www.cambridge.org/mathematics 2003

MathematicsSpring

Analysis andProbability

Logic, Foundationsand Combinatorics

Algebra, Geometryand Number Theory

LMS Publications

MathematicalPhysics

Dynamics

Mechanics

Statistics, Probabilityand Finance

Numerical Analysisand Computing

General andRecreational Maths

Bestsellers

ContentsAnalysis and Probability 1Logic, Foundations

and Combinatorics 2Algebra, Geometry

and Number Theory 2LMS Publications 3Mathematical Physics 5Dynamics 6Mechanics 7Statistics, Probability and Finance 8Numerical Analysis and

Computing 10General and Recreational Maths 12Bestsellers 15Author and Title Index 15

HighlightsNumerical Recipes in C++ (Second Edition)William H. Press, Saul A. Teukolsky, William T.Vetterling and Brian P. Flannery

• The outstanding resource for ScientificComputing, now in C++

• New sections on Object-Oriented ScientificComputing

• Fully compliant with new ANSI/ISO Standard forC++

• C++ example book and CDs with source codealso available

➤ See page 10 for more information

Differential Equations A.C. King, J. Billingham and S. Otto

• Class-tested with special attention given to areasstudents find hard

• Covers Linear, Nonlinear, Ordinary and PartialDifferential Equations

• Extensive exercises with solutions available toinstructors from solutions@cambridge.org

➤ See page 6 for more information

Probability Theory E. T. Jaynes

• The eagerly anticipated graduate introduction toprobability theory

• Unique interpretation of probability theory,containing new and original work by the author

• Applications of probability theory to a wide rangeof problems in physics and other areas

➤ See page 8 for more information

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.

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access to the electronic version of the journal during 2003. 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.

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(dtranah@cambridge.org)

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All other enquiries, phone +44 (0) 1223 312393or email Information@cambridge.org

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.

➤ See page 12 for more information

Analysis and Probability 1

Textbook

A Course in Modern Analysis andits ApplicationsGraeme CohenUniversity of Technology, Sydney

Designed for one-semester courses forsenior undergraduates, this bookapproaches topics initially throughconvergence of sequences in metric space.However, the alternative topologicalapproach is also described. Applications areincluded from differential and integralequations, systems of linear algebraicequations, approximation theory, numericalanalysis and quantum mechanics.

Contents: Preface; 1. Prelude to modernanalysis; 2. Metric spaces; 3. The fixedpoint theorem and its applications; 4. Compactness; 5. Topological spaces; 6. Nomed vector spaces; 7. Mappings onnormed spaces; 8. Inner product spaces; 9. Hilbert spaces; References; Index.Australian Mathematical Society Lecture Series,172003 228 x 152 mm 352pp 16 line diagrams204 exercises0 521 81996 2 Hardback c. £60.000 521 52627 2 Paperback c. £24.95

New Edition

Trigonometric SeriesThird editionA. Zygmund

Foreword by Robert FeffermanUniversity of Chicago

The third edition of ProfessorZygmund’s classic Trigonometric Series,now featuring a foreword by RobertFefferman. Both volumes of the 1959edition are bound as one. The rigoroustreatment of this important subjectpresented here is a reference work ofenduring value for mathematicians atgraduate level and above.Cambridge Mathematical Library2003 228 x 152 mm 390pp0 521 89053 5 Paperback £39.95

Graph Directed Markov SystemsGeometry and Dynamics of Limit SetsDan MauldinUniversity of North Texasand Mariusz UrbanskiUniversity of North Texas

Graph Directed Markov Systems are apowerful tool with many application areas,including dynamical systems. This text, byacknowledged experts in the field, includesthe necessary background material as wellas an extensive list of references suggestingfurther reading. Cambridge Tracts in Mathematics, 1482003 228 x 152 mm 240pp0 521 82538 5 Hardback c. £37.50Publication April 2003

Two-Volume Set

Multidimensional Real AnalysisJ. J. DuistermaatUniversiteit Utrecht, The Netherlandsand J. A. C. KolkUniversiteit Utrecht, The Netherlands

Cambridge Studies in AdvancedMathematics2003 228 x 152 mm 50 line diagrams0 521 82930 5 2 Volume Set c. £80.00Publication October 2003

Multidimensional Real Analysis, IDifferentiationJ. J. DuistermaatUniversiteit Utrecht, The Netherlandsand J. A. C. KolkUniversiteit Utrecht, The Netherlands

Part one of the authors’ comprehensiveand innovative work onmultidimensional real analysis.Numerous illustrative exercisescombined with an exhaustive andtransparent treatment of subject mattermake the book ideal as either the textfor a course, a source of problems for aseminar or for self study.Cambridge Studies in AdvancedMathematics, 862003 228 x 152 mm 350pp 25 line diagrams0 521 55114 5 Hardback c. £45.00Publication October 2003

Multidimensional Real Analysis, IIIntegrationJ. J. DuistermaatUniversiteit Utrecht, The Netherlandsand J. A. C. KolkUniversiteit Utrecht, The Netherlands

Part two of comprehensive text onmultidimensional real analysis.Numerous exercises with partialsolutions.Cambridge Studies in AdvancedMathematics, 872003 228 x 152 mm 315pp 25 line diagrams0 521 82925 9 Hardback c. £40.00Publication October 2003

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

Analysis andProbability

TextbookNew Edition

Complex VariablesIntroduction and ApplicationsSecond editionMark J. AblowitzUniversity of Coloradoand Athanssios S. FokasClarkson University and Loughborough Universityof Technology

Complex variables provide powerfulmethods for attacking many difficultproblems, and it is the aim of this bookto provide a thorough grounding inthese methods and their application.This new edition has been improvedthroughout and is ideal for use inundergraduate and introductorygraduate courses in complex variables.

‘… an excellent text, and one of themost complete and well-written bookson complex variables I have seen … Theindex is nicely composed, complete, andaccurate … useful as a reference … Ihighly recommended it to anyoneinterested in the subject and have placedit prominently upon my referencebookshelf.’

Duwayne Anderson, Optics andPhotonics News

Contents: Part I: 1. Complex numbersand elementary functions; 2. Analyticfunctions and integration; 3. Sequences,series and singularities of complexfunctions; 4. Residue calculus andapplications of contour integration; Part II: 5. Conformal mapping andapplications; 6. Asymptotic evaluationof integrals; 7. Riemann-Hilbertproblems; Index.2003 228 x 152 mm 650pp 160 line diagrams350 exercises0 521 53429 1 Paperback c. £27.95Publication June 2003

2 Logic, Foundations and Combinatorics/Algebra, Geometry and Number Theory

Logic, Foundationsand Combinatorics

Textbook

Sets for MathematicsW. LawvereState University of New York, Buffaloand R. RosebrughMount Allison University, Canada

For the first time in a textbook, categoricalalgebra is used to build a foundation forthe study of geometry, analysis, andalgebra. Starting with intuitive descriptionsof mathematically and physically commonphenomena, it leads up to a precisespecification of the Category of Sets.Suitable for advanced undergraduates andbeginning graduate students.

Contents: Foreword; 1. Abstract sets andmappings; 2. Sums, monomorphisms andparts; 3. Finite inverse limits; 4. Colimits,epimorphisms and the axiom of choice; 5. Mapping sets and exponentials; 6. Summary of the axioms and an exampleof variable sets; 7. Consequences and usesof exponentials; 8. More on power sets; 9. Introduction to variable sets; 10. Modelsof additional variation; Appendices;Bibliography.2003 247 x 174 mm 264pp 84 line diagrams219 exercises0 521 80444 2 Hardback £50.000 521 01060 8 Paperback £19.95Publication April 2003

More Games of No ChanceEdited by Richard J. NowakowskiDalhousie University, Nova Scotia

This fascinating collection of articles runsthe gamut from new theoretical approaches,both computational and mathematical, tothe latest in hot games such as Amazons,Chomp, Dot-and-Boxes, Go, Chess, andHex. Includes an updated bibliography byA. Fraenkel and a list of combinatorialgame theory problems by R. K. Guy.Mathematical Sciences Research InstitutePublications, 422003 234 x 156 mm 548pp 100 line diagrams0 521 80832 4 Hardback £40.00

Lectures in Logic and Set TheoryVolume 1: Mathematical LogicGeorge TourlakisYork University, Ontario

Includes formal proof techniques, a sectionon applications of compactness (includingnonstandard analysis), a generous dose ofcomputability and its relation to theincompleteness phenomenon, and the firstpresentation of a complete proof of Godel’s2nd incompleteness since Hilbert andBernay’s Grundlagen theorem.Cambridge Studies in Advanced Mathematics, 822003 228 x 152 mm 340pp0 521 75373 2 Hardback £47.50

Lectures in Logic and Set TheoryVolume 2: Set TheoryGeorge TourlakisYork University, Ontario

Provides the reader with a solid foundationin set theory, while the inclusion of topicssuch as absoluteness, relative consistencyresults, two expositions of Godel’sconstructible universe, numerous ways ofviewing recursion, and a chapter on Cohenforcing, will usher the advanced reader tothe doorstep of the research literature.Cambridge Studies in Advanced Mathematics, 832003 228 x 152 mm 592pp0 521 75374 0 Hardback £65.00

The Description Logic HandbookTheory, Implementation and ApplicationsEdited by Franz BaaderAachen University of TechnologyDiego CalvaneseDipartimento di Iformatica e Sistemistica “AntonioRuberti”Deborah McGuinnessStanford University, CaliforniaDaniele NardiUniversità degli Studi di Roma ‘La Sapienza’and Peter Patel-SchneiderAT&T Bell Laboratories, New Jersey

