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www.cambridge.org/mathematics 2002

MathematicsAutumn

Analysis andProbability

Logic, Foundationsand Combinatorics

Algebra, Geometryand Number Theory

LMS Books andJournals

Mathematics forScience andEngineering

Dynamics andMechanics

Statistics, Probabilityand Finance

Numerical Analysisand Computing

General Interest andRecreational Maths

Bestsellers

ContentsAnalysis and Probability 1Logic, Foundations and

Combinatorics 2Algebra, Geometry and Number

Theory 3LMS Books and Journals 5Mathematics for Science and

Engineering 6Dynamics and Mechanics 8Statistics, Probability and Finance 10Numerical Analysis and Computing 11General Interest and Recreational

Maths 13Bestsellers 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 11 for more information

The Cambridge Dictionary of Statistics Second EditionBrian S. Everitt

• Revised and expanded, with over 3500 definitions

• Features potted biographies of importantstatisticians

• Lively descriptions, with suggestions for furtherreading


An Elementary Introduction to MathematicalFinanceOptions and Other TopicsSecond EditionSheldon M. Ross

• Written for elementary courses in mathematicalfinance

• New sections on Value at Risk, optimisationmethods and more

• Plenty of examples and exercises to illustrate andreinforce ideas


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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([email protected])

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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.


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access to the electronic version of the journal during 2002. Full text isavailable FREE to all individuals within the registered domain address

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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.

Analysis and Probability 1

Analysis andProbability

Textbook

An InteractiveIntroduction toMathematical Analysiswith CD-ROMJ. LewinKennesaw State University

This is a rigorous course inthe calculus of functions of a realvariable. Its gentle approach makes itespecially suitable for students who arenot headed for graduate school but, forthose who are, it provides theopportunity to engage in a penetratingstudy of real analysis. The book comeswith a CD featuring an on-screenversion of the material; hundreds oflinks to further material including videopresentations, more completeexplanations and solutions to exercisesfor lecturers.

Contents: 1. The emergence of rigorouscalculus; 2. Mathematical grammar; 3. Strategies for writing proofs; 4. Elements of set theory; 5. The realnumber system; 6. Elementary topologyof the real line; 7. Limits of sequences;8. Limits and continuity of functions; 9. Differentiation; 10. The exponentialand logarithmic functions; 11. TheRiemann integral; 12. Infinite series; 13. Improper integrals; 14. Sequencesand series of functions; 15. Calculus ofa complex variable; 16. Integration offunctions of two variables; 17. Sets ofmeasure zero; 18. Calculus of severalvariables.2002 240 x 215 mm 525pp0 521 81589 4 Hardback c. £75.000 521 01718 1 Paperback c. £27.95Publication November 2002

Textbook

A Second Course in MathematicalAnalysisJ. C. BurkillUniversity of Cambridgeand H. BurkillUniversity of Sheffield

The classic textbook from Burkill andBurkill, now available in the CambridgeMathematical Library. This straightforwardcourse is intended for students who alreadyhave a working knowledge of calculus.Clear exposition, logical development anda wealth of illuminating examples ensurethat this book will appeal to students ofanalysis.

Contents: 1. Sets and functions; 2. Metricspaces; 3. Continuous functions on metricspaces; 4. Limits in the spaces R and Z; 5. Uniform convergence; 6. Integration; 7. Functions from Rm to Rn; 8. Integralsin Rn; 9. Fourier series; 10. Complexfunction theory; 11. Complex integrals,Caucy’s theorem; 12. Expansions,singularities, residues; 13. Generaltheorems, analytic functions; 14. Applications to special functions.Cambridge Mathematical Library2002 228 x 152 mm 526pp 3 line diagrams0 521 52343 5 Paperback c. £29.95Publication November 2002

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 320pp 16 line diagrams165 exercises0 521 81996 2 Hardback c. £65.000 521 52627 2 Paperback c. £24.95Publication January 2003

Graduate Text

Introduction toSymmetry AnalysisBrian J. CantwellStanford University

A broad, self-contained, introduction tothe basics of symmetry analysis for firstand second year graduate students inscience, engineering and appliedmathematics. The text emphasisesapplications, and numerous workedexamples are used to illustrate basicconcepts. Mathematica-based software isincluded on a CD for easy access to theexamples.

