

Recent Bestsellers

Mathematics

ContentsAnalysis and Probability 1Logic, Foundations and

Combinatorics 2Geometry and Topology 3Algebra, and Number Theory 4Dynamics and Mechanics 5Statistics, Probability and Finance 6Numerics and Computer Science 7Mathematical Physics 9General and Recreational Maths 10Journals 11Recent Bestsellers 14Author and Title Index 15

Cambridge University Press is the printing and publishing house of the University of Cambridge,and is the oldest press in the world. It is a charitable enterprise required by University Statute to devote itself to printing and publishing in the furtherance of the acquisition, advancement,conservation, and dissemination of knowledge in all subjects; to the advancement of education,religion, learning, and research; and to the advancement of literature and good letters.

HighlightsAn Introduction to Financial OptionValuationDesmond Higham

• Introduction to all aspects of MathematicalFinance, requiring only basic calculus

• Comes with MATLAB code, available fromwww.cambridge.org

• Many exercises using real stock market data, withsolutions available from the web

➤ See page 6 for more information

An Introduction to Ordinary DifferentialEquationsJames Robinson

• Ideal for first courses in differential equations

• Lots of examples and exercises, with solutionsavailable to lecturers

• MATLAB code from the book available fromwww.cambridge.org


Coding TheorySan Ling and Chaoping Xing

• A clear, accessible textbook, designed with thestudent in mind

• Includes essential material that most other bookscover badly

• A wealth of examples and exercises withsolutions for lecturers


Many of our journal titles are now available online. Each journal entryin this catalogue indicates where the price includes, or will include,

access to the electronic version of the journal during 2004. Full text isavailable FREE to all individuals within the registered domain address

of full rate subscribers. In addition, the service provides all users with FREEaccess to tables of contents and abstracts, and a FREE email alerting service.

Who to contactBook proposals: David Tranah

([email protected])

For further information about mathematics titles:Graham Robertson ([email protected])

All other enquiries, phone +44 (0) 1223 312393or email [email protected]

Prices and PaymentPrices and publication dates are correct at the time ofgoing to press but are subject to alteration withoutnotice.

www.cambridge.org/mathematicsThis catalogue contains a selection of our most recent publishing in this area. Please visit ourwebsite for a full and searchable listing of all our titles in print and also an extensive range ofnews, features and resources. Our online ordering service is secure and easy to use.

Coming soon to the WebMathematics in Industry InformationSite - MIIS• MIIS is being set up to become the online resource

of choice for Industrial Mathematics. It will be awindow on what mathematics can do for industryand how industry can be a source of new ideas formathematics.

• The site, with free access and moderated content,will include a combination of preprint server, and afacility that will matchmake mathematicians withscientists/engineers in universities and in industry.It will also contain records of Study GroupsWorkshops reports.

• It will feature a ‘comment board’ that enablesindividuals to submit information and expressviews on existing articles, propose problems thatneed tackling, and announce forthcoming eventsof interest to the readership

• The site is a joint venture of Oxford Centre forIndustrial and Applied Mathematics, TheSmith Institute for Industrial Mathematics andSystem Engineering, EJAM and CambridgeUniversity Press

• Visit http://www.math-in-industry.orgregularly for updates

1

Analysis andProbability

TEXTBOOK

Complex Analysis withMATHEMATICA®

William ShawUniversity of Oxford

Ideal for several differentcourses in complex analysis formathematicians, physicists, engineersetc. Shaw exploits MATHEMATICA® forits power to illustrate, calculate orfunction as an investigative tool. The CDcontains the entire manuscript inMATHEMATICA® enabling readers touse or modify any of the code featuredin the book.

2004 247 x 174 mm 500pp 100 line diagrams 50 half-tones 16 colour plates0 521 83626 3 Hardback c. £45.00Publication May 2004

Harmonic Mappings inthe PlanePeter DurenUniversity of Michigan, Ann Arbor

This first comprehensive account of thetheory of planar harmonic mappings,meant for non-specialists, treats boththe generalizations of univalent analyticfunctions and the connections withminimal surfaces. Included arebackground material in complexanalysis and a full development of theclassical theory of minimal surfaces,including the Weierstrass-Enneperrepresentation.Cambridge Tracts in Mathematics, 156

2004 228 x 152 mm 224pp0 521 64121 7 Hardback £40.00Publication May 2004

Lévy Processes in LieGroupsMing LiaoAuburn University, Alabama

The theory of Lévy processes in Liegroups is not merely an extension of thetheory of Lévy processes in Euclideanspaces. Because of the unique structurespossessed by non-commutative Liegroups, these processes exhibit certaininteresting limiting properties which arenot present in the Euclidean case. Anecessary purchase for all whoseresearch brings them into contact withLévy processes.Cambridge Tracts in Mathematics, 162

2004 228 x 152 mm 280pp0 521 83653 0 Hardback £40.00Publication May 2004

▼ FEATURE TITLE

2-VOLUME SET

Multidimensional RealAnalysisJ. J. DuistermaatUniversiteit Utrecht, The Netherlands

and J. A. C. KolkUniversiteit Utrecht, The Netherlands

Two-volume set of the authors’comprehensive and innovative work onmultidimensional real analysis.Numerous illustrative exercisescombined with an exhaustive andtransparent treatment of subject mattermake these books ideal as either thetext for a course, a source of problemsfor a seminar or for self study.Cambridge Studies in AdvancedMathematics

2003 228 x 152 mm 50 line diagrams0 521 82930 5 2 Volume Set c. £80.00

Multidimensional RealAnalysis, IDifferentiationJ. J. DuistermaatUniversiteit Utrecht, The Netherlands


Part one of comprehensive text onmultidimensional real analysis.Numerous exercises with partialsolutions.Cambridge Studies in AdvancedMathematics, 86

2004 228 x 152 mm 436pp 5 line diagrams0 521 55114 5 Hardback c. £45.00Publication April 2004

Multidimensional RealAnalysis, IIIntegrationJ. J. DuistermaatUniversiteit Utrecht, The Netherlands


Part two of comprehensive text onmultidimensional real analysis.Numerous exercises with partialsolutions.Cambridge Studies in AdvancedMathematics, 87

2004 228 x 152 mm 350pp 25 line diagrams0 521 82925 9 Hardback c. £40.00Publication April 2004

Irresistible IntegralsSymbolics, Analysis, andExperiments in the Evaluation ofIntegralsGeorge BorosXavier University of Louisiana

and Victor H. MollTulane University, Louisiana

The authors use the problem of exactevaluation of definite integrals as astarting point for exploring many areasof mathematics, including analysis,number theory, algebra andcombinatorics. This will be a guided tourof exciting discovery for undergraduatesand their teachers in mathematics,computer science, physics, andengineering.

2004 228 x 152 mm 250pp0 521 79186 3 Hardback c. £45.000 521 79636 9 Paperback c. £16.99Publication July 2004

The Cauchy-SchwarzMaster ClassAn Introduction to the Art ofMathematical InequalitiesJ. Michael SteeleUniversity of Pennsylvania

Using the Cauchy-Schwarz inequality asa guide, the author presents afascinating collection of problemsrelated to inequalities and coachesreaders through solutions.Undergraduate and beginning graduatestudents in mathematics, theoreticalcomputer science, statistics, engineering,and economics will find the bookperfect for self-study or as a supplementto probability and analysis courses.

2004 228 x 152 mm 320pp 50 line diagrams 150 exercises0 521 83775 8 Hardback £50.000 521 54677 X Paperback £18.95Publication June 2004

NEW EDITION

An Introduction toHarmonic AnalysisThird editionYitzhak KatznelsonStanford University, California

First published in 1968, An Introductionto Harmonic Analysis has firmlyestablished itself as a classic text and afavorite for students and experts alike.This new edition has been revised bythe author, to include several newsections and a new appendix.Cambridge Mathematical Library

2004 228 x 152 mm 336pp0 521 83829 0 Hardback £50.000 521 54359 2 Paperback £18.95Publication April 2004

Analysis and Probability

Visit our website at www.cambridge.org

2

The Direct Method inSoliton TheoryRyogo HirotaWaseda University, Japan

The modern version of the bilinear, orHirota’s direct, method is described hereusing relatively simple mathematics. Asthe only account in book form of themodern form of the theory, it will beessential reading for all those workingin soliton theory.Cambridge Tracts in Mathematics, 155

2004 228 x 152 mm 240pp 12 figures0 521 83660 3 Hardback c. £40.00Publication June 2004

Logic,FoundationsandCombinatorics

▼ FEATURE TITLE

TEXTBOOK

Coding TheoryA First CourseSan LingNational University of Singapore

and Chaoping XingNational University of Singapore

Coding theory is concerned withsuccessfully transmitting data through anoisy channel and correcting errors incorrupted messages. It is of centralimportance for many applications incomputer science or engineering. Thisbook gives a comprehensiveintroduction to coding theory whilstonly assuming basic linear algebra. Itcontains a detailed and rigorousintroduction to the theory of blockcodes and moves on to more advancedtopics like BCH codes, Goppa codes andSudan’s algorithm for list decoding. Theissues of bounds and decoding,essential to the design of good codes,features prominently. The authors of thisbook have, for several years, successfullytaught a course on coding theory tostudents at the National University ofSingapore. This book is based on theirexperiences and provides a thoroughlymodern introduction to the subject.There are numerous examples andexercises, some of which introducestudents to novel or more advancedmaterial.Contents: 1. Introduction; 2. Errordetection, correction and decoding; 3. Finitefields; 4. Linear codes; 5. Bounds in coding

theory; 6. Constructions of linear codes;7. Cyclic codes; 8. Some special cycliccodes; 9. Goppa codes.