The Description Logic Handbook covers allaspects of the research in the field ofknowledge representation. Written by someof the most prominent researchers in thefield, and covering the basic technicalmaterial and implementational aspects, it isboth a unique reference and a self-studyguide.2003 247 x 174 mm 574pp 14 tables 53 figures0 521 78176 0 Hardback £80.00

Journal

Combinatorics, Probability &ComputingEditor-in-Chief: Béla BollobásUniversity of Memphis

Published bimonthly, Combinatorics,Probability & Computing is devoted to thethree areas of combinatorics, probabilitytheory and theoretical computer science.Topics covered include classical andalgebraic graph theory, extremal set theory,matroid theory, probabilistic methods andrandom combinatorial structures;combinatorial probability and limittheorems for random combinatorialstructures; the theory of algorithms(including complexity theory), randomisedalgorithms, probabilistic analysis ofalgorithms, computational learning theoryand optimisation.SubscriptionsVolume 12 in 2003: January, March, May, July,September and NovemberInstitutions print and electronic: £184/$294Institutions electronic only: £165/$265Print ISSN 0963-5483Electronic ISSN 1469-2163

Algebra, Geometryand Number Theory

Textbook

A Primer of Analytic NumberTheoryFrom Pythagoras to RiemannJeffrey StoppleUniversity of California, Santa Barbara

This undergraduate-level introductiondescribes those mathematical properties ofprime numbers that can be deduced withthe tools of calculus. The capstone of thebook is a brief presentation of the Riemannzeta function and of the significance of theRiemann Hypothesis.

Contents: 1. Sums and differences; 2. Products and divisibility; 3. Order andmagnitude; 4. Counterexamples; 5. Averages; 6. Prime number theorems; 7. Series; 8. The Basel problem; 9. Euler’sproduct; 10. The Riemann zeta function;11. Pell’s equation; 12. Elliptic curves; 13. Symmetry; 14. Explicit formula.2003 228 x 152 mm 400pp0 521 81309 3 Hardback c. £65.000 521 01253 8 Paperback c. £21.95Publication August 2003

3

Automatic SequencesTheory, Applications, GeneralizationsJean-Paul AlloucheUniversité de Paris Sudand Jeffrey ShallitUniversity of Waterloo, Ontario

This book, combining concepts ofmathematics and computer science, is aboutthe sequences of symbols that can begenerated by simple models of computationcalled ‘finite automata’. Suitable for graduatestudents or advanced undergraduates, thebook starts from first principles anddevelops the basic theory. Then it showshow these ideas can be applied to solveproblems in number theory and physics.2004 253 x 177 mm 450pp 170 line diagrams548 exercises0 521 82332 3 Hardback c. £35.00Publication July 2003

Systems of Polynomial Equations IThe Kronecker-Duval PhilosophyTeo MoraUniversity of Genoa

Mora covers the classical theory of findingroots of a univariate polynomial,emphasising computational aspects. Heshows that solving a polynomial equationreally means finding algorithms that helpone manipulate roots rather than simplycomputing them; to that end he alsosurveys algorithms for factorizing univariatepolynomials.Encyclopedia of Mathematics and itsApplications, 882003 234 x 156 mm 427pp0 521 81154 6 Hardback £60.00Publication March 2003

Galois Groups and FundamentalGroupsEdited by Leila SchnepsInstitut de Mathematiques de Jussieu, Paris

This book contains eight expository articlesby well-known authors on the theory ofGalois groups and fundamental groups,focusing on recent developments in thefield. Among the subjects covered areelliptic surfaces, Grothendieck’s anabelianconjecture, fundamental groups of curvesand differential Galois theory in positivecharacteristic.Mathematical Sciences Research InstitutePublications, 412003 234 x 156 mm 456pp0 521 80831 6 Hardback £50.00Publication June 2003

Affine Hecke Algebras andOrthogonal PolynomialsI. G. MacdonaldQueen Mary College, University of London

There has recently developed a satisfactoryand coherent theory, created by the author,of orthogonal polynomials in severalvariables, attached to root systems, and

depending on two or more parameters.This Tract, the first comprehensive andorganised account of the subject, provides aunified foundation for this theory.Cambridge Tracts in Mathematics, 1572003 228 x 152 mm 200pp0 521 82472 9 Hardback £35.00Publication March 2003

Cohomology of Vector Bundlesand SyzygiesJerzy WeymanNortheastern University, Boston

The central theme of this book is anexposition of the geometric technique ofcalculating syzygies. Written from a point ofview of commutative algebra, no knowledgeof representation theory is assumed. Severalimportant applications are carefully consid-ered, with numerous exercises for the reader.Cambridge Tracts in Mathematics, 1492003 228 x 152 mm 368pp 43 line diagrams131 exercises0 521 62197 6 Hardback c. £50.00Publication June 2003

Graduate Text

Hodge Theory and ComplexAlgebraic Geometry IClaire VoisinCentre de Mathématiques de Jussieu, ParisTranslated by Leila Schneps

This is a completely self-contained modernintroduction to Kaehlerian geometry andHodge structure. The author proves theKaehler identities, which leads to the hardLefschetz theorem and the Hodge indextheorem. Aimed at students, the text iscomplemented by exercises which provideuseful results in complex algebraic geometry.Cambridge Studies in Advanced Mathematics, 762002 228 x 152 mm 332pp 30 exercises0 521 80260 1 Hardback £55.00

Hodge Theory and ComplexAlgebraic Geometry IIClaire VoisinUniversité de Paris VITranslated by Leila Schneps

The second volume of this modern, self-contained account of Kaehlerian geometryand Hodge theory continues Voisin’s studyof topology of families of algebraic varietiesand the relationships between Hodgetheory and algebraic cycles. Aimed atresearchers, the text is complemented byexercises which provide useful results incomplex algebraic geometry.Cambridge Studies in Advanced Mathematics, 772003 228 x 152 mm 330pp 4 line diagrams22 exercises 4 figures0 521 80283 0 Hardback c. £55.00Publication June 2003

Visit our website at www.cambridge.org

Algebra, Geometry and Number Theory/LMS Publications 3

LMS PublicationsTextbook

The Prime Number TheoremG. J. O. JamesonUniversity of Lancaster

The prime number theorem isindisputably one of the great classicaltheorems of mathematics. Suitable foradvanced undergraduates and beginninggraduates, this textbook demonstrateshow the tools of analysis can be used innumber theory to attack a famousproblem.

Contents: Preface; 1. Foundations; 2. Some important Dirichlet series andarithmetic functions; 3. The basictheorems; 4. Prime numbers in residueclasses: Dirichlet’s theorem; 5. Errorestimates and the Riemann hypothesis;6. An ‘elementary’ proof of the primenumber theorem; Appendices;Bibliography; Index.London Mathematical Society Student Texts,532003 228 x 152 mm 264pp 1 line diagram0 521 81411 1 Hardback £50.000 521 89110 8 Paperback £18.95Publication April 2003

Textbook

Elementary Number Theory, GroupTheory and Ramanujan GraphsGiuliana DavidoffMount Holyoke College, MassachusettsPeter SarnakPrinceton University, New Jersey and New YorkUniversityand Alain ValetteUniversité de Neuchatel, Switzerland

This text is a self contained treatment ofexpander graphs and in particular theirexplicit construction. Expander graphs areboth highly connected but sparse, andbesides their interest within combinatoricsand graph theory, they also find variousapplications in computer science andengineering.

4 LMS Publications

Contents: 0. An overview; 1. Graphtheory; 2. Number theory; 3. PSL2(q); 4. The graphs Xp,q; Appendix A. 4-regulargraphs with large girth; Index;Bibliography.London Mathematical Society Student Texts, 552003 228 x 152 mm 160pp0 521 82426 5 Hardback £47.500 521 53143 8 Paperback £17.95Publication March 2003

Textbook

Logic, Induction and SetsThomas ForsterUniversity of Cambridge

This is an introduction to logic and theaxiomatization of set theory from aunique standpoint. Difficult points arepresented in an engaging fashion andfurthered by the aid of many exercises.Little previous knowledge of logic isrequired, only a background of standardundergraduate mathematics is assumed.

Contents: 1. Definitions and notations;2. Recursive datatypes; 3. Partiallyordered sets; 4. Propositional calculus;5. Predicate calculus; 6. Computablefunctions; 7. Ordinals; 8. Set theory; 9. Answers to selected questions.London Mathematical Society Student Texts,562003 228 x 152 mm 200pp 125 exercises0 521 82621 7 Hardback c. £45.000 521 53361 9 Paperback c. £15.95Publication June 2003

Textbook

Introduction to Banach Algebras,Operators and Harmonic AnalysisGarth DalesUniversity of Leeds Pietro AienaUniversità degli Studi, Palermo, ItalyJörg EschmeierUniversität des Saarlandes, Saarbrücken, GermanyKjeld LaursenUniversity of Copenhagenand George Willis

Arising from lecture courses given by theauthors, this book gives introductions toimportant topics in functional analysis at alevel ideal for beginning graduate studentsas well as others interested in the subject.The collection is carefully written to form acoherent and accessible introduction tocurrent research topics.

Contents: 1. Banach algebras; 2. Harmonicanalysis and amenability; 3. Invariantsubspaces; 4. Local spectral theory; 5. Single-valued extension property andFredholm theory.London Mathematical Society Student Texts, 572003 228 x 152 mm 250pp0 521 82893 7 Hardback c. £55.000 521 53584 0 Paperback c. £22.95Publication September 2003

Textbook

Introduction to Operator SpaceTheoryGilles PisierTexas A & M University and the Université de Paris VI

An introduction to the theory ofoperator spaces, emphasising examplesthat illustrate the theory andapplications to C*-algebras, andapplications to non self-adjoint operatoralgebras, and similarity problems.Postgraduate and professionalmathematicians interested in functionalanalysis, operator algebras andtheoretical physics will find the bookhas much to offer.