Contents: Preface; 1. Introduction tosymmetry; 2. Dimensional analysis; 3. Systems of ODE’s, first order PDE’s,state-space analysis; 4. Classicaldynamics; 5. Introduction to one-parameter Lie groups; 6. First orderordinary differential equations; 7. Differential functions and notation;8. Ordinary differential equations; 9. Partial differential equations; 10. Laminar boundary layers; 11. Incompressible flow; 12.Compressible flow; 13. Similarity rulesfor turbulent shear flows; 14. Lie-Bäcklund transformations; 15. Invariance condition for integrals,variational symmetries; 16. Bäcklundtransformations and non-local groups;Appendix 1. Review of calculus and thetheory of contact; Appendix 2.Invariance of the contact conditionsunder Lie point transformation groups;Appendix 3. Infinite-order structure ofLie-Bäcklund transformations;Appendix 4. Symmetry analysissoftware.Cambridge Texts in Applied Mathematics, 292002 228 x 152 mm 656pp 107 line diagrams5 half-tones 2 colour plates 20 tables131 exercises0 521 77183 8 Hardback £95.000 521 77740 2 Paperback £35.95Publication October 2002

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2 Analysis and Probability / Logic, Foundations and Combinatorics

MAA Publication

Inequalities From ComplexAnalysisJohn P. D’AngeloUniversity of Illinois

Inequalities from Complex Analysis is acareful, friendly exposition of some ratherinteresting mathematics. The author gives anovel presentation of some standardmathematics as well as some results fromrecent research. Numerous examples,exercises and discussions aid the reader.The book is accessible to undergraduatemathematicians, physicists and engineers.Carus Mathematical Monographs, 282002 228 x 152 mm 280pp0 883 85033 8 Hardback £29.95

MAA Publication

Ordinary Differential EquationsA Brief Eclectic TourDavid SánchezTexas A & M University

For anyone confronting an introductorycourse in ordinary differential equationsthere is a need for a brief guide to the keyconcepts. This book is intended as thatguide and the author has included a greatmany illuminating examples anddiscussions that uncover the conceptualheart of the matter.Classroom Resource Material2002 247 x 174 mm 144pp 50 line diagrams0 883 85723 5 Paperback £21.95

Graduate Text

Real Analysis and ProbabilityR. M. DudleyMassachusetts Institute of Technology, Cambridge

This classic graduate textbook offers a clearexposition of modern probability theoryand of the interplay between the propertiesof metric spaces and probability measures.The comprehensive historical notes havebeen further amplified for this new edition,and a number of new exercises have beenadded, together with hints for solution.

‘A marvellous work which will soonbecome a standard text in the field forboth teaching and reference … acomplete and pedagogically perfectpresentation of both the necessarypreparatory material of real analysis andthe proofs throughout the text. Some ofthe topics and proofs are rarely found inother textbooks.’

Proceedings of the EdinburghMathematical Society

Contents: 1. Foundations: set theory; 2. General topology; 3. Measures; 4. Integration; 5. Lp spaces: introduction tofunctional analysis; 6. Convex sets andduality of normed spaces; 7. Measure,topology, and differentiation; 8. Introduction to probability theory; 9. Convergence of laws and central limittheorems; 10. Conditional expectationsand martingales; 11. Convergence of lawson separable metric spaces; 12. Stochasticprocesses; 13. Measurability: Borelisomorphism and analytic sets; Appendixes:A. Axiomatic set theory; B. Complexnumbers, vector spaces, and Taylor’stheorem with remainder; C. The problemof measure; D. Rearranging sums ofnonnegative terms; E. Pathologies ofcompact nonmetric spaces; Indices.Cambridge Studies in Advanced Mathematics, 742002 228 x 152 mm 72pp 400 exercises0 521 80972 X Hardback £90.000 521 00754 2 Paperback £32.95Publication October 2002

Complex PolynomialsT. B. Sheil-SmallUniversity of York

This book studies the geometric theory ofpolynomials and rational functions in theplane. The theory is carefully constructedbearing in mind the needs of graduatestudents. Several unsolved problems arepresented as well as the full solutions tosome well known conjectures.Cambridge Studies in Advanced Mathematics, 752002 228 x 152 mm 450pp0 521 40068 6 Hardback c. £60.00Publication October 2002

Integral Geometry and GeometricProbabilityLuis SantaloUniversidad de Buenos Aires, Argentina

Now available in the CambridgeMathematical Library, this classic text is asystematic exposition of the theory and acompilation of its important results. Canbe used to complement courses ondifferential geometry, Lie groups,probability or differential geometry. Anideal text and reference and for thoseentering the field.Cambridge Mathematical Library2002 228 x 152 mm 404pp 55 line diagrams0 521 52344 3 Paperback c. £25.95Publication November 2002

New Edition

Harmonic Maps, ConservationLaws and Moving FramesSecond editionFrédéric HéleinEcole Normale Supérieure de Cachan

An accessible and self-containedintroduction to harmonic map theory andits analytical aspects, covering recentdevelopments in the regularity theory ofweakly harmonic maps. The book will beof particular interest to graduate studentsand researchers in geometry, analysis ofpartial differential equations andmathematical physics.Cambridge Tracts in Mathematics, 1502002 228 x 152 mm 290pp0 521 81160 0 Hardback £47.50