2004 228 x 152 mm 234pp 50 line diagrams0 521 82191 6 Hardback £65.000 521 52923 9 Paperback £23.95

TEXTBOOK

A First Course inCombinatorialOptimizationJon LeeIBM T J Watson Research Center, New York

This text for a one-semester introductorygraduate course for students ofoperations research, mathematics, andcomputer science, covers linear andinteger programming, polytopes,matroids and matroid optimization,shortest paths, and network flows. Theauthor focuses on the key mathematicalideas that lead to useful models andalgorithms.Cambridge Texts in Applied Mathematics, 36

2004 228 x 152 mm 240pp0 521 81151 1 Hardback £60.000 521 01012 8 Paperback £20.99Publication April 2004

MAA PUBLICATION

A Tour ThroughMathematical LogicRobert WolfCalifornia State Polytechnic University, Pomona

Professor Wolf provides a guide that anyinterested reader with some post-calculus experience in mathematics canread, enjoy, and learn from. Coveringthe foundations of mathematics, it ismore user-friendly than standard textsso will also be attractive to thoseoutside the classroom environment.Spectrum

2004 228 x 152 mm 200pp 40 exercises0 883 85036 2 HardbackPublication July 2004

▼ FEATURE TITLE

NEW EDITION

TEXTBOOK

Logic in ComputerScienceModelling and Reasoning aboutSystemsSecond editionMichael HuthImperial College, London

and Mark RyanUniversity of Birmingham

The second edition of this successfultextbook continues to provide a clearintroduction to formal reasoning which

is both relevant to the needs of moderncomputer science and rigorous enoughfor practical application. Improvementshave been made throughout, with manyextra and expanded sections. Thecoverage of model-checking has beensubstantially updated. Further exerciseshave been added. Internet support forthe book includes worked solutions forall exercises for teachers, and modelsolutions to some exercises for students.

• First edition was successfully usedworldwide on undergraduate courses,on industry courses and for self-study

• New edition completely up-to-dateand related to new software tools

• Comes with model solutions forinstructors and extra web-basedproblems and solutions available forstudents

‘... an unusual, inspiring andremarkable book ... one can find in itall the material which is suitable forundergraduate and beginning graduatestudents in computer science andelectrical engineering who will profitby using it in their professionalactivities in the near future.’Zentralblatt MATH

Contents: Foreword; 1. Propositional logic;2. Predicate logic; 3. Verification by modelchecking; 4. Program verification; 5. Modallogics and agents; 6. Binary decisiondiagrams; Bibliography; Index.

2004 247 x 174 mm 450pp 10 tables400 exercises 120 figures0 521 54310 X Paperback c. £30.00Publication June 2004

LMS PUBLICATION

GRADUATE TEXT

Linear Operators andLinear SystemsAn Analytical Approach toControl TheoryJonathan R. PartingtonUniversity of Leeds

This book presents an introduction tothe common ground between operatortheory and linear systems theory.Suitable for students of functionalanalysis, this book also acts as anintroduction to a mathematicalapproach to systems and control forgraduate students in departments ofapplied mathematics or engineering.London Mathematical Society Student Texts, 60

2004 228 x 152 mm 184pp 6 line diagrams 101 exercises0 521 83734 0 Hardback £50.000 521 54619 2 Paperback £19.95Publication May 2004

Analysis and Probability/Logic, Foundations and Combinatorics

3

Finite Packing andCoveringK. BoroczkyHungarian Academy of Sciences, Budapest

This book provides an in-depthdiscussion of the theory of finitepackings and coverings by convexbodies. It contains various new resultsand arguments and provides acomprehensive treatment of problemswhose interplay was not clearlyunderstood before. Two-dimensionaland higher-dimensional arrangementsare discussed separately, arrangementsof congruent convex bodies in Euclideanspace are discussed, and the density offinite packing and covering by balls inEuclidean, spherical and hyperbolicspaces is considered.Cambridge Tracts in Mathematics, 154

2004 228 x 152 mm 367pp0 521 80157 5 Hardback £45.00Publication July 2004

LMS PUBLICATION

Higher Operads,Higher CategoriesTom LeinsterUniversity of Cambridge

Higher-dimensional category theorydraws its inspiration from areas asdiverse as topology, quantum algebra,mathematical physics, logic, andtheoretical computer science. This is thefirst book on the subject and lays itsfoundations, appealing to graduatestudents and researchers who wish tobecome acquainted with this modernbranch of mathematics.London Mathematical Society Lecture NoteSeries, 298

2004 228 x 152 mm 380pp 150 line diagrams0 521 53215 9 Paperback c. £35.00

Global Methods forCombinatorialIsoperimetric ProblemsL. H. HarperUniversity of California, Riverside

Based on Professor Harper’s substantialexperience in teaching global methodsin combinatorial optimisation and isideal for graduate students entering thefield as well as experienced researchers.The author has increased the utility ofthe text for teaching by includingworked examples, exercises andmaterial about applications to computerscience.Cambridge Studies in AdvancedMathematics, 90

2004 228 x 152 mm 246pp 50 line diagrams0 521 83268 3 Hardback £40.00Publication March 2004

Geometry andTopology

Elementary EuclideanGeometryAn IntroductionC. G. GibsonUniversity of Liverpool

A genuine introduction to the geometryof lines and conics in the Euclideanplane. Example based and selfcontained, with numerous illustrationsand several hundred worked examplesand exercises. Ideal for undergraduatecourses in mathematics, or forpostgraduates in the engineering andphysical sciences.

2004 228 x 152 mm 190pp 60 line diagrams0 521 83448 1 Hardback £32.50

LMS PUBLICATION

Topology, Geometryand Quantum FieldTheoryProceedings of the 2002 OxfordSymposium in Honour of the60th Birthday of Graeme SegalEdited by U. L. TillmannUniversity of Oxford

These proceedings contain surveysarticles, research articles, and visionaryarticles that explain new approaches toimportant problems on the interface ofpure mathematics and mathematicalphysics. Ideal for students andresearchers, it gives a snapshot of thecurrent state of the field as well asdefining directions for future research.London Mathematical Society Lecture NoteSeries, 308

2004 228 x 152 mm 600pp 50 line diagrams 1 half-tone0 521 54049 6 Paperback c. £50.00Publication April 2004

GRADUATE TEXT

Rational and NearlyRational VarietiesJános KollárPrinceton University, New Jersey

Karen E. SmithUniversity of Michigan, Ann Arbor

and Alessio CortiUniversity of Cambridge

Arising from a summer-school course,this book develops the modern theoryof rational varieties at a level that willparticularly suit graduate students. Theauthors have written a state-of-the-arttreatment with numerous exercises andsolutions to help students reach thestage where they can begin to tacklecontemporary research.Cambridge Studies in AdvancedMathematics, 92

2004 228 x 152 mm 241pp0 521 83207 1 Hardback c. £30.00Publication April 2004

LMS PUBLICATION

GRADUATE TEXT

Singularities of PlaneCurvesC. T. C. WallUniversity of Liverpool

The study of singularities usestechniques from algebra, algebraicgeometry, complex analysis andtopology. This book introduces graduatestudents to this attractive area ofmathematics. It is based on a MSccourse taught by the author andcontains much original material, withnew views and results not foundelsewhere.London Mathematical Society Student Texts, 63

2004 228 x 152 mm 250pp 24 line diagrams 50 exercises0 521 83904 1 Hardback c. £55.000 521 54774 1 Paperback c. £22.95Publication June 2004

Logic, Foundations and Combinatorics/Geometry and Topology

For monthly email alerts visit www.cambridge.org/eservices

4

Algebra andNumber Theory

NEW SERIES

New MathematicalMonographsSeries Editors: Professor BelaBollobasUniversity of Memphis

Professor William FultonUniversity of Michigan

Professor Anatole KatokPennsylvania State University

Professor Frances KirwanUniversity of Oxford

Professor Peter SarnakPrinceton University

Professor Barry SimonCalifornia Institute of Technology

The New MathematicalMonographs are dedicated to bookscontaining an in-depth discussion of asubstantial area of mathematics. Theywill bring the reader to the forefront ofresearch by presenting a synthesis ofthe key results whilst alsoacknowledging the wider mathematicalcontext. As well as being detailed, theywill be readable and contain themotivational material necessary forthose entering a field: for establishedresearchers they will be a valuableresource. Books will be edited andtypeset to a high standard andpublished in hardback.