Contents: Part I. Introduction toOperator Spaces; Part II. OperatorSpaces and C*-tensor products; Part III. Operator Spaces and Non Self-Adjoint Operator Algebras.London Mathematical Society Lecture NoteSeries, 2942003 228 x 152 mm 304pp0 521 81165 1 Paperback c. £31.95Publication July 2003

Stable Modules and the D(2)-ProblemF. E. A. JohnsonUniversity College London

This book is concerned with twofundamental problems in low dimensionaltopology. Professor Johnson developsgeneral methods and gives completesolutions in a number of cases. It is idealfor graduate students wanting to learn low-dimensional homotopy theory as well asestablished researchers in the field.London Mathematical Society Lecture NoteSeries, 3012003 228 x 152 mm 245pp 20 line diagrams0 521 53749 5 Paperback c. £29.95Publication September 2003

Groups St Andrews 2001 in OxfordVolume IEdited by Colin CampbellUniversity of St Andrews, ScotlandEdmund RobertsonUniversity of St Andrews, Scotlandand Geoff SmithUniversity of Bath

This first volume contains selected papersfrom the conference ‘Groups St Andrews2001 in Oxford’. The articles arecontributed by leading researchers andcover a wide spectrum of modern grouptheory. There are articles based on lecturecourses given by five main speakers togetherwith refereed survey and research articles.London Mathematical Society Lecture NoteSeries, 3042003 228 x 152 mm 290pp0 521 53739 8 Paperback c. £27.95Publication July 2003

Groups St Andrews 2001 in OxfordVolume IIEdited by Colin CampbellUniversity of St Andrews, ScotlandEdmund RobertsonUniversity of St Andrews, Scotlandand Geoff SmithUniversity of Bath

This second volume of the two-volume bookcontains selected papers from the conference‘Groups St Andrews 2001 in Oxford’. The‘Groups St Andrews’ proceedings volumesare a snapshot of the state of the art in grouptheory and they often play an important rolein future developments in the subject.London Mathematical Society Lecture NoteSeries, 3052003 228 x 152 mm 290pp0 521 53740 1 Paperback c. £27.95Publication July 2003

Journal

Bulletin of the LondonMathematical SocietyEditors: Gordon BlowerLancaster Universityand Richard GreenLancaster University

Produced, marketed and distributed for theLondon Mathematical Society

The Bulletin publishes important shortresearch articles covering the whole of puremathematics, together with some moreapplied areas of analysis, theoreticalcomputing and mathematical physics. It alsopublishes authoritative survey articles andadvanced expositions, often of an extensivenature reviewing all major developments inan important area over many years.Occasional biographical articles are publishedon the lives and mathematical achievementsof distinguished mathematicians. The Bulletinhas a substantial book review section,including books in applied mathematics andstatistics as well as pure mathematics. SubscriptionsVolume 35 in 2003: January, March,May, July, September and NovemberInstitutions print and electronic: £206/$351Institutions electronic only: £193/$338Special arrangements exist for LMS members.Print ISSN 0024-6093Electronic ISSN 1469-2120

Journal

Journal of the LondonMathematical SocietyEditors: Jonathan R. PartingtonUniversity of Leedsand John K. TrussUniversity of Leeds

Produced, marketed and distributed for theLondon Mathematical Society

The Journal of the London MathematicalSociety publishes longer papers (normally inthe range of 7–17 pages each) from a broadspectrum within mathematics but with themain emphasis on pure mathematics.

LMS Publications/Mathematical Physics 5

These range from number theory tofunctional analysis, from finite simplegroups to the mathematical foundations ofquantum theory, from logic and topostheory to the topology of Lie groups.SubscriptionsVolumes 67-68 in 2003: February, April,June, August, October and DecemberInstitutions print and electronic: £448/$766Institutions electronic only: £422/$736Special arrangements exist for members of the LMS.Print ISSN 0024-6107Electronic ISSN 1469-7750

Journal

LMS Journal of Computation 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 Mathematics publishespapers on the computational aspects ofmathematics, mathematical aspects ofcomputation, and papers in mathematicswhich benefit from being electronic ongrounds of their format. It ensures rapidpublication after acceptance of a paper, inhigh-quality PDF. There are also facilitiesfor adding updates and discussions topapers, while the main text of each paper isguaranteed to remain unaltered. Hyperlinksare provided for cross-references within andbetween papers. Access is free until furthernotice. Go to http://www.lms.ac.uk/jcm forfurther details.SubscriptionsVolume 6 in 2003: Electronic journal,published incrementally throughout theyear.

Electronic only journal, published incrementallythroughout the year. LMS Journal of Computation andMathematics is currently free to all users. Go tohttp://www.lms.ac.uk/jcmPrint ISSN 1461-1570

Journal

Proceedings of the LondonMathematical SocietyEditors: Bryan J. Birch FRSUniversity of Oxfordand Karin ErdmannUniversity of Oxford

Produced, marketed and distributed for theLondon Mathematical Society

The Proceedings of the London MathematicalSociety has been published since 1865, andtoday maintains its rank as one of the mosteminent international mathematicsjournals. The Proceedings publishes longerresearch papers, covering a wide range ofmathematical topics, including real andcomplex analysis, differential equations andrelated areas, topology, geometry, logic,probability and statistics, algebra, numbertheory and combinatorial theory.

SubscriptionsVolumes 86-87 in 2003: January, March,May, July, September and NovemberInstitutions print and electronic: £488/$834Institutions electronic only: £460/$802Special arrangements exist for LMS members.Print ISSN 0024-6115Electronic ISSN 1460-244X

MathematicalPhysics

Geometric Algebra for PhysicistsChris DoranUniversity of Cambridgeand Anthony LasenbyUniversity of Cambridge

This book provides an introduction togeometric algebra, covering applicationssuch as black hole physics and quantumcomputing. Suitable for researchersworking in the fields of relativity andquantum theory, it can also be used as agraduate text for courses on the physicalapplications of geometric algebra.2003 247 x 174 mm 580pp 76 line diagrams6 half-tones 12 tables 135 exercises0 521 48022 1 Hardback c. £60.00Publication March 2003

Introduction to ClassicalIntegrable SystemsOlivier BabelonUniversité de Paris VI et VIIDenis BernardSPHT, CE Saclayand Michel TalonUniversité de Paris VI et VII

A clear and pedagogical introduction toclassical integrable systems and theirapplications. It synthesises the differentapproaches to the subject, providing a setof interconnected methods for solvingproblems in mathematical physics. Eachmethod is introduced and explained, beforebeing applied to particular examples.

Cambridge Monographs on MathematicalPhysics2003 247 x 174 mm 600pp 11 line diagrams3 tables0 521 82267 X Hardback c. £70.00Publication April 2003

New Edition

Exact Solutions of Einstein’s FieldEquationsSecond editionHans StephaniFriedrich-Schiller-Universität Jena, GermanyDietrich KramerFriedrich-Schiller-Universität Jena, GermanyMalcolm MacCallumQueen Mary and Westfield College, LondonCornelius HoenselaersLoughborough Universityand Eduard HerltFriedrich-Schiller-Universität Jena, Germany

A completely revised and updated editionof this classic text, covering important newmethods and many recently discoveredsolutions. This book gives a comprehensivereview of all known solutions of Einstein’sfield equations. Indispensable for thoseworking on exact solutions in relativity orusing them in physical or mathematicalproblems.Cambridge Monographs on MathematicalPhysics2003 247 x 174 mm 680pp 10 line diagrams50 tables0 521 46136 7 Hardback c. £80.00Publication March 2003

New in Paperback

SynchronizationA Universal Concept in Nonlinear ScienceArkady PikovskyUniversity of Potsdam, GermanyMichael RosenblumUniversity of Potsdam, Germanyand Jürgen KurthsUniversity of Potsdam, Germany

Synchronization phenomena are abundantin science, nature, engineering and sociallife. Systems as diverse as clocks, singingcrickets, cardiac pacemakers andapplauding audiences exhibit a tendency tooperate in synchrony. This comprehensivebook describes the phenomena using bothclassical results and recent developments.Cambridge Nonlinear Science Series, 122003 247 x 174 mm 431pp 213 line diagrams9 half-tones0 521 53352 X Paperback £35.00Publication May 2003

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

6 Dynamics

Dynamics Textbook

Differential EquationsLinear, Nonlinear, Ordinary, PartialA. C. KingUniversity of BirminghamJ. BillinghamUniversity of Birminghamand S. OttoUniversity of Birmingham

The authors focus on constructingsolutions analytically, and interpretingtheir meaning; MATLAB is usedextensively to illustrate the material. Themany worked examples, based oninteresting real world problems, thelarge selection of exercises, includingseveral lengthier projects, the broadcoverage, and clear and concisepresentation will appeal toundergraduates.