Logic, Foundationsand Combinatorics

Continuous LatticesGerhard GierzUniversity of California, RiversideKarl HofmannTechnische Universität, DarmstadtKlaus KeimelTechnische Universität, DarmstadtJimmie LawsonLouisiana State UniversityMichael MisloveTulane Universityand Dana S. ScottCarnegie Mellon University, Pennsylvania

Information content and programmingsemantics are just two of the applicationsof the mathematical concepts of order,continuity and domains. This authoritativeand comprehensive account of the subjectwill be an essential handbook for all thoseworking in the area.2003 234 x 156 mm 620pp0 521 80338 1 Hardback c. £75.00Publication January 2003

Logic, Foundations and Combinatorics / Algebra, Geometry and Number Theory 3

Logic and Set TheoryVolume 1: Mathematical LogicGeorge TourlakisYork University, Toronto

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.Cambridge Studies in Advanced Mathematics, 822002 228 x 152 mm 352pp0 521 75373 2 Hardback c. £45.00Publication November 2002

Logic and Set TheoryVolume 2: Set TheoryGeorge TourlakisYork University, Toronto

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 c. £60.00Publication January 2003

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.The 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,randomised algorithms, probabilisticanalysis of algorithms, computationallearning theory and optimisation. SubscriptionsVolume 12 in 2003: January, March,May, July, September and NovemberInstitutions print and electronic: £184Institutions electronic only: £165Institutions print only: £165Print ISSN 0963-5483Electronic ISSN 1469-2163

Algebra, Geometryand Number Theory

Textbook

Algebra and GeometryAlan BeardonUniversity of Cambridge

Describing two cornerstones ofmathematics, this basic textbookpresents a unified approach to algebraand geometry. Each topic is used todescribe and discuss the others, withmany ideas developed gradually throughthe book. The text is divided into shortchapters, each with exercises at the end.The accompanying CD features anHTML version of the book, extra textat higher and lower levels, and moreexercises and examples. It also links toan electronic maths thesaurus, givingdefinitions, examples and links both tothe book and to external sources.

Contents: Part I: 1. The real numbers;2. The complex plane; 3. Vectors inthree dimensions; 4. Sphericalgeometry; Part II: 5. Permutations anddeterminants; 6. Vector spaces; 7. Matrices; 8. Linear equations; 9. Eigenvectors; 10. Orthonormal basesof Euclidean space; Part III: 11. Groups;12. Group actions; 13. The Möbiusgroup; 14. Matrix groups.2002 228 x 152 mm 300pp 40 line diagrams0 521 81362 X Hardback c. £60.000 521 89049 7 Paperback c. £19.95

Hodge Theory and ComplexAlgebraic Geometry IClaire VoisinCentre de Mathématiques de Jussieu

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 algebraicgeometry.Cambridge Studies in Advanced Mathematics, 762003 228 x 152 mm 332pp 30 exercises0 521 80260 1 Hardback c. £55.00Publication January 2003

MAA Publication

Ergodic Theory of NumbersKarma DajaniUniversity of Utrechtand Cor KraaikampTechnical University of Delft

This book introduces the ergodic theorybehind common number expansions –decimal expansions, continued fractionsand many others. It is aimed at introducingstudents with a background in real analysisto a ‘dynamical way of thinking’. Subjectmatter varies from the classical to recentresearch which will interest researchers inthe field.Carus Mathematical Monographs2002 140 x 206 mm 176pp0 883 85034 6 Hardback £27.50Publication October 2002

An Algebraic Introduction to K-TheoryBruce A. MagurnMiami University, Ohio

This is an introduction to algebraic K-theory with no prerequisite beyond a firstsemester of algebra (including Galoistheory and modules over a principal idealdomain). The presentation is almostentirely self-contained, and is divided intoshort sections with exercises to reinforcethe ideas and suggest further lines ofinquiry.Encyclopedia of Mathematics and itsApplications, 872002 234 x 156 mm 690pp0 521 80078 1 Hardback £75.00

Visit our website at www.cambridge.org

4 Algebra, Geometry and Number Theory

Generic PolynomialsConstructive Aspects of the Inverse GaloisProblemChristian JensenUniversity of CopenhagenArne LedetUniversity of Waterloo, Ontarioand Noriko YuiQueen’s University, Ontario

The main theme in this book is aconstructive approach to the Inverse Galoisproblem. The existence of certain ‘Generic’polynomials, which give all Galoisextensions having the required group astheir Galois group, is demonstrated andwhere they do exist, a detailed treatment oftheir construction is given. Mathematical Sciences Research InstitutePublications, 452002 234 x 156 mm 256pp 7 line diagrams1 table 88 exercises0 521 81998 9 Hardback c. £40.00Publication November 2002