LMS PUBLICATION

Number Theory andAlgebraic GeometryEdited by Miles ReidUniversity of Warwick

and Alexei SkorobogatovImperial College of Science, Technology andMedicine, London

Sir Peter Swinnerton-Dyer’smathematical career encompasses morethan 60 years’ work of amazingcreativity. This volume reviews some ofhis many remarkable contributions tomathematics and other fields, and itincludes articles from leadingresearchers in analytic and arithmeticnumber theory, and algebraic geometry.London Mathematical Society Lecture NoteSeries, 303

2004 228 x 152 mm 306pp0 521 54518 8 Paperback £35.00

▼ FEATURE TITLE

Representation Theoryof Finite ReductiveGroupsMarc CabanesUniversité de Paris VII

and Michel EnguehardUniversité de Paris VII

At the crossroads of representationtheory, algebraic geometry and finitegroup theory, this book blends togethermany of the main concerns of modernalgebra, synthesising the past 25 yearsof research, with full proofs of some ofthe most remarkable achievements inthe area. Cabanes and Enguehardfollow three main themes: first,applications of étale cohomology,leading to the proof of the recentBonnafé–Rouquier theorems. Thesecond is a straightforward andsimplified account of the Dipper–Jamestheorems relating irreducible charactersand modular representations. The finaltheme is local representation theory.One of the main results here is theauthors’ version of Fong–Srinivasantheorems. Throughout the text isillustrated by many examples andbackground is provided by severalintroductory chapters on basic resultsand appendices on algebraic geometryand derived categories. The result is anessential introduction for graduatestudents and reference for allalgebraists.New Mathematical Monographs

2004 228 x 152 mm 454pp 144 exercises0 521 82517 2 Hardback £65.00

TEXTBOOK

Introductory AlgebraicNumber TheorySaban AlacaCarleton University, Ottawa

and Kenneth S. WilliamsCarleton University, Ottawa

Algebraic number theory is a subjectwhich came into being through theattempts of mathematicians to try toprove Fermat’s last theorem and whichnow has a wealth of applications todiophantine equations, cryptography,factoring, primality testing and public-key cryptosystems. This book providesan introduction to the subject suitablefor senior undergraduates andbeginning graduate students inmathematics. The material is presentedin a straightforward, clear andelementary fashion, and the approach ishands on, with an explicitcomputational flavour. Prerequisites arekept to a minimum, and numerous

examples illustrating the material occurthroughout the text. References tosuggested reading and to thebiographies of mathematicians whohave contributed to the development ofalgebraic number theory are given atthe end of each chapter. There are over320 exercises, an extensive index, andhelpful location guides to theorems andlemmas in the text.Contents: Introduction; 1. Integraldomains; 2. Euclidean domains;3. Noetherian domains; 4. Elements integralover a domain; 5. Algebraic extensions of afield; 6. Algebraic number fields; 7. Integralbases; 8. Dedekind domains; 9. Norms ofideals; 10. Decomposing primes in anumber field; 11. Units in real quadraticfields; 12. The ideal class group;13. Dirichlet’s unit theorem;14. Applications to diophantine equations.

2004 253 x 177 mm 446pp 16 tables320 exercises0 521 83250 0 Hardback £65.000 521 54011 9 Paperback £24.99

Approximation byAlgebraic NumbersYann BugeaudUniversité de Strasbourg

An accessible and broad account of theapproximation and classification of realnumbers suited for graduate courses onDiophantine approximation (some 40exercises are supplied), or as anintroduction for non-experts. Specialistswill appreciate the collection of over 50open problems and the comprehensivelist of more than 600 references.Cambridge Tracts in Mathematics, 160

2004 228 x 152 mm 250pp 40 exercises0 521 82329 3 Hardback c. £40.00Publication July 2004

GroupsTopological, Combinatorial andArithmetic AspectsEdited by T. W. MüllerQueen Mary, University of London

Survey and research articles from the1999 Bielefeld conference ontopological, combinatorial andarithmetic aspects of (infinite) groups.All contributions are written in a relaxedand attractive style, accessible tospecialists and also post-graduatestudents, who will find inspiration for anumber of research projects at variouslevels of difficulty.London Mathematical Society Lecture NoteSeries, 311

2004 228 x 152 mm 603pp0 521 54287 1 Paperback £55.00Publication April 2004

Algebra and Number Theory

5

NEW EDITION

LMS PUBLICATION

An Introduction toNoncommutativeNoetherian RingsSecond editionK. R. GoodearlUniversity of California, Santa Barbara

and R. B. Warfield, Jr

This introduction to noncommutativenoetherian rings is intended to beaccessible to anyone with a basicbackground in abstract algebra. It canbe used as a second-year graduate text,or as a self-contained reference.Extensive explanatory discussion isgiven, and exercises are integratedthroughout.London Mathematical Society Student Texts, 61

2004 240pp 375 exercises0 521 83687 5 Hardback c. £65.000 521 54537 4 Paperback c. £22.99Publication July 2004

Heegner Points andRankin L-SeriesEdited by Henri DarmonMcGill University, Montréal

and Shou-wu ZhangColumbia University, New York

A collection of thirteen articles by manyof the leading contributors in the fieldon the history of the Gross-Zagierformula and recent developments. Ittouches on the theory of complexmultipication, automorphic forms, theRankin-Selberg method, arithmeticintersection theory, Iwasawa theory, andother topics related to the Gross-Zagierformula.Mathematical Sciences Research InstitutePublications, 49

2004 234 x 156 mm 400pp0 521 83659 X Hardback c. £45.00Publication June 2004

Dynamics andMechanics

▼ FEATURE TITLE

TEXTBOOK

An Introduction toOrdinary DifferentialEquationsJames C. RobinsonUniversity of Warwick

A first introduction to ordinarydifferential and difference equations.The presentation is very accessible,making the book suited not only formathematicians, but also for scientistsand engineers, for whom the subject isessential. Both exact solution methodsand qualitative approaches are covered,and many illustrative examples areincluded. MATLAB is used to generategraphical representations of solutions:code is supplied for this. Exercises areplentiful and worked solutions areavailable for teachers.

• Ideal for undergraduate mathematicsstudents

• Solutions to exercises available tolecturers from solutions

• Full of illustrations, worked examples,exercises and accompanying MATLABcode

Contents: Introduction; Part I. First OrderDifferential Equations: 1. Radioactive decayand carbon dating; 2. Integration variables;3. Classification of differential equations;4. Graphical representation of solutionsusing MATLAB; 5. ‘Trivial’ differentialequations; 6. Existence and uniqueness ofsolutions; 7. Scalar autonomous ODEs;8. Separable equations; 9. First order linearequations and the integrating factor;10. Two ‘tricks’ for nonlinear equations; PartII. Second Order Linear Equations WithConstant Coefficients: 11. Second orderlinear equations: general theory;12. Homogeneous 2nd order linear ODEs;13. Oscillations; 14. Inhomogeneous 2ndorder linear equations; 15. Resonance;16. Higher order linear equations; Part III.Linear Second Order Equations WithVariable Coefficients: 17. Reduction oforder; 18. The variation of constantsformula; 19. Cauchy-Euler equations;20. Series solutions of second order linearequations; Part IV. Numerical Methods andDifference Equations: 21. Euler’s method;22. Difference equations; 23. Nonlinear firstorder difference equations; 24. The logisticmap; Part V. Coupled Linear Equations:25. Vector first order equations and higherorder equations; 26. Explicit solutions ofcoupled linear systems; 27. Eigenvalues andeigenvectors; 28. Distinct real eigenvalues;29. Complex eigenvalues; 30. A repeated

real eigenvalue; 31. Summary of phaseportraits for linear equations; Part VI.Coupled Nonlinear Equations: 32. Couplednonlinear equations; 33. Ecological models;34. Newtonian dynamics; 35. The ‘real’pendulum; 36. Periodic orbits; 37. TheLorenz equations; 38. What next?.

2004 247 x 174 mm 414pp 140 line diagrams 7 half-tones120 exercises0 521 82650 0 Hardback £65.000 521 53391 0 Paperback £24.99

Inside OutInverse Problems andApplicationsEdited by Gunther UhlmannUniversity of Washington

In this book, leading experts in thetheoretical and applied aspects ofinverse problems offer extended surveyson several important topics in moderninverse problems, such as microlocalanalysis, reflection seismology,tomography, inverse scattering, and X-ray transforms.Mathematical Sciences Research InstitutePublications, 47

2004 228 x 152 mm 412pp0 521 82469 9 Hardback £50.00

Reciprocity inElastodynamicsJan AchenbachNorthwestern University, Illinois

Professor Achenbach discusses uses ofreciprocity relations for thedetermination of elastodynamic fields,and presents a novel method to solvefor wave fields by reciprocity of theactual field with a so-called virtualsolution, shedding new light on the useof reciprocity relations for dynamic fieldsin elastic bodies.Cambridge Monographs on Mechanics

2004 228 x 152 mm 266pp0 521 81734 X Hardback £45.00

LMS PUBLICATION

GRADUATE TEXT

Topics from One-Dimensional DynamicsKaren M. BrucksUniversity of Wisconsin, Milwaukee

and Henk BruinUniversity of Surrey

One-dimensional dynamics owns manydeep results and avenues of activemathematical research. This bookprovides glimpses into the subject, andnovel connections are drawn with otherresearch areas, with the hope that theresults presented illuminate the beauty

Algebra and Number Theory/Dynamics and Mechanics


6

and excitement of the field. Much ofthis material is covered nowhere else intextbook format.London Mathematical Society Student Texts, 62

2004 228 x 152 mm 300pp0 521 83896 7 Hardback c. £65.000 521 54766 0 Paperback c. £22.95Publication July 2004

SimulatingHamiltonian DynamicsB. LeimkuhlerUniversity of Leicester

and Sebastian ReichImperial College of Science, Technology andMedicine, London

Geometric integrators are timesteppingmethods, designed to exactly satisfyproperties inherent in a system ofdifferential equations. Beginning frombasic principles of geometric integrationand a discussion of the advantageousproperties of such schemes, the bookintroduces a variety of methods andapplications. Includes examples andexcercises.Cambridge Monographs on Applied andComputational Mathematics, 14

2004 228 x 152 mm 392pp 71 line diagrams 5 tables 80 exercises0 521 77290 7 Hardback c. £45.00Publication October 2004

Nonlinear Dynamicsand StatisticalTheories for BasicGeophysical FlowsAndrew MajdaNew York University

and Xiaoming WangIowa State University

An introduction to the fascinating andimportant interplay between nonlineardynamics and statistical theories forgeophysical flows, designed for a multi-disciplinary audience ranging frombeginning graduate students to seniorresearchers. No previous background ingeophysical flows, probability theory,information theory, or equilibriumstatistical mechanics is needed to readthe text.