• Class-tested with special attentiongiven to areas students find hard

• Extensive exercises, with solutionsavailable to instructors fromsolutions@cambridge.org. Manyexamples taken from real-worldproblems

Contents: Preface; Part I. LinearEquations: 1. Variable coefficient,second-order, linear ordinary differentialequations; 2. Legendre functions; 3. Bessel functions; 4. Boundary valueproblems, Green’s functions andSturm–Liouville theory; 5. Fourier seriesand the Fourier transform; 6. Laplacetransforms; Part II. Nonlinear Equationsand Advanced Techniques: 7. Existence,uniqueness, continuity and comparisonof solutions of ordinary differentialequations; 8. Nonlinear ordinarydifferential equations; 9. Grouptheoretical methods; 10. Asymptoticmethods: basic ideas; 11. Asymptoticmethods: differential equations;

12. Stability, instability andbifurcations; 13. Time-optimal controlin the phase plane; 14. An introductionto chaotic systems; Appendix 1. Linearalgebra; Appendix 2. Continuity anddifferentiability; Appendix 3. Powerseries; Appendix 4. Sequences offunctions; Appendix 5. Ordinarydifferential equations; Appendix 6.Complex variables; Appendix 7. A shortintroduction to MATLAB;Bibliography; Index.2003 247 x 174 mm 500pp 169 line diagrams173 exercises0 521 81658 0 Hardback c. £65.000 521 01687 8 Paperback c. £24.95Publication May 2003

Textbook

Solving ODEs with MATLABL. F. ShampineSouthern Methodist University, TexasI. GladwellSouthern Methodist University, Texasand S. ThompsonRadford University, Virginia

This concise text for a one-semester coursefor upper-level undergraduates andbeginning graduate students inengineering, science, and mathematics canalso serve as a quick reference forprofessionals. The treatment of eachmethod is brief and technical issues areminimized, but all the issues important inpractice and for understanding the code arediscussed.

Contents: 1. Getting started; 2. Initialvalue problems; 3. Boundary valueproblems; 4. Delay differential equations.2003 228 x 197 mm 272pp 35 line diagrams0 521 82404 4 Hardback £65.000 521 53094 6 Paperback £21.95Publication May 2003

Textbook

Chaos: A MathematicalIntroductionJohn BanksLa Trobe University, VictoriaValentina DraganLa Trobe University, Victoriaand Arthur JonesLa Trobe University, Victoria

Here is a textbook that presents ideasabout chaos in discrete time dynamicsin a form where they should beaccessible to anyone who has taken afirst course in undergraduate calculus.Remarkably, it manages to do sowithout discarding a commitment tomathematical substance and rigour.

Contents: Preface; 1. Makingpredictions; 2. Mappings and orbits; 3. Periodic orbits; 4. Asymptotic orbitsI: linear and affine mappings; 5. Asymptotic orbits II: differentiable

mappings; 6. Families of mappings andbifurcations; 7. Graphical composition,wiggly iterates and zeros; 8. Sensitivedependence; 9. Ingredients of chaos; 10. Schwarzian derivatives and‘woggles’; 11. Changing coordinates; 12. Conjugacy; 13. Wiggly iterates,Cantor sets and chaos; Index.Australian Mathematical Society LectureSeries, 182003 228 x 152 mm 320pp 154 line diagrams303 exercises0 521 53104 7 Paperback c. £27.95Publication April 2003

Textbook

A First Course in Dynamicswith a Panorama of Recent DevelopmentsBoris HasselblattTufts University, Massachusettsand Anatole KatokPennsylvania State University

An advanced undergraduate introductioncombining mathematical rigour withcopious examples of importantapplications.

Contents: 1. What is a dynamical system?;Part I. Simple Behavior in DynamicalSystems: 2. Systems with stable asymptoticbehavior; 3. Linear maps and lineardifferential equations; Part II. ComplicatedBehavior in Dynamical Systems: 4. Quasiperiodicity and uniformdistribution on the circle; 5. Quasiperiodicity and uniformdistribution in higher dimension; 6. Conservative systems; 7. Simple systemswith complicated orbit structure; 8. Entropy and chaos; 9. Simple dynamicsas a tool; Part III. Panorama of DynamicalSystems: 10. Hyperbolic dynamics; 11. Quadratic maps; 12. Homoclinictangles; 13. Strange attractors; 14. Diophantine approximation andapplications of dynamics to numbertheory; 15. Variational methods, twistmaps, and closed geodesics; Appendix;Solutions.

7

2003 253 x 177 mm 448pp 140 line diagrams0 521 58304 7 Hardback c. £65.000 521 58750 6 Paperback c. £24.95Publication August 2003

Soliton Equations and TheirAlgebro-Geometric SolutionsVolume 1Fritz GesztesyUniversity of Missouriand Helge HoldenNorwegian University of Science and Technology,Trondheim

The Korteweg-de Vries (KdV), the AKNS,the nonlinear Schrödinger, the sine-Gordon and the Camassa-Holm equations,and the Thirring system, are all completelyintegrable nonlinear PDEs permittingspecial classes of solutions. This is adetailed treatment of the class of algebro-geometric solutions and theirrepresentations in terms of Riemann theta functions.Cambridge Studies in Advanced Mathematics, 792003 228 x 152 mm 496pp0 521 75307 4 Hardback £65.00Publication May 2003

Journal

Ergodic Theory and DynamicalSystemsManaging Editors: S. van StrienUniversity of Warwickand P. WaltersUniversity of Warwick

Ergodic Theory and Dynamical Systemsfocuses on a rich variety of research areaswhich, although diverse, employ ascommon themes global dynamicalmethods. The journal provides a focus forthis important and flourishing area ofmathematics and brings together manymajor contributions in the field. Thejournal acts as a forum for central problemsof differential geometry, number theory,operator algebras, topological, differentialand symbolic dynamics, and celestial andstatistical mechanics.SubscriptionsVolume 23 in 2003: February, April,June, August, October and DecemberInstitutions print and electronic: £424/$678Institutions electronic only: £382/$610London Mathematical Society, American MathematicalSociety: £144/$230Print ISSN 0143-3857Electronic ISSN 1469-4417

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Dynamics/Mechanics 7

MechanicsTextbook

ScalingGrigori BarenblattUniversity of California, Berkeley

Advanced textbook on how to discover anduse scaling laws in natural sciences andengineering.

Contents: Foreword; Introduction; 1. Dimensional analysis and physicalsimilarity; 2. Self-similarity andintermediate asymptotics; 3. Scaling lawsand self-similar solutions which cannot beobtained by dimensional analysis; 4. Complete and incomplete similarity; 5. Scaling and transformation groups andthe renormalisation group; 6. Self-similarsolutions and traveling waves; 7. Scalinglaws and fractals; 8. Scaling laws forturbulent wall-bounded shear flows at verylarge Reynolds numbers; References; Index.Cambridge Texts in Applied Mathematics, 342003 228 x 152 mm 200pp 5 half-tones 40 figures0 521 82657 8 Hardback c. £50.000 521 53394 5 Paperback c. £18.95Publication September 2003

New in PaperbackGraduate Text

Perspectives in Fluid DynamicsA Collective Introduction to CurrentResearchEdited by G. K. BatchelorUniversity of CambridgeH. K. MoffattUniversity of Cambridgeand M. G. WorsterUniversity of Cambridge

‘The book belongs on the shelf of anyserious student of fluid mechanics andmany researchers whose work toucheson the subject of fluid mechanics in asubstantial way.’

H. Aref, Journal of Fluid Mechanics

Contents: Preface; 1. Interfacial fluiddynamics; 2. Viscous fingering as anarchetype for growth patterns; 3. Bloodflow in arteries and veins; 4. Open shearflow instabilities; 5. Turbulence; 6. Convection in the environment; 7. Reflections on magnetohydrodynamics; 8. Solidification of fluids; 9. Geologicalfluid mechanics; 10. The dynamicocean; 11. On global-scale atmosphericand oceanic circulations; Index.2002 247 x 174 mm 644pp 21 colour plates3 tables 203 figures0 521 53169 1 Paperback £35.00

Magnetohydrodynamic TurbulenceDieter BiskampMax-Planck-Institut für Plasmaphysik, Garching,Germany

This book presents an introduction to, andstate-of-the-art account of,magnetohydrodynamic (MHD)turbulence. Applications to three topicsfrom astrophysics are considered: the solarwind, accretion disks, and the interstellarmedium. Suitable for graduate studentsand researchers working in turbulencetheory, plasma physics and astrophysics.2003 228 x 152 mm 350pp 64 line diagrams12 half-tones 4 tables0 521 81011 6 Hardback £65.00Publication April 2003

Journal

Journal of Fluid MechanicsEditors: Stephen H. DavisNorthwestern University and T. J. PedleyUniversity of Cambridge

Journal of Fluid Mechanics is the leadinginternational journal in the field and isessential reading for all those concernedwith developments in fluid mechanics. Itpublishes authoritative articles coveringtheoretical, computational andexperimental investigations of all aspects ofthe mechanics of fluids. Each issue containspapers on both the fundamental aspects offluid mechanics, and their applications toother fields such as aeronautics,astrophysics, physiology, chemical andmechanical engineering, hydraulics,meteorology, oceanography, geology,acoustics and combustion. SubscriptionsVolumes 474-497 in 2003: twicemonthlyInstitutions print and electronic: £1196/$1920Institutions electronic only: £1076/$1728Individuals print plus electronic: £498/$798Print ISSN 0022-1120Electronic ISSN 1469-7645

8 Statistics, Probability and Finance

Graduate Text

Probability TheoryThe Logic of ScienceE. T. Jaynes

A comprehensive introduction to the roleof probability theory in general scientificendeavour. This book provides an originalinterpretation of probability theory,showing the subject to be an extension oflogic, and presenting new results andapplications. Ideal for scientists working inany area involving inference fromincomplete information.