Completely Bounded Maps andOperator AlgebrasVern PaulsenUniversity of Houston

This is a self-contained introduction to theprincipal results and ideas in the theories ofcompletely positive maps, completelybounded maps, dilation theory, operatorspaces and operator algebras, plus some oftheir main applications. An indispensableintroduction to the theory of operatorspaces for graduate students and expertsalike.Cambridge Studies in Advanced Mathematics, 782002 228 x 152 mm 312pp0 521 81669 6 Hardback c. £47.50Publication November 2002

New Directions in Hopf AlgebrasEdited by S. MontgomeryUniversity of Southern Californiaand Hans-Jurgen SchneiderUniversity of Munich

These articles form a broad survey of thisexciting field. Topics include pointed Hopfalgebras, triangular Hopf algebras, Hopfalgebra extensions and cohomology,quantum groups and groupoids, quantumsymmetric pairs, monoidal categories, andthe Brauer group of a Hopf algebra.Mathematical Sciences Research InstitutePublications, 432002 234 x 156 mm 496pp0 521 81512 6 Hardback £55.00

Permutation Group AlgorithmsAkos SeressOhio State University

Permutation group algorithms wereinstrumental in the proof of many deepresults. This book describes the theory, upto the most recent developments andincludes hints for implementation andadvanced exercises. It is recommended foreveryone interested in using computers ingroup theory, and is suitable for advancedgraduate courses.Cambridge Tracts in Mathematics, 1522002 228 x 152 mm 276pp 30 line diagrams0 521 66103 X Hardback c. £47.50Publication November 2002

Geometry of Sporadic GroupsVolume 2: Representations and AmalgamsA. A. IvanovImperial College of Science, Technology and Medicine,Londonand S. V. ShpectorovBowling Green State University, Ohio

This is the second volume in a two-volumeset, which will provide the complete proofof classification of two important classes ofgeometries, closely related to each other:Petersen and tilde geometries. It is anessential purchase for researchers into finitegroup theory, finite geometries andalgebraic combinatorics.Encyclopedia of Mathematics and itsApplications, 912002 228 x 152 mm 304pp 55 line diagrams15 tables0 521 62349 9 Hardback £50.00

Classical Covariant FieldsMark BurgessOslo University College

This book discusses the classicalfoundations of field theory, using thelanguage of variational methods andcovariance, and relating the subject toquantum field theory. Ideal as asupplementary text for graduate courses onelementary field theory, group theory anddynamical systems. Also a valuablereference for researchers.Cambridge Monographs on MathematicalPhysics2002 247 x 174 mm 552pp 14 line diagrams7 tables0 521 81363 8 Hardback £65.00

An Introduction to Invariants andModuliShigeru MukaiNagoya University, JapanTranslated by W. M. OxburyUniversity of Durham

This volume consists of the first twovolumes of Mukai’s series on Modulitheory. The work contained here is centralto geometry but has also foundapplications in a wide range of other areas.

This book will be a valuable resource forgraduate students and researchers alike.Cambridge Tracts in Mathematics, 1482002 228 x 152 mm 200pp0 521 80906 1 Hardback c. £55.00Publication December 2002

Frobenius Manifolds and ModuliSpaces for SingularitiesClaus HertlingMax Planck Institut für Mathematik, Bonn

The author presents the theory ofFrobenius manifolds, as well as all thenecessary tools and several applications.Readers will find here a careful study ofthis exciting branch of maths. This bookwill serve as an excellent resource forresearchers and graduate students wishingto work in this area.Cambridge Tracts in Mathematics, 1512002 228 x 152 mm 280pp 7 line diagrams0 521 81296 8 Hardback £45.00

Abstract Regular PolytopesPeter McMullenUniversity College Londonand Egon SchulteNortheastern University, Boston

Abstract regular polytopes are highlysymmetric combinatorial structures withdistinctive geometric, algebraic ortopological properties. This comprehensiveup-to-date account of the subject meets acritical need for a text in this area; no bookhas been published in this topic sinceCoxeter’s Regular Polytopes (1948) andRegular Complex Polytopes (1974).Encyclopedia of Mathematics and itsApplications, 832002 234 x 156 mm 500pp 65 line diagrams23 tables0 521 81496 0 Hardback c. £65.00Publication December 2002

Abelian Varieties, Theta Functionsand the Fourier TransformAlexander PolishchukBoston University

The aim of this book is to present amodern treatment of the theory of thetafunctions in the context of algebraicgeometry. The novelty of its approach liesin the systematic use of the Fourier-Mukaitransform.Cambridge Tracts in Mathematics, 1532002 228 x 152 mm 280pp 88 exercises0 521 80804 9 Hardback c. £47.50Publication November 2002

Algebra, Geometry and Number Theory / LMS Books and Journals 5

LMS Books andJournals

LMS PublicationTextbook

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

The prime number theorem is indisputablyone of the great classical theorems ofmathematics. Suitable for advancedundergraduates and beginning graduates,this textbook demonstrates how the toolsof analysis can be used in number theory toattack a famous problem.