2004 247 x 174 mm 400pp0 521 83441 4 Hardback c. £35.00Publication June 2004

Statistics,Finance andProbability

▼ FEATURE TITLE

TEXTBOOK

An Introduction toFinancial OptionValuationMathematics, Stochastics andComputationDesmond HighamUniversity of Strathclyde

This is a lively textbookproviding an introduction to financialoption valuation for undergraduatesarmed with a knowledge of first yearcalculus. Written in a series of shortchapters, its self-contained treatmentgives equal weight to appliedmathematics, stochastics andcomputational algorithms. Nobackground in probability, statistics ornumerical analysis required. The bookincludes many figures and examples, aswell as computations based on realstock market data and each chaptercomes with an accompanying stand-alone MATLAB code to illustrate a keyidea. Solutions available [email protected]

• Introduction to all aspects of MathFinance with no prior knowledge ofprobability, statistics or numericalanalysis needed – just basic calculus

• Comes with MATLAB code, exercisesand examples using real stock marketdata

• Solutions available [email protected]

Contents: 1. Introduction; 2. Optionvaluation preliminaries; 3. Randomvariables; 4. Computer simulation; 5. Assetprice movement; 6. Asset price model: partI; 7. Asset price model: part II;8. Black–Scholes PDE and formulas;9. More on hedging; 10. The Greeks;11. More on the Black–Scholes formulas;12. Risk neutrality; 13. Solving a nonlinearequation; 14. Implied volatility; 15. TheMonte Carlo method; 16. The binomialmethod; 17. Cash-or-nothing options;18. American options; 19. Exotic options;20. Historical volatility; 21. Monte Carlopart II: variance reduction by antitheticvariates; 22. Monte Carlo part III: variancereduction by control variates; 23. Finitedifference methods; 24. Finite differencemethods for the Black–Scholes PDE.

2004 247 x 174 mm 294pp 120 exercises 95 figures0 521 83884 3 Hardback £50.000 521 54757 1 Paperback £24.99

Levy Processes andStochastic CalculusDavid ApplebaumNottingham Trent University

For the first time in a book, Applebaumties Lévy processes and stochasticcalculus together.

All the tools needed for the stochasticapproach to option pricing, includingItô’s formula, Girsanov’s theorem andthe martingale representation theoremare described.Cambridge Studies in AdvancedMathematics, 93

2004 228 x 152 mm 416pp 133 exercises0 521 83263 2 Hardback c. £40.00Publication May 2004

Large Deviations andMetastabilityEnzo OlivieriUniversità degli Studi di Roma ‘Tor Vergata’

and Maria Eulalia VaresCentro Brasileiro de Pesquisas Fisicas, Brasil

The book provides a generalintroduction to the theory of largedeviations and a wide overview of themetastable behaviour of stochasticdynamics. Written to be accessible tograduate students, this book providesan excellent route into contemporaryresearch.Encyclopedia of Mathematics and itsApplications, 100

2004 228 x 152 mm 600pp 37 line diagrams0 521 59163 5 Hardback c. £80.00Publication September 2004

StochasticOptimization inContinuous TimeFwu-Ranq ChangIndiana University, Bloomington

This is a rigorous but user-friendly bookon the application of stochastic controltheory to economics. A distinctivefeature of the book is thatmathematical concepts are introducedin a language and terminology familiarto graduate students of economics.‘Written by an expert on stochasticcalculus and optimization and a giftedwriter and economist, this graduate-level textbook provides a rigorous yethighly readable and intuitiveintroduction to stochastic calculus andoptimization with major applications ineconomics. I most highly recommendStochastic Optimization in ContinuousTime to the serious student andpractitioner of economics and finance.’George M. Constantinides, University of Chicago

2004 228 x 152 mm 336pp 8 line diagrams0 521 83406 6 Hardback £35.00Publication June 2004

Dynamics and Mechanics/Statistics, Finance and Probability

7

Discrete ChoiceMethods withSimulationKenneth E. TrainUniversity of California, Berkeley

Describes the new generation ofdiscrete choice methods, focusing onthe many advances that are madepossible by simulation. Researchers usethese statistical methods to examine thechoices that consumers, households,firms, and other agents make. Theprocedures are applicable in manyfields, including energy, transportation,environment, health, and labor.‘Simulation methods have unshackleddiscrete choice analysis, breakingdown the computational barriers touse of plausible, interpretable models.Kenneth Train provides an excellentroad map for both econometricspecialists and practitioners throughthis comprehensive, readabletreatment that pulls together theresearch literature and provides manynew and useful results.’Daniel McFadden, Nobel Laureate,University of California, Berkeley

2003 228 x 152 mm 342pp 44 line diagrams 13 tables0 521 81696 3 Hardback £65.000 521 01715 7 Paperback £22.99

Measure Theory andFilteringAn Introduction withApplicationsLakhdar AggounSultan Qaboos University, Oman

and Robert ElliottUniversity of Calgary

Provides an accessible introduction tomeasure theory and stochastic calculus,and develops into an excellent users’guide to filtering. A complete resourcefor engineers, or anyone with aninterest in implementation of filteringtechniques. Three chapters concentrateon applications from finance, geneticsand population modelling. Also includesexercises.Cambridge Series in Statistical andProbabilistic Mathematics, 15

2004 253 x 177 mm 272pp 10 tables95 exercises0 521 83803 7 Hardback c. £40.00Publication May 2004

Numerics andComputerScience

▼ FEATURE TITLE

NOW AVAILABLE IN C++

Numerical RecipesThe Art of Scientific ComputingSecond editionWilliam H. PressLos Alamos National Laboratory

Saul A. TeukolskyCornell University, New York

William T. VetterlingPolaroid Corporation

and Brian P. FlanneryEXXON Research and Engineering Company

‘It performs a very valuable function innot only providing a correct methodfor a given problem, but in alsohelping the reader identify the mostappropriate method for the task inhand … the C++ style used in thebook is excellent … The book isbeautifully produced, very clear, andeasy to read … This is a book thatevery computer laboratory and everyserious scientist should read.’Compuing Reviews

‘These books are a must for anyonedoing scientific computing.’Journal of the American Chemical Society

‘This encyclopedic book should be read(or at least owned) not only by thosewho must roll their own numericalmethods, but by all who must useprepackaged programs.’New Scientist

Numerical Recipes in C++ (Second Edition)1032pp0 521 75033 4 Hardback £45.00Numerical Recipes in C(Second Edition)1020pp0 521 43108 5 Hardback £45.00Numerical Recipes in Fortran 77(Second Edition)992pp0 521 43064 X Hardback £45.00Numerical Recipes in Fortran 90(Second Edition)576pp0 521 57439 0 Hardback £35.00

CD-ROM

Numerical RecipesCode CD-ROM withSingle-Screen LicenseIncludes Source Code for NumericalRecipes in C and C++ plus manyextras. Multi-language CDs alsoinclude code for Fortran 77, Fortran90, Pascal, BASIC, Lisp and Modula 2Second edition

William H. PressLos Alamos National Laboratory


William T. VetterlingPolaroid Corporation


C and C++ code with Windows orMacintosh Single Screen License0 521 75037 7 CD-ROM £35.00 + VATMulti-Language CD with UNIX SingleScreen License0 521 57607 5 CD-ROM £100.00 + VATMulti-Language CD with Windows, DOS,or Macintosh Single Screen License0 521 75035 0 CD-ROM £35.00 + VAT

Numerical RecipesExample Book (C++)The Art of Scientific ComputingSecond editionWilliam T. VetterlingPolaroid Corporation

William H. PressLos Alamos National Laboratory



Illustrates how to use Numerical Recipescode, giving useful and practicalexamples

Numerical Recipes Example Book (C++) (Second Edition)330pp0 521 75034 2 Paperback £22.99Numerical Recipes Example Book(Fortran) (Second Edition)256pp0 521 43721 0 Paperback £22.99Numerical Recipes Example Book (C)(Second Edition)336pp0 521 43720 2 Paperback £24.99

For more information on all ourNumerical Recipes products, pleasevisit:www.cambridge.org/numericalrecipes

Statistics, Finance and Probability/Numerics and Computer Science


8

▼ FEATURE TITLE

GRADUATE TEXTBOOK

Convex OptimizationStephen BoydStanford University, California

and Lieven VandenbergheUniversity of California, Los Angeles

Convex optimization problems arisefrequently in many fields includingcircuit design, financial modelling, signalprocessing, networking andeconometrics. This book provides acomprehensive introduction to thesubject, and shows in detail how suchproblems can be solved numericallywith great efficiency. The focus of thebook is on recognizing convexoptimization problems and then findingthe most appropriate technique forsolving them. It contains many workedexamples and homework exercises andwill appeal to students, researchers andpractitioners in fields such asengineering, computer science,mathematics, statistics, finance, andeconomics.

• Gives comprehensive details on howto recognize convex optimizationproblems in a wide variety of settings

• Provides a broad range of practicalalgorithms for solving real problems

• Contains hundreds of workedexamples and homework exercises

Contents: Preface; 1. Introduction; Part I.Theory: 2. Convex sets; 3. Convex functions;4. Convex optimization problems;5. Duality; Part II. Applications:6. Approximation and fitting; 7. Statisticalestimation; 8. Geometrical problems;Part III. Algorithms: 9. Unconstrainedminimization; 10. Equality constrainedminimization; 11. Interior-point methods;Appendices.