Contents: Foreword; Preface; Part I.Principles and Elementary Applications: 1. Plausible reasoning; 2. The quantitativerules; 3. Elementary sampling theory; 4. Elementary hypothesis testing; 5. Queeruses for probability theory; 6. Elementaryparameter estimation; 7. The central,Gaussian or normal distribution; 8. Sufficiency, ancillarity, and all that; 9. Repetitive experiments, probability andfrequency; 10. Physics of ‘randomexperiments’; Part II. AdvancedApplications: 11. Discrete priorprobabilities, the entropy principle; 12. Ignorance priors and transformationgroups; 13. Decision theory: historicalbackground; 14. Simple applications ofdecision theory; 15. Paradoxes ofprobability theory; 16. Orthodox methods:historical background; 17. Principles andpathology of orthodox statistics; 18. TheAp distribution and rule of succession; 19. Physical measurements; 20. Modelcomparison; 21. Outliers and robustness;22. Introduction to communication theory;References; Appendix A. Other approachesto probability theory; Appendix B.Mathematical formalities and style;Appendix C. Convolutions and cumulants.2003 247 x 174 mm 800pp0 521 59271 2 Hardback £45.00Publication April 2003

Exercises in ProbabilityLoic ChaumontLaboratoire de Probabilités, Université Pierre etMarie Curieand Marc YorLaboratoire de Probabilités, Université Pierre etMarie Curie

This book presents around 100 exercisesin probability. In each case, the authorshave provided a detailed solution andreferences for preliminary and furtherreading. There are many insightful notesthat set the exercises in context. Idealfor independent study or as companionto a course in advanced probabilitytheory. Cambridge Series in Statistical andProbabilistic Mathematics, 132003 254 x 178 mm 224pp0 521 82585 7 Hardback c. £32.50Publication June 2003

Statistical ModelsA. C. DavisonSwiss Federal Institute of Technology, Zürich

Models and likelihood are the backbone ofmodern statistics and data analysis. Theunrivalled coverage, abundance of examplesand exercises, computer practicals and clearexposition, all combine to create what issure to become the standard text andreference for students and users of statistics.Cambridge Series in Statistical andProbabilistic Mathematics, 112003 254 x 178 mm 680pp 133 line diagrams119 tables 566 exercises0 521 77339 3 Hardback c. £37.50Publication May 2003

Data Analysis and Graphics Using RJohn MaindonaldAustralian National University, Canberraand John BraunUniversity of Western Ontario

Extensive examples illustrate the use of R, astatistical computing environment, and themodern statistical methods that can beused with it. Starting with elementaryconcepts, the authors proceed to introduceadvanced topics of use to researchers orstudents in medicine, science, engineeringand the social sciences. R code and datasets for all examples will be available on theWeb.Cambridge Series in Statistical andProbabilistic Mathematics, 102003 253 x 177 mm 400pp 26 tables 79 exercises52 figures0 521 81336 0 Hardback c. £40.00Publication May 2003

Statistics,Probability andFinance

TextbookNew Edition

Elementary ProbabilitySecond editionDavid StirzakerUniversity of Oxford

Now available in a fully revised andupdated new edition, this wellestablished undergraduate textbookprovide a straightforward introductionto the theory of probability. Thepresentation is entertaining without anysacrifice of rigour, and importantnotions are covered with the clarity thatthe subject demands.

‘… this book is a superb resource oftheory and application, which should beon every lecturer’s shelves, and those ofmany students. You may never need tobuy another book on probability.’

Keith Hirst, The Mathematical Gazette

Contents: 1. Probability; 2. Conditionalprobability and independence; 3. Counting; 4. Random variables:distribution and expectation; 5. Random vectors: independence anddependence; 6. Generating functionsand their applications; 7. Continuousrandom variables; 8. Jointly continuousrandom variables; 9. Markov chains;Appendix.2003 253 x 177 mm 450pp0 521 53428 3 Paperback c. £24.95Publication September 2003

Statistics, Probability and Finance 9

TextbookNew Edition

An Elementary Introduction toMathematical FinanceOptions and other TopicsSecond editionSheldon M. RossUniversity of California, Berkeley

Contains a new chapter on optimisationmethods in finance, a new section on Valueat Risk and Conditional Value at Risk; anew and simplified derivation of the Black-Scholes equation with derivations of thepartial derivatives of the Black-Scholesoption cost function and of thecomputational Black-Scholes formula;three different models of European calloptions with dividends; and a new, easilyimplemented method for estimating thevolatility parameter.

Reviews of the first edition:

‘… an excellent introduction to thesubject … the book is ideally suited forself-study and provides a very accessibleentry point to this fascinating field.’

P. P. Boyle, ISI Short Book Reviews

Contents: 1. Probability; 2. Normalrandom variables; 3. Geometric Brownianmotion; 4. Interest rates and present valueanalysis; 5. Pricing contracts via Arbitrage;6. The Arbitrage Theorem; 7. The Black-Scholes formula; 8. Valuing by expectedutility; 9. Exotic options; 10. Beyondgeometric Brownian motion models; 11. Autoregressive models and meanreversion; 12. Optimization methods infinance.2003 228 x 152 mm 270pp 19 line diagrams9 tables 150 exercises0 521 81429 4 Hardback £27.95

Logit ModelsFrom Economics and Other FieldsJ. S. CramerUniversiteit van Amsterdam

This text for graduates and practitionersexplains the theory underlying logitanalysis and the technique of estimation.There are many illustrations and workedexamples as well as a large online data setfor practice. Although inspired byeconomics, the book pays due attention todevelopments in medicine and other fields.2003 228 x 152 mm 160pp 15 line diagrams0 521 81588 6 Hardback c. £32.50Publication June 2003

Spatial Data AnalysisTheory and PracticeRobert HainingUniversity of Cambridge

Spatial data is data about the world whereboth the attribute of interest, and itslocation on the earth are recorded. Arethere geographic clusters of disease cases, orhotspots of crime, for example? Thiscomprehensive overview explains all forstudents and researchers in geography,social science and environmental science.2003 247 x 174 mm 458pp 88 line diagrams33 tables0 521 77319 9 Hardback £80.000 521 77437 3 Paperback £29.95Publication April 2003

Journal

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

The primary focus of the journal is onstochastic modelling in the physical andengineering sciences, with particularemphasis on queueing theory, reliabilitytheory, inventory theory, simulation,mathematical finance and probabilisticnetworks and graphs. Papers on analyticproperties and related disciplines are alsoconsidered, as well as more general paperson applied and computational probability,if appropriate. Readers include academicsworking in statistics, operations research,computer science, engineering,management science and physical sciencesas well as industrial practitioners engagedin telecommunications, computer science,financial engineering, operations researchand management science.SubscriptionsVolume 17 in 2003: January, April, July and OctoberInstitutions print and electronic: £290/$450Institutions electronic only: £260/$405Individuals print plus electronic: £74/$112Print ISSN 0269-9648

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10 Numerical Analysis and Computing

New Edition

Numerical Recipes Example Book(C++)The Art of Scientific ComputingSecond editionWilliam T. VetterlingPolaroid CorporationWilliam H. PressLos Alamos National LaboratorySaul A. TeukolskyCornell University, New Yorkand Brian P. FlanneryEXXON Research and Engineering Company

Contains C++ source programs thatexercise and demonstrate all of thesubroutines, procedures, and functions inNumerical Recipes in C++.2002 228 x 152 mm 330pp0 521 75034 2 Paperback £22.95

CD-ROMNew Edition

Numerical Recipes Source Code in C andC++ CD ROM with Windows or MacintoshSingle-Screen LicenseThe Art of Scientific ComputingSecond editionWilliam H. PressHarvard University, MassachusettsBrian P. FlanneryCornell University, New YorkSaul A. TeukolskyPolaroid Corporationand William T. VetterlingEXXON Research and Engineering Company2002 0 521 75037 7 CD-ROM £35.00+VAT

CD-ROMNew Edition

Numerical Recipes Multi-Language Code CDROM with Windows, DOS, or MacintoshSingle-Screen LicenseSource Code for the Second Edition Versions of C,C++, Fortran 77, Fortran 90, and the First EditionVersions of Pascal, BASIC, Lisp and Modula 2 plusmany extrasSecond editionWilliam H. PressLos Alamos National LaboratorySaul A. TeukolskyCornell University, New YorkWilliam T. VetterlingPolaroid Corporationand Brian P. FlanneryEXXON Research and Engineering Company2002 ISO 9660 0 521 75035 0 CD-ROM £59.95+VAT

CD-ROMNew Edition

Numerical Recipes Multi-Language Code CDROM with LINUX or UNIX Single-ScreenLicenseSource Code for the second edition versions of C,C++, Fortran 77, Fortran 90, and the first editionversions of Pascal, BASIC, Lisp and Modula 2 plusmany extrasSecond editionWilliam H. PressLos Alamos National LaboratorySaul A. TeukolskyCornell University, New YorkWilliam T. VetterlingPolaroid Corporationand Brian P. FlanneryEXXON Research and Engineering Company2002 ISO 9660 0 521 75036 9 CD-ROM £99.95+VAT

Textbook

An Introduction to NumericalAnalysisEndre SüliUniversity of Oxfordand David MayersUniversity of Oxford

Based on a successful course at OxfordUniversity, this book gives an authoritativeintroduction to numerical analysis. It isideal as a text for students in the secondyear of a university mathematics course. Itcombines practicality regardingapplications with consistently highstandards of rigour. Numerous exercises areprovided.