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, 532002 228 x 152 mm 250pp 1 line diagram0 521 81411 1 Hardback c. £47.500 521 89110 8 Paperback c. £17.95Publication December 2002


Topics in Graph Automorphismsand ReconstructionJosef LauriUniversity of Maltaand Raffaele ScapellatoPolitecnico di Milano

An in-depth look at selected areas of graphtheory, with a focus on symmetryproperties of graphs. Any student whomasters the contents of this book will bewell prepared for current research in manyaspects of the theory of graphautomorphisms and the reconstructionproblem.

Contents: 1. Graphs and groups:preliminaries; 2. Various types of graphsymmetry; 3. Cayley graphs; 4. Orbitalgraphs and strongly regular graphs; 5. Graphical regular representations andpseudosimilarity; 6. Products of graphs; 7. Special cases of vertex-transitive graphsand digraphs; 8. The reconstructionconjectures; 9. Reconstructuring fromsubdecks; 10. Counting arguments in

vertex-reconstruction; 11. Countingarguments in edge-reconstruction;Bibliography; List of notation; Index ofterms and definitions.London Mathematical Society Student Texts, 542003 228 x 152 mm 180pp 22 line diagrams141 exercises0 521 82151 7 Hardback c. £45.000 521 52903 4 Paperback c. £15.95Publication January 2003


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.

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, 552002 228 x 152 mm 200pp0 521 82426 5 Hardback c. £42.500 521 53143 8 Paperback c. £15.95Publication December 2002

LMS Publication

Lectures on Invariant TheoryIgor DolgachevUniversity of Michigan, Ann Arbor

Based on lectures given at University ofMichigan, Harvard University and SeoulNational University, this book is a briefintroduction to the main ideas of algebraicand geometric invariant theory. Theemphasis is on concrete examples and thereare numerous examples and exercises to aidthe reader.London Mathematical Society Lecture NoteSeries, 2962002 228 x 152 mm 225pp0 521 52548 9 Paperback c. £27.95Publication December 2002

LMS Publication

Analysis and LogicC. Ward HensonUniversity of IllinoisJose IovinoThe University of Texas, San AntonioAlexander S. KechrisCalifornia Institute of Technologyand Edward OdellThe University of Texas, Austin

This volume comprises articles from fouroutstanding researchers who work at thecusp of analysis and logic. The emphasis ison active research topics; many results arepresented that have not been publishedbefore and open problems are formulated.London Mathematical Society Lecture NoteSeries, 2622002 228 x 152 mm 288pp0 521 64861 0 Paperback c. £29.95Publication September 2002

LMS Publication

The Homotopy Category of SimplyConnected 4-ManifoldsHans-Joachim BauesMax-Planck Institut für Mathematik, Bonn

A book on homotopy theory, written toappeal to both established researchers inthe field and graduate students interestedin topology and algebra. The techniquesused in this book includes the use of somenew algebraic models of 4-manifolds.There is a full list of references.London Mathematical Society Lecture NoteSeries, 2972003 228 x 152 mm 172pp 150 line diagrams0 521 53103 9 Paperback c. £24.95Publication January 2003

LMS Publication

Second Order Partial DifferentialEquations in Hilbert SpacesGiuseppe Da PratoScuola Normale Superiore, Pisaand Jerzy ZabczykPolish Academy of Sciences

State of the art treatment of a subjectwhich has applications in mathematicalphysics, biology and finance. Includesdiscussion of applications to control theory.There are numerous notes and referencesthat point to further reading. Coverage ofsome essential background material helpsto make the book self contained.London Mathematical Society Lecture NoteSeries, 2932002 228 x 152 mm 396pp0 521 77729 1 Paperback £29.95


6 LMS Books and Journals / Mathematics for Science and Engineering

LMS 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: £488Institutions electronic only: £460Special arrangements exist for LMS members.Print ISSN 0024-6115Electronic ISSN 1460-244X

LMS Journal

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


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.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: £448Institutions electronic only: £422Print ISSN 0024-6107Electronic ISSN 1469-7750

LMS Journal

Bulletin of the LondonMathematical SocietyEditors: Gordon BlowerLancaster Universityand Amanda ChetwyndLancaster University


The Bulletin publishes important shortresearch articles covering the whole of puremathematics, together with some moreapplied areas of analysis, theoreticalcomputing and mathematical physics. Italso publishes authoritative survey articlesand advanced expositions, often of anextensive nature reviewing all majordevelopments in an important area overmany years. Occasional biographicalarticles are published on the lives andmathematical achievements ofdistinguished mathematicians. The Bulletinhas a substantial book review section,including books in applied mathematicsand statistics as well as pure mathematics. SubscriptionsVolume 35 in 2003: January, March,May, July, September and NovemberInstitutions print and electronic: £206Institutions electronic only: £193Special arrangements exist for LMS members.Print ISSN 0024-6093Electronic ISSN 1469-2120