2004 246 x 189 mm 730pp 337 exercises178 figures0 521 83378 7 Hardback £45.00Publication March 2004

LMS PUBLICATION

Foundations ofComputationalMathematics,Minneapolis 2002Edited by Felipe CuckerCity University of Hong Kong

Ron DeVoreUniversity of South Carolina

Peter OlverUniversity of Minnesota

and Endre SuliUniversity of Oxford

The Foundations of ComputationalMathematics meetings are a platformfor cross-fertilization between numerical

analysis, mathematics and computerscience. This volume contains theplenary presentations, given by some ofthe leading authorities in the world.Topics surveyed range from optimizationto algebra, image processing todifferential equations, quantumcomplexity to geometry.London Mathematical Society Lecture NoteSeries, 312

2004 228 x 152 mm 220pp 9 figures0 521 54253 7 Paperback c. £30.00Publication March 2004

Foundations ofCryptographyVolume 2: Basic ApplicationsOded GoldreichWeizmann Institute of Science, Israel

Cryptography is concerned with theconceptualization, definition andconstruction of computing systems thataddress security concerns. The design ofcryptographic systems must be based onfirm foundations. Building on the basictools presented in the first volume, thissecond volume of Foundations ofCryptography contains a rigorous andsystematic treatment of three basicapplications: Encryption, Signatures, andGeneral Cryptographic Protocols. It issuitable for use in a graduate course oncryptography and as a reference bookfor experts. The author assumes basicfamiliarity with the design and analysisof algorithms; some knowledge ofcomplexity theory and probability is alsouseful.

• Rigorous and systematic treatment ofcryptography, focused on conceptsand ideas

• Lots of exercises and examples

• Suitable for experts as well asbeginners who have a background intheory of computation

Contents: Volume II: Basic Applications:5. Encryption schemes; 6. Signatures andmessage authentication; 7. Generalcryptographic protocols; C. Correction andadditions to Volume I.

2004 253 x 177 mm 432pp 13 line diagrams 90 exercises0 521 83084 2 Hardback c. £42.50Publication August 2004

ALSO AVAILABLE

Foundations ofCryptographyVolume 1: Basic ToolsOded GoldreichWeizmann Institute of Science, Israel

Focuses on the basic mathematical toolsneeded for cryptographic design:computational difficulty (one-wayfunctions), pseudorandomness and zero-knowledge proofs.

2001 228 x 152 mm 392pp0 521 79172 3 Hardback £45.00

Collocation Methodsfor Volterra Integraland Related FunctionalEquationsHermann BrunnerMemorial University of Newfoundland

The first comprehensive guide to theanalysis of collocation methods for awide class of initial-value problems,including equations with delayarguments. It describes importantproblems and directions for futureresearch. Also includes numerousexercises, a vast bibliography withhistorical commentary, and importantapplications to modelling biological andphysical phenomena.Cambridge Monographs on Applied andComputational Mathematics, 15

2004 228 x 152 mm 500pp 70 line diagrams0 521 80615 1 Hardback c. £65.00Publication October 2004

Modern SignalProcessingEdited by Daniel N. RockmoreDartmouth College, New Hampshire

and Dennis M. Healy Jr.University of Maryland, College Park

Signal processing is ubiquitous inmodern technology. Its mathematicalbasis and many areas of application arethe subject of this book, based on aseries of graduate-level lectures held atthe Mathematical Sciences ResearchInstitute. Emphasis is on currentchallenges, new techniques adapted tonew technologies, and certain recentadvances in algorithms and theory.Mathematical Sciences Research InstitutePublications, 46

2004 234 x 156 mm 352pp0 521 82706 X Hardback £45.00Publication May 2004

Numerics and Computer Science

9

MathematicalPhysics

NEW EDITION

TEXTBOOK

The Geometry ofPhysicsAn IntroductionSecond editionTheodore FrankelUniversity of California, San Diego

This book is intended to provide aworking knowledge of those parts ofexterior differential forms, differentialgeometry, algebraic and differentialtopology, Lie groups, vector bundles andChern forms that are essential for adeeper understanding of both classicaland modern physics and engineering.This book will be useful to graduate andadvanced undergraduate students ofphysics, engineering and mathematics. Itcan be used as a course text or for selfstudy.Contents: Preface; Part I. Manifolds,Tensors and Exterior Forms: 1. Manifoldsand vector fields; 2. Tensors and exteriorforms; 3. Integration of differential forms;4. The Lie derivative; 5. The Poincaré lemmaand potentials; 6. Holonomic and non-holonomic constraints; Part II. Geometryand Topology: 7. R3 and Minkowski space;8. The geometry of surfaces in R3;9. Covariant differentiation and curvature;10. Geodesics; 11. Relativity, tensors, andcurvature; 12. Curvature and topology:Synge’s theorem; 13. Betti numbers and deRham’s theorem; 14. Harmonic forms; PartIII. Lie Groups, Bundles and Chern Forms:15. Lie groups; 16. Vector bundles ingeometry and physics; 17. Fiber bundles,Gauss-Bonnet, and topologicalquantization; 18. Connections andassociated bundles; 19. The Dirac equation;20. Yang-Mills fields; 21. Betti numbers andcovering spaces; 22. Chern forms andhomotopy groups; Appendix A. Forms incontinuum mechanics; Appendix B.Harmonic chains and Kirchhoff’s circuitlaws; Appendix C. Symmetries, quarks, andmeson masses; Appendix D.Representations and hyperelastic bodies;Appendix E: Orbits and Morse-Bott theoryin compact Lie groups.

2004 720pp 120 line diagrams0 521 83330 2 Hardback £80.000 521 53927 7 Paperback £30.00

ElectromagneticTheory andComputationA Topological ApproachPaul W. GrossMSRI, Berkeley

and P. Robert KotiugaBoston University

This book explores the connectionbetween algebraic structures intopology and computational methodsfor 3-dimensional electric and magneticfield computation. Although aconnection between topology andelectromagnetism has been knownsince the 1800s, there has been verylittle exposition of it. This book takessteps to close that gap.Mathematical Sciences Research InstitutePublications, 48


ThermodynamicFormalismSecond editionDavid RuelleInstitut des Hautes Études Scientifiques, France

Reissued in the CambridgeMathematical Library this classic bookoutlines the theory of thermodynamicformalism. Background material onphysics has been collected inappendices to help the reader. Containsa new preface specially written for thisedition by the author, updates on openproblems and exercises.Cambridge Mathematical Library

2004 228 x 152 mm 200pp0 521 54649 4 Paperback c. £19.95Publication April 2004

REVISED EDITION

Science from FisherInformationA UnificationB. Roy FriedenUniversity of Arizona

This second edition of Physics fromFisher Information has been completelyrewritten and includes much newmaterial. This unified interpretation ofthe laws of science will be fascinatingto students and researchers from allareas of science, particularly those whodesire a new mathematical tool for theirfield.‘... a stunningly clear interpretation ofthe laws of physics.’Robert Matthews, New Scientist

2004 247 x 174 mm 492pp 30 line diagrams 2 half-tones 5 tables0 521 81079 5 Hardback £80.000 521 00911 1 Paperback £40.00Publication May 2004

A Relativist’s ToolkitThe Mathematics of Black-HoleMechanicsEric PoissonUniversity of Guelph, Ontario

This textbook provides the advancedstudent with practical tools for thecomputation of many physicallyinteresting quantities in generalrelativity and gravitational physics. Thecontext is provided by the mathematicaltheory of black holes, one of the mostelegant, successful and relevantapplications of general relativity.

2004 247 x 174 mm 240pp 39 line diagrams 3 tables 46 exercises0 521 83091 5 Hardback £35.00Publication April 2004

NEW EDITION

Theoretical Conceptsin PhysicsAn Alternative View ofTheoretical Reasoning in PhysicsSecond editionMalcolm S. LongairUniversity of Cambridge

A highly original, and truly novel,approach to theoretical reasoning inphysics. Lively and accessible, it isintended as a supplement to the finalyears of an undergraduate physicscourse. The first edition has beenenjoyed by many generations ofstudents; this new edition extends anddeepens all the topics.

2003 247 x 174 mm 588pp 130 line diagrams 37 half-tones 15 tables0 521 82126 6 Hardback £80.000 521 52878 X Paperback £30.00

The Theory of ComplexAngular MomentaGribov Lectures on TheoreticalPhysicsV. N. Gribov

A rigorous introduction to the theory ofcomplex angular momenta, based onthe methods of field theory. This is anEnglish translation of the famous lecturecourse given by Vladimir Gribov in1969. Besides their historicalsignificance, these lectures are highlyrelevant to modern research intheoretical physics.Cambridge Monographs on MathematicalPhysics

2003 247 x 174 mm 310pp 265 line diagrams0 521 81834 6 Hardback £65.00

Mathematical Physics


10

General andRecreationalMaths

GaussWaldo Dunnington

This biography of Gauss, Germany’sgreatest mathematician, is by far themost comprehensive in English. Longout-of-print and almost impossible tofind on the used book market, thisvaluable piece of scholarship is beingreissued in an augmented form withadditional material by the eminent Britishmathematical historian, Jeremy Gray.Spectrum

2004 228 x 152 mm 600pp0 883 85538 0 PaperbackPublication July 2004

Mathematical CirclesQuadrants I, II, III, IVHoward W. Eves

Howard Eves has collected stories andanecdotes about mathematics andmathematicians, gathering them togetherin six Mathematical Circles books, nowreissued as a three-volume edition.Teachers of mathematics can read thesestories and anecdotes for their ownenjoyment, and use them in the classroomto add entertainment and inspire students.‘The 360 different anecdotes compiledin these delightful volumes will addzest to every teacher’s mathematicalclasses. There are appropriate selectionsfor all levels of students. They are short,succinct, and at the same time given insimple settings which enable the readerto identify with the story and itsimplications. Here is presented the kindof material that makes the difference tothe undecided student. I highlyrecommend you putting a copy next toyour worktable.’The Mathematics TeacherMathematical Association of America

2004 235 x 156 mm 270pp 37 line diagrams 1 half-tone0 883 85542 9 Hardback c. £23.99

Mathematical CirclesRevisited and Mathematical CirclesSquaredHoward W. EvesMathematical Association of America