Contents: 1. Solution of equations byiteration; 2. Solution of systems of linearequations; 3. Special matrices; 4. Simultaneous nonlinear equations; 5. Eigenvalues and eigenvectors of asymmetric matrix; 6. Polynomialinterpolation; 7. Numerical integration – I;8. Polynomial approximation in the -norm;9. Approximation in the 2-norm; 10. Numerical integration – II; 11. Piecewise polynomial approximation;12. Initial Value Problems for ODEs; 13. Boundary Value Problems for ODEs;14. The Finite Element Method; Appendix1. An overview of results from real analysis;Appendix 2. WWW-resources.2003 228 x 152 mm 430pp 100 line diagrams3 colour plates0 521 81026 4 Hardback c. £65.000 521 00794 1 Paperback c. £24.95Publication April 2003

Numerical Analysisand Computing

New Edition

Numerical Recipes in C++The Art of Scientific ComputingSecond editionWilliam H. PressLos Alamos National LaboratorySaul A. TeukolskyCornell University, New YorkWilliam T. VetterlingPolaroid Corporationand Brian P. FlanneryEXXON Research and Engineering Company

Now, the acclaimed Second Edition ofNumerical Recipes is available in the C++object-oriented programming language.Including and updating the fullmathematical and explanatory contentsof Numerical Recipes in C, this newversion incorporates completely newC++ versions of the more than 300Numerical Recipes routines that arewidely recognized as the most accessibleand practical basis for scientificcomputing.

‘ … an instant ‘classic,’ a book thatshould be purchased and read byanyone who uses numerical methods…’

American Journal of Physics

2002 246 x 168 mm 1032pp 100 line diagrams0 521 75033 4 Hardback £45.00

11

Practical Extrapolation MethodsTheory and ApplicationsAvram SidiTechnion – Israel Institute of Technology, Haifa

This book is concerned with the coherenttreatment, including the derivation,analysis, and applications, of the mostuseful scalar extrapolation methods. Itdiffers from existing books by focusing onthe most powerful nonlinear methods,presenting in-depth treatments of them,and showing which methods are mosteffective for different classes of practicalnontrivial problems. Finally, it shows howto apply these methods to obtain bestresults.Cambridge Monographs on Applied andComputational Mathematics, 102003 247 x 174 mm 544pp0 521 66159 5 Hardback £70.00Publication April 2003

Acta Numerica 2003Volume 12Arieh IserlesUniversity of Cambridge

‘Acta Numerica is a fine achievementand I think we can expect to see it formany years to come. No mathematicslibrary is complete without this annualpublication, and I urge everyoneworking in numerical mathematics andscientific computing to read it.’

Andrew Stuart, SIAM Review

Acta Numerica2003 247 x 174 mm 420pp0 521 82523 7 Hardback c. £50.00Publication May 2003

Radial Basis FunctionsMartin D. BuhmannJustus-Liebig-Universität Giessen, Germany

Radial basis functions are a modern andpowerful tool for parameter estimation,which are becoming of widespread use asthe limitations of other methods becomeapparent. This, the first book devoted tothe subject, aims to give a thoroughtreatment from both the theoretical andpractical implementation viewpoints.Cambridge Monographs on Applied andComputational Mathematics, 122003 228 x 152 mm 250pp0 521 63338 9 Hardback c. £40.00Publication June 2003

Graduate Text

Iterative Krylov Methods for LargeLinear SystemsHenk van der VorstUniversiteit Utrecht, The Netherlands

Based on extensive teaching by the author,this book presents an overview of a numberof Krylov projection methods for thesolution of linear systems of equations.There are a large number of references forfurther reading as well as exercises to helpstudents as they first encounter thematerial.Cambridge Monographs on Applied andComputational Mathematics, 132003 228 x 152 mm 256pp 18 line diagrams0 521 81828 1 Hardback c. £37.50Publication April 2003

Generalized Riemann Problems inComputational Fluid DynamicsMatania Ben-ArtziHebrew University of Jerusalemand Joseph FalcovitzHebrew University of Jerusalem

The Generalized Riemann Problem (GRP)algorithm comprises common schemes ofnumerical simulation of compressible,inviscid time-dependent flow. Thismonograph, including examples illustratingthe algorithm’s applications, presents theGRP methodology beginning with itsunderlying mathematical principles. Thebook is accessible to researchers andgraduate students of applied mathematics,science and engineering.Cambridge Monographs on Applied andComputational Mathematics, 112003 228 x 152 mm 368pp 106 line diagrams0 521 77296 6 Hardback £55.00Publication April 2003

Textbook

3D Computer GraphicsA Mathematical Introduction with OpenGLSamuel R. BussUniversity of California, San Diego

This textbook emphasisesfundamentals and the mathematics underlying 3D computergraphics while also covering programmingtechniques using OpenGL, a platform-independent graphics programmingenvironment. Topics includetransformations and viewing, lighting andshading, ray tracing, radiosity, texturemapping and colour theory, and aspectsof animation, including quaternions,orientation, and inverse kinematics.

Contents: 1. Introduction; 2. Transformations and viewing; 3. Lighting, illumination, and shading;4; Averaging and interpolation; 5. Texture mapping; 6. Color; 7. Beziercurves; 8. B-Splines; 9. Ray tracing; 10. Intersection testing; 11. Radiosity;12. Animation and kinematics;Appendix A. Mathematics background;Appendix B. RayTracing softwarepackage.2003 253 x 177 mm 416pp 186 line diagrams8 colour plates 150 exercises0 521 82103 7 Hardback c. £35.00Publication June 2003

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Numerical Analysis and Computing 11

12 Numerical Analysis and Computing/General and Recreational Maths

Textbook

Modern Computer AlgebraSecond editionJoachim von zur GathenUniversität-Gesamthochschule Paderbornand Jurgen GerhardUniversität-Gesamthochschule Paderborn

This is the new edition of thecomprehensive and authoritative textbookdesigned for advanced undergraduate orgraduate students in computer science ormathematics. It is also an essentialreference for professionals. The text hasbeen smoothed and corrected, and updatedwith new sections including greatestcommon divisors and symbolic integration.

From reviews of the first edition:

‘Wow! What a beautifully producedbook, and what a wealth ofinformation.’

Don Knuth

‘I find the quality of this book reallyexceptional …’.

Zentralblatt für Mathematik

‘… this lively and exciting volumerepresents the state of the art intextbooks on computer algebra. Everystudent and instructor in this area willwant a copy.’

Mathematical Reviews

Contents: Part I. Euclid; Part II. Newton;Part III. Gauss; Part IV. Fermat; Part V.Hilbert.2003 247 x 174 mm 800pp 29 tables563 exercises 49 figures0 521 82646 2 Hardback c. £37.50Publication April 2003

General andRecreational Maths

The Changing Shape of GeometryCelebrating a Century of Geometry andGeometry TeachingEdited by Chris PritchardThe Mathematical Association

This book gives the reader an enjoyableinsight into all things geometrical. Thereare a wealth of popular articles and thirty‘Desert Island Theorems’ fromdistinguished mathematicians including aNobel Laureate and a Pulitzer Prizewinner.For anyone interested in mathematics thisbook will be an enjoyable and rewardingread.2003 247 x 174 mm 560pp 300 line diagrams0 521 82451 6 Hardback £65.000 521 53162 4 Paperback £24.95Co-published with the Mathematical Association and the MAA

Remarkable MathematiciansFrom 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.2003 228 x 152 mm 440pp 60 figures0 521 81777 3 Hardback £50.000 521 52094 0 Paperback £19.95Co-published with the MAA

Textbook

Computational DiscreteMathematicsCombinatorics and Graph Theory withMathematica ®Sriram PemmarajuIndian Institute of Technology, Bombay, andUniversity of Iowaand Steve SkienaState University of New York, Stony Brook

Combinatorica, an extension to thepopular computer algebra systemMathematica®, is the mostcomprehensive software available forteaching and research applications ofdiscrete mathematics. This definitivereference/user’s guide provides examplesof all 450 Combinatorica functions inaction, along with tutorial text on themathematical and algorithmic theory.

Contents: 1. Combinatorica: anexplorer’s guide: 2. Permutations andcombinations; 3. Algebraiccombinatorics; 4. Partitions,compositions, and Young tableaux; 5. Graph representation; 6. Generatinggraphs; 7. Properties of graphs; 8. Algorithmic graph theory.2003 253 x 203 mm 544pp 10 line diagrams138 exercises0 521 80686 0 Hardback c. £35.00Publication August 2003

Journal

Mathematical Structures inComputer ScienceEditor: G. LongoCNRS and Ecole Normale Supérieure, Paris

Mathematical Structures in ComputerScience is a journal of theoretical computerscience which focuses on the application ofideas from the structural side ofmathematics and mathematical logic tocomputer science. The journal aims tobridge the gap between theoreticalcontributions and software design,publishing original papers of a highstandard and broad surveys with originalperspectives in all areas of computing,provided that ideas or results from logic,algebra, geometry, category theory or otherareas of logic and mathematics form a basisfor the work.SubscriptionsVolume 13 in 2003: February, April, June,August, October and DecemberInstitutions print and electronic: £244/$390Institutions electronic only: £220/$352Print ISSN 0960-1295Electronic ISSN 1469-8072

General and Recreational Maths 13

Flexagons Inside OutLes PookUniversity College London

Flexagons are paper models that can beflexed in different ways to change theirshape. They are easy to make, and workin surprising ways. This book explainsthe maths behind flexagons and includesinstructions to make them. Flexagonswill appeal to anyone interested inpuzzles or recreational maths.2003 247 x 174 mm 200pp 200 line diagrams0 521 81970 9 Hardback c. £55.000 521 52574 8 Paperback c. £19.95Publication August 2003

Social Choice and theMathematics of ManipulationAlan D. TaylorUnion College, New York

Learn why it is impossible to devise areasonable voting system in which voterscan never gain by submitting adisingenuous ballot. Using minimalprerequisites, Alan Taylor presentseconomic, philosophic, and mathematicalresults from the last quarter of thetwentieth century, with many new proofs.Outlooks2003 228 x 152 mm 200pp 3 line diagrams80 exercises0 521 81052 3 Hardback c. £47.500 521 00883 2 Paperback c. £17.95

New in Paperback

DissectionsPlane and FancyGreg N. FredericksonPurdue University, Indiana

This is a comprehensive, beautifullyillustrated survey about puzzles in whichone geometric figure is cut into pieces thatrearrange to form another. The authorexplains solution methods carefully,assuming only a basic knowledge of highschool geometry, and gives historicalbackground on the puzzles and theiroriginators.