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

Mathematics forScience andEngineering

TextbookNew Edition

Mathematical Methods forPhysics and EngineeringA Comprehensive GuideSecond editionKen RileyUniversity of CambridgeMike HobsonUniversity of Cambridgeand Stephen Bence

The new edition of this highlyacclaimed textbook contains severalmajor additions, including more thanfour hundred new exercises (with hintsand answers). The authors haveincluded a preliminary chapter coveringareas such as polynomial equations,trigonometric identities, and coordinategeometry, as well as two separatechapters for statistics and probability.

From reviews of the first edition:

‘… the book provides scientists whoneed to use the tool of mathematics forpractical purposes with a single,comprehensive book. I recommend thisbook not only to students in physicsand engineering sciences, but also tostudents in other fields of naturalsciences.’

P. Steward, Optik

Contents: 1. Preliminary algebra; 2. Preliminary calculus; 3. Complexnumbers and hyperbolic functions; 4. Series and limits; 5. Partialdifferentiation; 6. Multiple integrals; 7. Vector algebra; 8. Matrices and vectorspaces; 9. Normal modes 10. Vectorcalculus; 11. Line, surface and volume

Mathematics for Science and Engineering 7

integrals; 12. Fourier series; 13. Integraltransforms; 14. First-order ordinarydifferential equations; 15. Higherordinary differential equations; 16. Series solutions of ordinarydifferential equations; 17. Eigenfunctionmethods for differential equations; 18. Partial differential equations: generaland particular; 19. Partial differentialequations: separation of variables andother methods; 20. Complex variables;21. Tensors; 22. Calculus of variations;23. Integral equations; 24. GroupTheory; 25. Representation theory; 26. Probability; 27. Statistics; 28. Numerical methods; Appendix;Index. 2002 247 x 174 mm 1100pp 200 line diagrams20 tables 750 exercises0 521 81372 7 Hardback £75.000 521 89067 5 Paperback £27.95

TextbookNew Edition

A Student’s Guide to FourierTransformsWith Applications in Physics and EngineeringSecond editionJ. F. JamesUniversity of Glasgow

A new edition of a successful textbook forstudents in physics, computer science andelectrical engineering. Important ideas inpractical science and informationtechnology are described at anunderstandable level. The book covers thefield broadly and is well illustrated withworked examples and diagrams.

From reviews of the first edition:

‘… elegantly simple’New Scientist

Contents: 1. Physics and Fouriertransforms; 2. Useful properties andtheorems; 3. Applications I: Fraunhoferdiffraction; 4. Applications II:communication theory; 5. Applications III:spectroscopy; 6. Two-dimensionaltransforms; 7. Multi-dimensionaltransforms; 8. The formal complex Fouriertransform; 9. Discrete and digital Fouriertransforms; Appendix: mathematicalproofs.2002 228 x 152 mm 150pp 75 line diagrams1 half-tone0 521 80826 X Hardback £40.000 521 00428 4 Paperback £14.95Publication September 2002

Green’s Functions and OrderedExponentialsH. M. FriedBrown University, Rhode Island

This book provides a coherent account ofthe construction, use and approximation ofGreen’s functions and their associatedordered exponentials. Topics coveredinclude applications to problems inpotential theory and quantum field theory,as well as particle production in crossedlaser fields and non-constant electric fields.For graduates and researchers.2002 228 x 152 mm 256pp 29 line diagrams0 521 44390 3 Hardback £60.00Publication October 2002

Textbook

Applied ComplexVariables for Scientistsand EngineersYue Kuen KwokHong Kong University of Science and Technology

An introductory text on complex variablemethods for scientists and engineers, with ahigh proportion of the book devoted toapplications to physical problems. Containsmany exercises, with solutions. Highlysuitable for students wishing to learn theelements of complex analysis in an appliedcontext.

Contents: 1. Complex numbers; 2. Analytic functions; 3. Exponential,logarithmic and trigonometric functions; 4. Complex integration; 5. Taylor andLaurent series; 6. Singularities and calculusof residues; 7. Boundary value problemsand initial-boundary value problems; 8. Conformal mappings and applications;Solutions to exercises.2002 228 x 152 mm 404pp 300 exercises88 figures0 521 80302 0 Hardback £55.000 521 00462 4 Paperback £19.95

D-BranesClifford V. JohnsonUniversity of Durham

A self-contained and pedagogicalintroduction to D-branes, their theory andapplications. Covering the basics as well asadvanced applications, this book will besuitable as a textbook for graduate coursesand also a valuable reference forresearchers. There is no other book devotedto the technology of D-branes. Cambridge Monographs on MathematicalPhysics2002 247 x 174 mm 544pp 89 line diagrams33 tables0 521 80912 6 Hardback c. £45.00Publication December 2002