2004 235 x 157 mm 373pp 84 line diagrams0 883 85543 7 Hardback c. £23.99

Mathematical CirclesAdieu and Return to MathematicalCirclesHoward W. EvesMathematical Association of America

2004 235 x 157 mm 361pp 68 line diagrams 6 half-tones0 883 85544 5 Hardback c. £23.99

777 MathematicalConversation StartersJohn de PillisUniversity of California, Riverside

Accessible to mathematicians and non-mathematicians, 777 MathematicalConversation Starters shows there existfew degrees of separation betweenmathematics and topics that provokeinteresting conversations. The topicspresented include thought-provokingconversation starters. The format isunique, too: Topics (conversationstarters) are numbered, extensivelycross-referenced, and divided into smalldigestible units.‘Instructive, amusing, provocative, andinsidiously addictive, 777 MathematicalConversation Starters serves up amplefodder for feeding mathematics intoclassroom discussions or even cocktail-party chatter.’Ivars Peterson, Science NewsMathematical Association of America

2004 228 x 152 mm 319pp 146 line diagrams 1 half-tone0 883 85540 2 Paperback c. £23.99

TEXTBOOK

Talking withComputersExplorations in the Science andTechnology of ComputingThomas L. DeanBrown University, Rhode Island

In this lively series of essaysfor students and general readers, TomDean explores interesting fundamentaltopics in computer science, from digitallogic and machine language to artificialintelligence and searching the WorldWide Web. Along the way, he conveyshis fascination with computers andenthusiasm for working in a field thathas changed almost every aspect of ourdaily lives.Contents: 1. Talking with computers;2. The shell game; 3. Keeping track of yourstuff; 4. Don’t sweat the syntax;5. Computational muddles; 6. Gettingoriented; 7. Thanks for sharing; 8. You’vegot (junk) mail; 9. Modern architecture;10. Do robots sleep; 11. Under the hood;12. Analyze this; 13. Forest for the trees;14. Searching the wild web; 15. Darwin’sdangerous algorithm; 16. Ain’t nobody herebut us machines.

2004 246 x 189 mm 320pp 30 line diagrams 1 half-tone 4 tables0 521 83425 2 Hardback £55.000 521 54204 9 Paperback £19.99Publication May 2004

The Transformation ofMathematics in theEarly MediterraneanWorldFrom Problems to EquationsReviel NetzStanford University, California

This book analyzes the historicaltransformation of early mathematics,from a Greek practice based on thelocalized solution to an Islamic practicebased on the systematic approach. Thetransformation is accounted for in termsof changing social practices, therebyoffering a radically new interpretation ofthe historical trajectory of mathematics.Cambridge Classical Studies

2004 216 x 138 mm 232pp 18 figures0 521 82996 8 Hardback £45.00Publication June 2004

The Works ofArchimedesTranslation and CommentaryVolume 1: The Two Books On the Sphereand the CylinderEdited and translated by Reviel NetzStanford University, California

This is Volume 1 of the firstauthoritative translation of Archimedes’works into English. Also provided are ascientific edition of the diagrams, atranslation of the ancient commentatorEutocius and a commentary, whereattention is paid to the cognitive andaesthetic nature of Archimedes’mathematical practice.

2004 247 x 174 mm 386pp 108 line diagrams0 521 66160 9 Hardback £75.00Publication March 2004

Architecture andMathematics inAncient EgyptCorinna RossiUniversity of Cambridge

In this book, architect and EgyptologistCorinna Rossi explores the use ofnumbers and geometrical figures by theAncient Egyptians in their architecturalprojects and buildings. Highly illustratedwith plans, diagrams and figures, thisbook is essential reading for all scholarsof Ancient Egypt and the architecture ofancient cultures.

2004 247 x 174 mm 288pp 102 line diagrams 9 tables0 521 82954 2 Hardback c. £60.00Publication April 2004

General and Recreational Maths

11

Numbers, Language,and the Human MindHeike WieseHumboldt-Universität zu Berlin

This book discusses the relationshipbetween numerical thinking and thehuman language faculty, providingpsychological, linguistic, andphilosophical perspectives on number,its evolution, and its development inchildren.

2003 228 x 152 mm 358pp 4 tables79 figures0 521 83182 2 Hardback £50.00

Journals

▼ FEATURE TITLE

JOURNAL

CompositioMathematicaManaging Editors:Bas EdixhovenLeiden University

and Gerard van der GeerUniversity of Amsterdam

Produced, marketed and distributed forthe London Mathematical Society

Compositio Mathematica is publishedby the London Mathematical Society onbehalf of the Foundation CompositioMathematica. The aim of the journal isto publish first-class mathematicalresearch papers that traditionally focuson the mainstream of puremathematics. This includes the fields ofalgebra, number theory, topology,algebraic and analytic geometry and(geometric) analysis. Papers on othertopics are welcome, if they are ofinterest, not only to specialists. Allcontributions are required to meet highstandards of quality and originality andare carefully screened by experts in thefield.Subscriptions

Volume 140 in 2004: January, March, May,July, September and NovemberInstitutions print and electronic: £750/€1200/$1200Institutions electronic only: £712/€1140/$1140Print ISSN 0010-437XElectronic ISSN 1570-5846

JOURNAL

Bulletin of the LondonMathematical SocietyEditors: Gordon BlowerLancaster University

Amanda ChelwyndLancaster University

and Richard GreenUniversity of Colorado


The Bulletin publishes important shortresearch articles covering the whole ofpure mathematics, together with somemore applied areas of analysis,theoretical computing and mathematicalphysics. It also publishes authoritativesurvey articles and advancedexpositions, often of an extensive naturereviewing all major developments in animportant area over many years.Occasional biographical articles arepublished on the lives and mathematicalachievements of distinguishedmathematicians. The Bulletin has asubstantial book review section,including books in applied mathematicsand statistics as well as puremathematics.Subscriptions

Volume 36 in 2004: January, March, May, July,September and NovemberInstitutions print and electronic: £216/$366Institutions electronic only: £206/$351Special arrangements exist for LMS members.Print ISSN 0024-6093Electronic ISSN 1469-2120

JOURNAL

Journal of the LondonMathematical SocietyEditors: Francis E. BurstallUniversity of Bath

Jonathan PartingtonUniversity of Leedsand John F. TolandUniversity of Bath


The Journal of the London MathematicalSociety publishes papers (normally11–21 pages each) on the wholespectrum of mathematics. The widescope of the journal may be judgedfrom the substantial breadth of researchinterests covered by the EditorialAdvisory Board. Visit:http://lms.ac.uk/publications/advisers.html

SubscriptionsVolumes 69-70 in 2004: February, April, June,August, October and DecemberInstitutions print and electronic: £470/$798Institutions electronic only: £448/$766Special arrangements exist for members of theLMS.Print ISSN 0024-6107Electronic ISSN 1469-7750

JOURNAL

Journal of theInstitute ofMathematics ofJussieuEditor: Colette MoeglinUniversité Paris VI

Published for the Institute ofMathematics of Jussieu

The Journal of the Institute ofMathematics of Jussieu is a publicationcovering all domains in puremathematics. It will include importantresearch articles from areas such asoperator algebra, number theory,algebraic and Lie groups, differentialand symplectic geometry, partialdifferential equations, Banach spaces,potential theory, mathematical physics,and probability. Logic and appliedmathematics will also be considered,particularly where direct connections topure mathematics are clear. The Journalwill readily accept articles in alllanguages though the standard will beEnglish, and its international editorialboard naturally draws upon the broadexpertise of the prestigious JussieuMathematical Institute.Subscriptions

Volume 3 in 2004: January, April, July andOctoberInstitutions print and electronic: £132/$198Institutions electronic only: £114/$170Institutions print only: £120/$180Print ISSN 1474-7480Electronic ISSN 1475-3030

JOURNAL

Proceedings of theLondon MathematicalSocietyEditors:Constantin TelemanUniversity of Cambridge, UK

and Burt TotaroUniversity of Cambridge, UK


The Proceedings of the LondonMathematical Society has beenpublished since 1865, and todaymaintains its rank as one of the mosteminent international mathematicsjournals. The Proceedings publishes

Journals


12

longer research papers, covering a widerange of mathematical topics, includingreal and complex analysis, differentialequations and related areas, topology,geometry, logic, probability andstatistics, algebra, number theory andcombinatorial theory.Subscriptions

Volume 88-89 in 2004: January,March, May,July, September and NovemberInstitutions print and electronic: £512/$870Institutions electronic only: £488/$834The following receive a subscription as partof their society/organization membership:London Mathematical Society (LMS).Special arrangements exist for LMS members.Print ISSN 0024-6115Electronic ISSN 1460-244XJOURNAL

JOURNAL

LMS Journal ofComputation andMathematicshttp://www.lms.ac.uk/jcmEditor-in-Chief:J. H. DavenportUniversity of Bath

Marketed for the London MathematicalSociety

The new, electronic-only LMS Journal ofComputation and Mathematicspublishes papers on the computationalaspects of mathematics, mathematicalaspects of computation, and papers inmathematics which benefit from beingelectronic on grounds of their format. Itensures rapid publication afteracceptance of a paper, in high-qualityPDF. There are also facilities for addingupdates and discussions to papers,while the main text of each paper isguaranteed to remain unaltered.Hyperlinks are provided for cross-references within and between papers.Access is free until further notice. Go tohttp://www.lms.ac.uk/jcm for furtherdetails.Subscriptions

Volume 6 in 2003: Electronic journal,published incrementally throughout the year.Electronic only journal, published incrementallythroughout the year. LMS Journal ofComputation and Mathematics is currentlyfree to all users. Go tohttp://www.lms.ac.uk/jcmPrint ISSN 1461-1570