‘A wonderfully entertaining book …’Scientific American

2003 234 x 177 mm 328pp 528 line diagrams0 521 52582 9 Paperback £16.95Publication March 2003

MAA Publication

Mathematical MiniaturesTitu AndreescuUniversity of Nebraska, Lincolnand Svetoslav Savchev

The authors have grouped problems toillustrate a number of importanttechniques, and provided enlighteningsolutions in all cases. There are numerousessays on diverse topics that are enlivenedby fresh ideas. This book not only teachestechniques but gives a flavour of their past,present and possible future implications.New Mathematical Library2003 228 x 152 mm 236pp 25 line diagrams0 883 85645 X Paperback £19.95

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The Cambridge Companion toPascalEdited by Nicholas HammondUniversity of Cambridge

A convenient and accessible guide toBlaise Pascal presenting the full range ofhis achievement.Cambridge Companions to Philosophy2003 228 x 152 mm 296pp 2 line diagrams3 half-tones0 521 80924 X Hardback £42.500 521 00611 2 Paperback £15.95Publication April 2003

MAA Publication

The William Lowell PutmanMathematical CompetitionProblems, Solutions and CommentaryKiran KedlayaUniversity of California, BerkeleyBjorn PoonenUniversity of California, Berkeleyand Ravi VakilStanford University, California

The William Lowell Putnam MathematicalCompetition is the premier undergraduatemathematical competition in NorthAmerica. This volume contains problemsfrom the years 1985–2000, with solutionsand extensive commentary. The authorsexplain techniques that have relevancebeyond the problem at hand and suggestreferences for further reading.Spectrum2003 228 x 152 mm 352pp 30 line diagrams0 883 85807 X Paperback £29.95

Senior Mathematical ChallengeThe UK National Mathematics Contest1988–1996Tony Gardiner

This book contains the 1988–1996National Mathematics Contest papers withfull solutions and additional problems.2002 239 x 170 184pp 1 colour book0 521 66567 1 Paperback £12.95

MAA Publication

Mathematical DiamondsRoss HonsbergerUniversity of Waterloo, Ontario

Ross Honsberger has brought togetheranother wonderful collection of elementarymathematical problems and their solutionsabounding in striking surprises andbrilliant ideas that reflect the beauty ofmathematics. This book is ideal forstudents, teachers and anyone interested inrecreational mathematics.Dolciani Mathematical Expositions, 262003 228 x 152 mm 256pp 125 line diagrams0 883 85332 9 Paperback £21.95

14 General and Recreational Maths

Journal

European Journal of AppliedMathematicsEditors-in-Chief: J. R. Ockendon, FRSUniversity of Oxfordand S. D. HowisonUniversity of Oxford

EJAM is a flourishing journal for originalwork in areas of mathematics in which anunderstanding of the application requiresthe use of new and interestingmathematical ideas. The advent ofpowerful user-friendly computer codes inscience and industry has increasingly ledresearch workers to pose their problems inmathematical terms. Such activityfrequently leads to a need for newmathematical analysis at a high level. EJAMfocuses on mathematics inspired by real-world applications, fostering thedevelopment of theoretical methods withbroad areas of applicability. SubscriptionsVolume 14 in 2003: February, April, June,August, October and DecemberInstitutions print and electronic: £238/$378Institutions electronic only: £215/$340European Consortium on Mathematics in Industry,Society of Industrial and Applied Mathematics,Gesellschaft für Angewandte Mathematik undMechanik, Société de Mathématiques Appliquées etIndustrielles, Institute of Mathematics and itsApplications, London Mathematical Society: £86/$138Print ISSN 0956-7925Electronic ISSN 1469-4425

Journal

Proceedings of the EdinburghMathematical SocietyManaging Editor: Winston SweatmanNapier University, Edinburgh

Published for the Edinburgh MathematicalSociety

The Edinburgh Mathematical Society wasfounded in 1883 and over the years, hasevolved into the principal society for thepromotion of mathematics research inScotland. The Society has published itsProceedings since 1884. This containsresearch papers on topics in a broad rangeof pure and applied mathematics, togetherwith a number of topical book reviews. SubscriptionsVolume 46 in 2003: February, June,OctoberInstitutions print and electronic: £150/$248Institutions electronic only: £135/$225Print ISSN 0013-0915Electronic ISSN 1464-3839

Journal

Glasgow Mathematical JournalEditor-in-Chief: A. W. MasonUniversity of Glasgow

Published for the Glasgow MathematicalJournal Trust

The Glasgow Mathematical Journalpublishes original research papers in anybranch of pure and applied mathematics.An international journal, its policy is tofeature a wide variety of research areas,which in recent issues have included ringtheory, group theory, functional analysis,combinatorics, differential equations,differential geometry, number theory,algebraic topology, and the application ofsuch methods in applied mathematics.SubscriptionsVolume 45 in 2003: February, May andSeptemberInstitutions print and electronic: £126/$212Institutions electronic only: £112/$190Print ISSN 0017-0895Electronic ISSN 1469-509X

Journal

Mathematical Proceedings of theCambridge Philosophical SocietyEditor: C. B. ThomasUniversity of Cambridge

Mathematical Proceedings is one of the fewhigh-quality journals publishing originalresearch papers that cover the whole rangeof pure and applied mathematics,theoretical physics and statistics. Allbranches of pure mathematics are covered,in particular logic and foundations,number theory, algebra, geometry, algebraicand geometric topology, classical andfunctional analysis, differential equations,probability and statistics. On the appliedside, mechanics, mathematical physics,relativity and cosmology are included.SubscriptionsVolumes 134-135 in 2003: January,March, May, July, September andNovemberInstitutions print and electronic: £354/$582Institutions electronic only: £319/$524Special arrangements exist for members of CambridgePhilosophical Society.Print ISSN 0305-0041Electronic ISSN 1469-8064

Uncertain Science… UncertainWorldHenry N. PollackUniversity of Michigan, Ann Arbor

Using science headlines and everydayexamples, this engaging book describeswhy science is uncertain for the generalreader.2003 228 x 152 mm 256pp0 521 78188 4 Hardback £18.95

How to Write and Illustrate aScientific PaperBjörn GustaviiUniversity Hospital, Lund, Sweden

Step-by-step guide to writing a scientificpaper and to presenting and illustrating theinformation effectively.2003 228 x 152 mm 160pp 43 line diagrams1 half-tone 7 tables0 521 82323 4 Hardback £40.000 521 53024 5 Paperback £13.95Publication May 2003

Who Wants to be a Scientist?Choosing Science as a CareerNancy RothwellUniversity of ManchesterIllustrated by Smudge

Essential information for anyoneconsidering a career in scientific research.2002 228 x 152 mm 176pp 13 line diagrams0 521 81773 0 Hardback £40.000 521 52092 4 Paperback £14.95

Journal

Journal of the Institute ofMathematics of Jussieu

Editor: Colette MoeglinUniversité Paris VI

Published for the Institute of Mathematics ofJussieu

The Journal of the Institute of Mathematicsof Jussieu is a new publication covering alldomains in pure mathematics. It includesimportant research articles from areas suchas operator algebra, number theory,algebraic and Lie groups, differential andsymplectic geometry, partial differentialequations, Banach spaces, potential theory,mathematical physics, and probability.Logic and applied mathematics are alsoconsidered, particularly where directconnections to pure mathematics are clear.The Journal readily accepts articles in alllanguages though the standard will beEnglish, and its international editorialboard naturally draws upon the broadexpertise of the prestigious JussieuMathematical Institute.SubscriptionsVolume 2 in 2003: January, April, Julyand OctoberInstitutions print and electronic: £126/$188Institutions electronic only: £114/$170Print ISSN 1474-7480Electronic ISSN 1475-3030

15

BestsellersTextbook

Wave MotionJ. BillinghamUniversity of Birminghamand A. C. KingUniversity of Birmingham

‘… the great strength of the book …lies in the clarity of exposition of themathematical solution of the waveequations and of the physicalinterpretation of these solutions … thisis an excellent book, which isthoroughly recommended … it ought tobecome the standard textbook foranyone taking an undergraduate coursein mathematical wave theory.’

Journal of Fluid Mechanics

‘… a clearly written book which coversa surprisingly wide variety of topics …an excellent introduction to thisfascinating area of applied mathematics.’