The Seismic WavefieldVolume 2: Interpretation of Seismograms onRegional and Global ScalesB. L. N. KennettAustralian National University, Canberra

Volume II exploits the theoreticalintroduction of Volume I to discussobserved seismograms of local and regionalseismic events, global wave propagation,and the three-dimensional Earth. The twovolumes form a comprehensiveintroduction to observation and theory inseismology and will prove valuable tostudents, researchers and petroleumindustry professionals.2002 253 x 177 mm 520pp 300 line diagrams20 tables0 521 80946 0 Hardback c. £65.000 521 00665 1 Paperback c. £23.95Publication December 2002

The Seismic WavefieldVolume 1: Introduction and Theoretical DevelopmentB. L. N. KennettThe Australian National University2002 253 x 177 mm 380pp 145 line diagrams0 521 80945 2 Hardback £70.000 521 00663 5 Paperback £24.95


8 Dynamics and Mechanics

Dynamics andMechanics

Textbook

A First Course inDynamicswith a Panorama of RecentDevelopmentsBoris HasselblattTufts Universityand Anatole KatokPennsylvania State University

This introduction for seniorundergraduate and beginning graduatestudents of mathematics, physics, andengineering combines mathematicalrigor with copious examples ofimportant applications, covering topicsranging from Newtonian mechanics tocoding theory.

Contents: 1. What is a dynamicalsystem?; Part I. Simple Behavior inDynamical Systems: 2. Systems withstable asymptotic behavior; 3. Linearmaps and linear differential equations;Part II. Complicated Behavior inDynamical Systems: 4. Quasiperiodicityand uniform distribution on the circle;5. Quasiperiodicity and uniformdistribution in higher dimension; 6. Conservative systems; 7. Simplesystems with complicated orbitstructure; 8. Entropy and chaos; 9. Simple dynamics as a tool; Part III.Panorama of Dynamical Systems: 10. Hyperbolic dynamics; 11. Quadraticmaps; 12. Homoclinic tangles; 13. Strange attractors; 14. Diophantineapproximation and applications ofdynamics to number theory; 15. Variational methods, twist maps,and closed geodesics; Appendix;Solutions.2003 253 x 177 mm 448pp 140 line diagrams0 521 58304 7 Hardback c. £65.000 521 58750 6 Paperback c. £24.95Publication March 2003

Graduate Text

Introduction to Dynamical SystemsM. BrinUniversity of Maryland, College Parkand G. StuckUniversity of Maryland, College Park

This introduction to the subject ofdynamical systems is ideal for a one-yeargraduate course. From chapter one, theauthors use examples to motivate, clarifyand develop the theory. The book roundsoff with beautiful and remarkableapplications to such areas as numbertheory, data storage, and Internet searchengines.

Contents: Introduction; 1. Examples andbasic concepts; 2. Topological dynamics; 3. Symbolic dynamics; 4. Ergodic theory;5. Hyperbolic dynamics; 6. Ergodicity ofAnosov diffeomorphisms; 7. Lowdimensional dynamics; 8. Complexdynamics; 9. Measure theoretic entropy;Index.2002 228 x 152 mm 250pp 33 line diagrams90 exercises0 521 80841 3 Hardback c. £30.00Publication November 2002

Textbook

Chaos: A MathematicalIntroductionJohn BanksLa Trobe UniversityValentina DraganLa Trobe Universityand Arthur JonesLa Trobe University

Here is a textbook that presents ideas aboutchaos in discrete time dynamics in a formwhere they should be accessible to anyonewho has taken a first course inundergraduate calculus. Remarkably, itmanages to do so without discarding acommitment to mathematical substanceand rigour.

Contents: Preface; 1. Making predictions;2. Mappings and orbits; 3. Periodic orbits;4. Asymptotic orbits I: linear and affinemappings; 5. Asymptotic orbits II:

differentiable mappings; 6. Families ofmappings and bifurcations; 7. Graphicalcomposition, wiggly iterates and zeros; 8. Sensitive dependence; 9. Ingredients ofchaos; 10. Schwarzian derivatives and‘woggles’; 11. Changing coordinates; 12. Conjugacy; 13. Wiggly iterates, Cantorsets and chaos. Index.Australian Mathematical Society Lecture Series, 182003 228 x 152 mm 320pp 154 line diagrams303 exercises0 521 53104 7 Paperback c. £29.95Publication January 2003

Graduate TextNew Edition

Chaos in Dynamical SystemsSecond editionEdward OttUniversity of Maryland

In the new edition of this classic textbookEdward Ott has added much new materialand has significantly increased the numberof homework problems. The mostimportant change is the addition of acompletely new chapter on control andsynchronization of chaos.