JOURNAL

Ergodic Theory andDynamical SystemsManaging Editors:S. van StrienUniversity of Warwick

and P. WaltersUniversity of Warwick

Ergodic Theory and Dynamical Systemsfocuses on a rich variety of researchareas which, although diverse, employas common themes global dynamicalmethods. The journal provides a focusfor this important and flourishing areaof mathematics and brings togethermany major contributions in the field.The journal acts as a forum for centralproblems of differential geometry,number theory, operator algebras,topological, differential and symbolicdynamics, and celestial and statisticalmechanics.Subscriptions

Volume 24 in 2004: February, April, June,August, October and DecemberInstitutions print and electronic: £468/$750Institutions electronic only: £402/$642Institutions print only: £420/$666London Mathematical Society, AmericanMathematical Society: £144/$230Print ISSN 0143-3857Electronic ISSN 1469-4417

JOURNAL

MathematicalProceedings of theCambridgePhilosophical SocietyEditor: C. B. ThomasUniversity of Cambridge

Mathematical Proceedings isone of the few high-quality journalspublishing original research papers thatcover the whole range of pure andapplied mathematics, theoretical physicsand statistics. All branches of puremathematics are covered, in particularlogic and foundations, number theory,algebra, geometry, algebraic andgeometric topology, classical andfunctional analysis, differentialequations, probability and statistics. Onthe applied side, mechanics,mathematical physics, relativity andcosmology are included.Subscriptions

Volumes 136-137 in 2004: January, March,May, July, September and NovemberInstitutions print and electronic: £388/$636Institutions electronic only: £330/$540Institutions print only: £348/$570Special arrangements exist for members ofCambridge Philosophical Society.Print ISSN 0305-0041Electronic ISSN 1469-8064

JOURNAL

Proceedings of theEdinburghMathematical SocietyEditor:G. A. WatsonUniversity of Dundee

Published for the EdinburghMathematical Society

The Edinburgh Mathematical Societywas founded in 1883 and over theyears, has evolved into the principalsociety for the promotion ofmathematics research in Scotland. TheSociety has published its Proceedingssince 1884. This contains researchpapers on topics in a broad range ofpure and applied mathematics, togetherwith a number of topical book reviews.Subscriptions

Volume 47 in 2004: February, June, OctoberInstitutions print and electronic: £160/$264Institutions electronic only: £135/$225Institutions print only: £145/$240Print ISSN 0013-0915Electronic ISSN 1464-3839

JOURNAL

Glasgow MathematicalJournalEditor-in-Chief:A. W. MasonUniversity of Glasgow

Published for the GlasgowMathematical Journal Trust

The Glasgow Mathematical Journalpublishes original research papers inany branch of pure and appliedmathematics. An international journal,its policy is to feature a wide variety ofresearch areas, which in recent issueshave included ring theory, group theory,functional analysis, combinatorics,differential equations, differentialgeometry, number theory, algebraictopology, and the application of suchmethods in applied mathematics.Subscriptions

Volume 46 in 2004: February, May andSeptemberInstitutions print and electronic: £132/$222Institutions electronic only: £112/$190Institutions print only: £119/$200The following receive a subscription as part oftheir society/organization membership:Glasgow Mathematical Association, GlasgowMathematical Journal Trust or relevant LMSmembers.Print ISSN 0017-0895Electronic ISSN 1469-509X

Journals

13

JOURNAL

Acta Numerica 2004Volume 13Arieh IserlesUniversity of Cambridge

‘Acta Numerica is a fineachievement and I think wecan expect to see it for many years tocome. It sets itself laudable andimportant goals and has, to a largeextent, achieved them. I believe thatthe volumes are of enormous benefitto our subject ... The editorial boardshould be applauded for having thevision and drive necessary to createand sustain such a high qualitypublication ... No mathematics libraryis complete without this annualpublication, and I urge everyoneworking in numerical mathematics andscientific computing to read it.’Andrew Stuart, SIAM Review


JOURNAL

Combinatorics,Probability &ComputingEditor-in-Chief: BélaBollobásUniversity of Memphis

Published bimonthly, Combinatorics,Probability & Computing is devoted tothe three areas of combinatorics,probability theory and theoreticalcomputer science. The topics coveredinclude: classical and algebraic graphtheory, extremal set theory, matroidtheory, probabilistic methods andrandom combinatorial structures;combinatorial probability and limittheorems for random combinatorialstructures; the theory of algorithms,randomised algorithms, probabilisticanalysis of algorithms, computationallearning theory and optimisation.Subscriptions

Volume 13 in 2004: January, March, May, July,September and NovemberInstitutions print and electronic: £206/$330Institutions electronic only: £175/$280Institutions print only: £186/$298Print ISSN 0963-5483Electronic ISSN 1469-2163

JOURNAL

Journal of FluidMechanicsEditors: Stephen H. DavisNorthwestern University

and T. J. PedleyUniversity of Cambridge

Journal of Fluid Mechanics is theleading international journal in the fieldand is essential reading for all those

concerned with developments in fluidmechanics. It publishes authoritativearticles covering theoretical,computational and experimentalinvestigations of all aspects of themechanics of fluids. Each issue containspapers on both the fundamental aspectsof fluid mechanics, and theirapplications to other fields such asaeronautics, astrophysics, physiology,chemical and mechanical engineering,hydraulics, meteorology, oceanography,geology, acoustics and combustion.Subscriptions

Volumes 498-521 in 2004: twice monthlyInstitutions print and electronic: £1314/$2098Institutions electronic only: £1130/$1805Institutions print only: £1184/$1890Individuals print plus electronic: £498/$798Print ISSN 0022-1120Electronic ISSN 1469-7645

▼ FEATURE TITLE

JOURNAL

European Journal ofApplied MathematicsEditors-in-Chief:J. R. Ockendon, FRSUniversity of Oxford

S. D. HowisonUniversity of Oxford

A. A. LaceyHeriot-Watt University

and M. J. WardUniversity of British Columbia

EJAM is a flourishing journal for originalwork in areas of mathematics in whichan understanding of the applicationrequires the use of new and interestingmathematical ideas. The advent ofpowerful user-friendly computer codesin science and industry has increasinglyled research workers to pose theirproblems in mathematical terms. Suchactivity frequently leads to a need fornew mathematical analysis at a highlevel. EJAM focuses on mathematicsinspired by real-world applications,fostering the development of theoreticalmethods with broad areas ofapplicability.Subscriptions

Volume 15 in 2004: February, April, June,August, October and DecemberInstitutions print and electronic: £264/$420Institutions electronic only: £228/$360Institutions print only: £238/$380European Consortium on Mathematics inIndustry, Society of Industrial and AppliedMathematics, Gesellschaft für AngewandteMathematik und Mechanik, Société deMathématiques Appliquées et Industrielles,Institute of Mathematics and its Applications,London Mathematical Society: £86/$138Print ISSN 0956-7925Electronic ISSN 1469-4425

JOURNAL

MathematicalStructures inComputer ScienceEditor: G. LongoCNRS and Ecole NormaleSupérieure, Paris

Mathematical Structures inComputer Science is a journal oftheoretical computer science whichfocuses on the application of ideas fromthe structural side of mathematics andmathematical logic to computer science.The journal aims to bridge the gapbetween theoretical contributions andsoftware design, publishing originalpapers of a high standard and broadsurveys with original perspectives in allareas of computing, provided that ideasor results from logic, algebra, geometry,category theory or other areas of logicand mathematics form a basis for thework.Subscriptions

Volume 14 in 2004: February, April, June,August, October and DecemberInstitutions print and electronic: £268/$426Institutions electronic only: £230/$366Institutions print only: £240/$384Print ISSN 0960-1295Electronic ISSN 1469-8072

JOURNAL

Probability in theEngineering andInformational SciencesEditor: Sheldon M. RossUniversity of California, Berkeley

The primary focus of thejournal is on stochastic modelling in thephysical and engineering sciences, withparticular emphasis on queueing theory,reliability theory, inventory theory,simulation, mathematical finance andprobabilistic networks and graphs.Papers on analytic properties andrelated disciplines are also considered,as well as more general papers onapplied and computational probability, ifappropriate. Readers include academicsworking in statistics, operationsresearch, computer science, engineering,management science and physicalsciences as well as industrialpractitioners engaged intelecommunications, computer science,financial engineering, operationsresearch and management science.Subscriptions

Volume 18 in 2004: January, April, July andOctoberInstitutions print and electronic: £316/$492Institutions electronic only: £275/$428Institutions print only: £280/$435Individuals print plus electronic: £78/$118Print ISSN 0269-9648Electronic ISSN 1469-8951

Journals/Recent Bestsellers


14

RecentBestsellers

▼ FEATURE TITLE

RemarkableMathematiciansFrom Euler to von NeumannIoan JamesUniversity of Oxford

Ioan James introduces and profiles sixtymathematicians, all born between 1700and 1910, an era which sawmathematics freed from its classicalorigins to develop into its modern form.The portrayals, when read in sequence,convey in human terms something ofthe way in which mathematicsdeveloped.‘... can be recommended to allscientists and teachers of mathematics,the history and philosophy ofmathematics, as well as to anyoneinterested in history of science.’European Mathematical Society

Contents: Preface; 1. From Euler toLegendre; 2. From Fourier to Cauchy;3. From Abel to Grassmann; 4. FromKummer to Cayley; 5. From Hermite to Lie;6. From Cantor to Hilbert; 7. From Moore toTakagi; 8. From Hardy to Lefschetz; 9. FromBirkhoff to Alexander; 10. From Banach tovon Neumann; Epilogue; Further reading.