A. Jeffrey, Zentralblatt für Mathematik

Contents: Introduction; Part I. LinearWaves: 1. Basic ideas; 2. Waves on astretched string; 3. Sound waves; 4. Linearwater waves; 5. Waves in elastic solids; 6. Electromagnetic waves; Part II.Nonlinear Waves: 7. The formation andpropagation of shock waves; 8. Nonlinearwater waves; 9. Chemical andelectrochemical waves; Part III. AdvancedTopics: 10. Burgers’ equation; 11. Diffraction and scattering; 12. Solitonsand the inverse scattering transform;Appendix. Useful mathematical formulasand physical data; Bibliography; Index.Cambridge Texts in Applied Mathematics, 242001 228 x 152 mm 478pp 10 half-tones 3 colourplates 1 table 98 exercises 160 figures0 521 63257 9 Hardback £75.000 521 63450 4 Paperback £26.95

Mathematics of Genome AnalysisJerome K. PercusNew York University

Contents: Preface; 1. Decomposing DNA;2. Recomposing DNA; 3. Sequencestatistics; 4. Sequence comparison; 5. Spatial structure and dynamics of DNA;Bibliography; Index.Cambridge Studies in Mathematical Biology, 172001 228 x 152 mm 150pp0 521 58517 1 Hardback £40.000 521 58526 0 Paperback £14.95

All the Mathematics You MissedBut Need to Know for Graduate SchoolThomas A. GarrityWilliams College, MassachusettsIllustrated by Lori Pedersen

This book will help students inmathematics and other quantitativesubjects to fill in the gaps in theirpreparation for graduate school. It presentsthe basic points, a few key results, and anannotated reading list of the mostimportant undergraduate topics inmathematics: linear algebra, vectorcalculus, geometry, real analysis, point-settopology, probability, set theory, and more.2002 228 x 152 mm 376pp 177 line diagrams2 tables 94 exercises0 521 79707 1 Paperback £17.950 521 79285 1 Hardback £37.50

The Theory of Information andCodingSecond editionRobert McElieceCalifornia Institute of Technology

A revised version of McEliece’s classic, thisvolume is a self-contained introduction tothe basic results in the theory ofinformation and coding. It is ideal eitherfor self-study, or for agraduate/undergraduate level course atuniversity. The text includes dozens ofworked examples and several hundredproblems for solution.Encyclopedia of Mathematics and itsApplications, 862002 234 x 156 mm 410pp 108 line diagrams15 tables0 521 00095 5 Hardback £60.00

Author and TitleIndex3D Computer Graphics, 11AAblowitz, Mark J., 1Acta Numerica 2003, 11Affine Hecke Algebras and Orthogonal

Polynomials, 3Aiena, Pietro, 4All the Mathematics You Missed, 15Allouche, Jean-Paul, 3An Elementary Introduction to Mathematical

Finance, 9An Introduction to Numerical Analysis, 10Andreescu, Titu, 13Automatic Sequences, 3BBaader, Franz, 2Babelon, Olivier, 5Banks, John, 6Barenblatt, Grigori, 7Batchelor, G. K., 7Ben-Artzi, Matania, 11Bernard, Denis, 5Billingham, J., 6, 15Birch FRS, Bryan J., 5Biskamp, Dieter, 7Blower, Gordon, 4Bollobás, Béla, 2Braun, John, 8Buhmann, Martin D., 11Bulletin of the London Mathematical Society, 4Buss, Samuel R., 11CCalvanese, Diego, 2Cambridge Companion to Pascal, The, 13Campbell, Colin, 4Changing Shape of Geometry, The, 12Chaos: A Mathematical Introduction, 6Chaumont, Loic, 8Cohen, Graeme, 1Cohomology of Vector Bundles and Syzygies, 3Combinatorics, Probability & Computing, 2Complex Variables, 1Computational Discrete Mathematics, 12Course in Modern Analysis and its Applications,

A, 1Cramer, J. S., 9DDales, Garth, 4Data Analysis and Graphics Using R, 8Davenport, J. H., 5Davidoff, Giuliana, 3Davis, Stephen H., 7Davison, A. C., 8Description Logic Handbook, The, 2Differential Equations, 6Dissections, 13Doran, Chris, 5Dragan, Valentina, 6Duistermaat, J. J., 1EElementary Number Theory, Group Theory and

Ramanujan Graphs, 3Elementary Probability, 8Erdmann, Karin, 5Ergodic Theory and Dynamical Systems, 7Eschmeier, Jörg, 4European Journal of Applied Mathematics, 14Exact Solutions of Einstein's Field Equations, 5

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Bestsellers/Author and Title Index 15

16 Author and Title Index

Exercises in Probability, 8FFalcovitz, Joseph, 11Fefferman, Robert, 1First Course in Dynamics, A, 6Flannery, Brian P., 10Flexagons Inside Out, 13Fokas, Athanassios S., 1Forster, Thomas, 4Frederickson, Greg N., 13GGalois Groups and Fundamental Groups, 3Gardiner, Tony, 13Garrity, Thomas A., 15Generalized Riemann Problems in

Computational Fluid Dynamics, 11Geometric Algebra for Physicists, 5Gerhard, Jurgen, 12Gesztesy, Fritz, 7Gladwell, I., 6Glasgow Mathematical Journal, 14Graph Directed Markov Systems, 1Green, Richard, 4Groups St Andrews 2001 in Oxford, 4Gustavii, Björn, 14HHaining, Robert, 9Hammond, Nicholas, 13Hasselblatt, Boris, 6Herlt, Eduard, 5Hodge Theory and Complex Algebraic

Geometry I, 3Hodge Theory and Complex Algebraic

Geometry II, 3Hoenselaers, Cornelius, 5Holden, Helge, 7Honsberger, Ross, 13How to Write and Illustrate a Scientific Paper,

14Howison, S. D., 14IIntroduction to Banach Algebras, Operators and

Harmonic Analysis, 4Introduction to Classical Integrable Systems, 5Introduction to Operator Space Theory, 4Iserles, Arieh, 11Iterative Krylov Methods for Large Linear

Systems, 11JJames, Ioan, 12Jameson, G. J. O., 3Jaynes, E. T., 8Johnson, F. E. A., 4Jones, Arthur, 6Journal of Fluid Mechanics, 7Journal of the Institute of Mathematics of

Jussieu, 14Journal of the London Mathematical Society, 4KKatok, Anatole, 6Kedlaya, Kiran S., 13King, A. C., 6, 15Kolk, J. A. C., 1Kramer, Dietrich, 5Kurths, Jürgen, 5LLasenby, Anthony, 5Laursen, Kjeld, 4Lawvere, W., 2Lectures in Logic and Set Theory, 2LMS Journal of Computation and Mathematics,

5

Logic, Induction and Sets, 4Logit Models, 9Longo, G., 12MMacCallum, Malcolm, 5Macdonald, I. G., 3Magnetohydrodynamic Turbulence, 7Maindonald, John, 8Mason, A. W., 14Mathematical Diamonds, 13Mathematical Miniatures, 13Mathematical Proceedings of the Cambridge

Philosophical Society, 14Mathematical Structures in Computer Science,

12Mathematics of Genome Analysis, 15Mauldin, Dan, 1Mayers, David, 10McEliece, Robert, 15McGuinness, Deborah, 2Modern Computer Algebra, 12Moeglin, Colette, 14Moffatt, H. K., 7Mora, Teo, 3More Games of No Chance, 2Multidimensional Real Analysis, 1Multidimensional Real Analysis, I, 1Multidimensional Real Analysis, II, 1NNardi, Daniele, 2Nowakowski, Richard J., 2Numerical Recipes Example Book (C++), 10Numerical Recipes in C++, 10Numerical Recipes Multi-Language Code CD

ROM with LINUX or UNIX Single-ScreenLicense, 10

Numerical Recipes Multi-Language Code CDROM with Windows, DOS, or MacintoshSingle-Screen License, 10

Numerical Recipes Source Code in C and C++CD ROM with Windows or MacintoshSingle-Screen License, 10

OOckendon, FRS, J. R., 14Otto, S., 6PPartington, Jonathan R., 4Patel-Schneider, Peter, 2Pedersen, Lori, 15Pedley, T. J., 7Pemmaraju, Sriram, 12Percus, Jerome K., 15Perspectives in Fluid Dynamics, 7Pikovsky, Arkady, 5Pisier, Gilles, 4Pollack, Henry N., 14Pook, Les, 13Poonen, Bjorn, 13Practical Extrapolation Methods, 11Press, William H., 10Prime Number Theorem, The, 3Primer of Analytic Number Theory, A, 2Pritchard, Chris, 12Probability in the Engineering and

Informational Sciences, 9Probability Theory, 8Proceedings of the Edinburgh Mathematical

Society, 14Proceedings of the London Mathematical

Society, 5RRadial Basis Functions, 11

Remarkable Mathematicians, 12Robertson, Edmund, 4Rosebrugh, R., 2Rosenblum, Michael, 5Ross, Sheldon M., 9Rothwell, Nancy, 14SSarnak, Peter, 3Savchev, Svetoslav, 13Scaling, 7Schneps, Leila, 3Senior Mathematical Challenge, 13Sets for Mathematics, 2Shallit, Jeffrey, 3Shampine, L. F., 6Sidi, Avram, 11Skiena, Steven, 12Smith, Geoff, 4Smudge, 14Social Choice and the Mathematics of

Manipulation, 13Soliton Equations and Their Algebro-Geometric

Solutions, 7Solving ODEs with MATLAB, 6Spatial Data Analysis, 9Stable Modules and the D(2)-Problem, 4Statistical Models, 8Stephani, Hans, 5Stirzaker, David, 8Stopple, Jeffrey, 2Süli, Endre, 10Sweatman, Winston, 14Synchronization, 5Systems of Polynomial Equations I, 3TTalon, Michel, 5Taylor, Alan D., 13Teukolsky, Saul A., 10Theory of Information and Coding, The, 15Thomas, C. B., 14Thompson, S., 6Tourlakis, George, 2Trigonometric Series, 1Truss, John K., 5UUncertain Science... Uncertain World, 14Urbanski, Mariusz, 1VVakil, Ravi, 13Valette, Alain, 3van der Vorst, Henk, 11van Strien, S., 7Vetterling, William T., 10Voisin, Claire, 3von zur Gathen, Joachim, 12WWalters, P., 7Wave Motion, 15Weyman, Jerzy, 3Who Wants to be a Scientist?, 14William Lowell Putman Mathematical

Competition 1985–2000, The, 13Willis, George, 4Worster, M. G., 7YYor, Marc, 8ZZygmund, A., 1

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