2003 228 x 152 mm 448pp 60 figures0 521 52094 0 Paperback £19.99

GRADUATE TEXT

Algebraic TopologyAllen HatcherCornell University, New York

This introductory textbook is suitable foruse in a first-year graduate course or forself-study, featuring broad coverage ofthe subject and a readable exposition,with many examples and exercises.Along with the basic material onfundamental group and coveringspaces, homology and cohomology,higher homotopy groups, and homotopytheory, the book includes many optionaltopics for which elementary expositionsare hard to find.‘ ... this is a marvellous tome, which isindeed a delight to read. This book isdestined to become very popularamongst students and teachers alike.’Bulletin of the Belgian Mathematical Society

2002 253 x 177 mm 556pp0 521 79540 0 Paperback £20.99

▼ FEATURE TITLE

Indra’s PearlsThe Vision of Felix KleinDavid MumfordBrown University, Rhode Island

Caroline SeriesUniversity of Warwick

and David WrightOklahoma State University

‘I truly enjoyed reading Indra’s Pearls.I am sure that the book will have amajor impact on the way we teachgeometry and dynamics ... a jewel thatwill more than repay the persistentreader’s efforts.’ Science

‘This unique book can serve as apedagogical and visual introduction togroup theory for school children, andyet is just as suitable for professionalmathematicians: I believe that both ofthem would read the book from thebeginning to the end. Finally, it can beused as a book for popularisingscience, but is very different from mostfashionable books on strings, blackholes, etc.: it gives you the joy ofseeing, thinking and understanding.’EMS

Contents: 1. The language of symmetry;2. A delightful fiction; 3. Double spirals andMöbius maps; 4. The Schottky dance;5. Fractal dust and infinite words; 6. Indra’snecklace; 7. The glowing gasket; 8. Playingwith parameters; 9. Accidents will happen;10. Between the cracks; 11. Crossingboundaries; 12. Epilogue; Index; Road map.

2002 246 x 189 mm 416pp 250 half-tones 250 colour plates0 521 35253 3 Hardback £30.00

Recent Bestsellers

15

AAchenbach, J. D. .....................................5Acta Numerica 2004.............................13Aggoun, Lakhdar ....................................7Alaca, Saban ..........................................4Algebraic Topology ...............................14Applebaum, David ..................................6Approximation by Algebraic Numbers......4Archimedes...........................................10Architecture and Mathematics in Ancient

Egypt .................................................10

BBlower, Gordon.....................................11Bollobás, Béla.......................................13Boroczky, K.............................................3Boros, George.........................................1Boyd, Stephen ........................................8Brucks, Karen M. ....................................5Bruin, Henk ............................................5Brunner, Hermann...................................8Bugeaud, Yann .......................................4Bulletin of the London Mathematical

Society...............................................11Burstall, Francis E. ................................11

CCabanes, Marc........................................4Cauchy-Schwarz Master Class, The ..........1Chang, Fwu-Ranq ...................................6Chelwynd, Amanda...............................11Coding Theory ........................................2Collocation Methods for Volterra Integral

and Related Functional Equations ........8Combinatorics, Probability & Computing..13Complex Analysis with MATHEMATICA®1Compositio Mathematica ......................11Convex Optimization...............................8Corti, Alessio ..........................................3Cucker, Felipe..........................................8

DDarmon, Henri ........................................5Davenport, J. H. ....................................12Davis, Stephen H...................................13Dean, Thomas L. ...................................10DeVore, Ron ...........................................8Direct Method in Soliton Theory, The .......2Discrete Choice Methods with

Simulation ...........................................7Duistermaat, J. J......................................1Dunnington, Waldo...............................10Duren, Peter ...........................................1

EEdixhoven, Bas .....................................11Electromagnetic Theory and

Computation........................................9Elementary Euclidean Geometry ..............3Elliott, Robert .........................................7Enguehard, Michel ..................................4Ergodic Theory and Dynamic Systems ....12

European Journal of Applied Mathematics......................................13

Eves, Howard W. ...................................10

FFinite Packing and Covering....................3First Course in Combinatorial

Optimization, A....................................2Flannery, Brian P. ....................................7Foundations of Computational

Mathematics, Minneapolis 2002 ..........8Foundations of Cryptography ..................8Frankel, Theodore....................................9Frieden, B. Roy........................................9

GGauss ...................................................10Geometry of Physics, The.........................9Gibson, C. G. ..........................................3Global Methods for Combinatorial

Isoperimetric Problems .........................3Goldreich, Oded......................................8Goodearl, K. R. .......................................5Green, Richard......................................11Gribov, V. N.............................................9Gross, Paul W..........................................9Groups ...................................................4

HHarmonic Mappings in the Plane ............1Harper, L. H. ...........................................3Hatcher, Allen .......................................14Healy Jr., Dennis M. ................................8Heegner Points and Rankin L-Series ........5Higham, Desmond ..................................6Higher Operads, Higher Categories..........3Hirota, Ryogo .........................................2Howison, S. D. ......................................13Huth, Michael .........................................2

IIndra's Pearls ........................................14Inside Out...............................................5Introduction to Financial OptionValuation, An .......................................6

Introduction to Harmonic Analysis, An ....1Introduction to Noncommutative

Noetherian Rings, An ..........................5Introduction to Ordinary Differential

Equations, An ......................................5Introductory Algebraic Number Theory.....4Irresistible Integrals.................................1Iserles, Arieh .........................................13

JJournal of Fluid Mechanics....................13Journal of the Institute of Mathematics

of Jessieu...........................................11Journal of the London Mathematical

Society...............................................11

KKatznelson, Yitzhak .................................1Kolk, J. A. C.............................................1Kollár, János............................................3Kotiuga, P. Robert ...................................9

LLacey, A. A. ...........................................13Large Deviations and Metastability..........6Lee, Jon ..................................................2Leimkuhler, B. .........................................6Leinster, Tom...........................................3Lévy Processes and Stochastic Calculus ...6Lévy Processes in Lie Groups...................1Liao, Ming ..............................................1Linear Operators and Linear Systems.......2Ling, San ................................................2LMS Journal of Computation and

Mathematics......................................12Logic in Computer Science ......................2Longair, Malcolm S..................................9Longo, G...............................................13

MMajda, Andrew .......................................6Mathematical Circles ............................10Mathematical Proceedings of the

Cambridge Philosophical Society ........12Mathematical Structures in Computer

Science ..............................................13Measure Theory and Filtering ..................7Modern Signal Processing .......................8Moeglin, Colette ...................................11Moll, Victor H..........................................1Müller, T. W. ............................................4Multidimensional Real Analysis ...............1Multidimensional Real Analysis, I.............1Multidimensional Real Analysis, II............1Mumford, David....................................14

NNetz, Reviel ..........................................10Nonlinear Dynamics and Statistical

Theories for Basic Geophysical Flows....6Number Theory and Algebraic Geometry..4Numbers, Language, and the Human Mind

11Numerical Recipes Example Book (C++) .7Numerical Recipes in C++ ......................7Numerical Recipes Multi-Language Code

CD ROM with Windows, DOS, orMacintosh Single-Screen License ..........7

Numerical Recipes Source Code in C andC++ CD ROM with Windows orMacintosh Single-Screen License ..........7

OOckendon, J. R. .....................................13Olivieri, Enzo ..........................................6Olver, Peter .............................................8

Author and Title Index


16

PPartington, Jonathan R......................2, 11Pedley, T. J.............................................13Pillis, John de........................................10Poisson, Eric ...........................................9Press, William H. .....................................7Probability in the Engineering and

Informational Sciences .......................13Proceedings of the Edinburgh

Mathematical Society .........................12Proceedings of the London

Mathematical Society .........................11

RRational and Nearly Rational Varieties.....3Reciprocity in Elastodynamics..................5Reich, Sebastian .....................................6Reid, Miles..............................................4Relativist's Toolkit, A ...............................9Representation Theory of Finite Reductive

Groups ................................................4Robinson, James C..................................5Rockmore, Daniel N. ...............................8Ross, Sheldon M. ..................................13Rossi, Corinna ......................................10Ruelle, David ..........................................9Ryan, Mark .............................................2

SScience from Fisher Information ..............9Series, Caroline .....................................14777 Mathematical Conversation

Starters..............................................10Shaw, William .........................................1Simulating Hamiltonian Dynamics ...........6Singularities of Plane Curves ...................3Skorobogatov, Alexei...............................4Smith, Karen E. .......................................3Steele, J. Michael ....................................1Stochastic Optimization in Continuous

Time ....................................................6Strien, S. van.........................................12Suli, Endre ..............................................8

TTalking with Computers ........................10Teleman, Constantin .............................11Teukolsky, Saul A. ...................................7Theoretical Concepts in Physics ...............9Theory of Complex Angular Momenta, The

9Thermodynamic Formalism......................9Thomas, C. B.........................................12Tillmann, U. L..........................................3Toland, John F.......................................11Topics from One-Dimensional Dynamics ..5Topology, Geometry and Quantum Field

Theory .................................................3Totaro, Burt ..........................................11Tour Through Mathematical Logic, A .......2Train, Kenneth E......................................7Transformation of Mathematics in the

Early Mediterranean World, The..........10

UUhlmann, Gunther ..................................5

VVandenberghe, Lieven.............................8Vares, Maria Eulalia ................................6Vetterling, William T. ...............................7

WWall, C. T. C. ..........................................3Walters, P..............................................12Wang, Xiaoming .....................................6Warfield, Jr, R. B......................................5Watson, G. A ........................................12Wiese, Heike.........................................11Williams, Kenneth S. ...............................4Wolf, Robert ...........................................2Works of Archimedes, The .....................10Wright, David .......................................14

XXing, Chaoping.......................................2

ZZhang, Shou-wu .....................................5

Author and Title index

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