From reviews of the previous edition:

‘… a stimulating selection of topics thatcould be taught a la carte inpostgraduate courses. The book is givenunity by a preoccupation with scalingarguments, but covers almost all aspectsof the subject (dimensions of strangeattractors, transitions to chaos,thermodynamic formalism, scatteringquantum chaos and so on)… Ott hasmanaged to capture the beauty of thissubject in a way that should motivateand inform the next generation ofstudents in applied dynamical systems.’

Nature

Contents: Preface; 1. Introduction andoverview; 2. One-dimensional maps; 3. Strange attractors and fractaldimensions; 4. Dynamical properties ofchaotic systems; 5. Nonattracting chaoticsets; 6. Quasiperiodicity; 7. Chaos inHamiltonian systems; 8. Chaotictransitions; 9. Multifractals; 10. Controland synchronization of chaos; 11. Quantum chaos.2002 246 x 189 mm 496pp 243 line diagrams2 tables0 521 81196 1 Hardback £90.000 521 01084 5 Paperback £32.95Publication September 2002

Dynamics and Mechanics 9


Graduate Text

Introduction to HydrodynamicStabilityP. G. DrazinUniversity of Bristol

Instability of flows and their transitionto turbulence are widespreadphenomena in engineering and nature,and are also important in many appliedsciences. This is a textbook to introducethese phenomena at a level suitable for agraduate course, by modelling themmathematically, and describingnumerical simulations and laboratoryexperiments.

Contents: 1. General introduction; 2. Introduction to steady flows, theirinstability and bifurcations; 3. Kelvin-Helmholtz instability; 4. Capillaryinstability of a jet; 5. Development ofinstabilities in time and space; 6. Rayleigh-Bénard convection; 7. Centrifugal instability; 8. Stability ofparallel flows; 9. Routes to chaos andturbulence; 10. Case studies intransition to turbulence; References;Index.Cambridge Texts in Applied Mathematics, 322002 228 x 152 mm 280pp 78 line diagrams0 521 80427 2 Hardback £65.000 521 00965 0 Paperback £21.95Publication October 2002

Hydrodynamic StabilityP. G. DrazinUniversity of Bristoland W. H. ReidUniversity of Chicago

This book begins with a basic introductionto three major areas of hydrodynamicstability: thermal convection, rotating andcurved flows, and parallel shear flows.There follows a comprehensive account ofthe mathematical theory for parallel shearflows. The book contains a large number ofproblems, with hints and references.

‘The work is undeniably of highscholarship, consummate accuracy, andpenetrating insight … All specialists instability theory will be happy that twosuch authorities have found the time toproduce a work of such excellence.’

Nature

Cambridge Mathematical Library2002 228 x 152 mm 550pp0 521 52541 1 Paperback c. £20.95

Linear Water WavesA Mathematical ApproachN. KuznetsovRussian Academy of SciencesV. Maz’yaUniversity of Linköping, Swedenand B. VainbergUniversity of North Carolina

This book gives a self-contained and up-to-date account of mathematical results in thelinear theory of water waves. Linear WaterWaves will serve as an ideal reference forthose working in fluid mechanics, appliedmathematics, and engineering.2002 228 x 152 mm 532pp 42 line diagrams0 521 80853 7 Hardback £70.00

Graduate Text

High-Order Methods forIncompressible Fluid FlowM. O. DevilleÉcole Polytechnique Fédérale, LausanneP. F. FischerUniversité Libre de Bruxelles and Université Catholiquede Louvainand E. H. MundArgonne National Laboratory

This book considers the range ofmathematical, engineering, and computerscience topics that form the foundation ofhigh-order numerical methods for thesimulation of incompressible fluid flows incomplex domains. Numerous examples areprovided throughout to illustrate thecapabilities of high-order methods in actualapplications.Cambridge Monographs on Applied andComputational Mathematics, 92002 228 x 152 mm 528pp 104 line diagrams0 521 45309 7 Hardback £60.00

Graduate Text

Finite Volume Methods forHyperbolic ProblemsR. LeVequeUniversity of Washington

An introduction to hyperbolic PDEs and aclass of numerical methods forapproximating their solution, includingboth linear problems and nonlinearconservation laws.

Contents: Preface; 1. Introduction; 2. Conservation laws and differentialequations; 3. Characteristics and Riemannproblems for linear hyperbolic equations;4. Finite-volume methods; 5. Introductionto the CLAWPACK software; 6. Highresolution methods; 7. Boundaryconditions and ghost cells; 8. Convergence,accuracy, and stability; 9. Variable-coefficient linear equations; 10. Otherapproaches to high resolution; 11. Nonlinear scalar conservation laws; 12. Finite-volume methods for nonlinearscalar conservation laws; 13. Nonlinear

systems of conservation laws; 14. Gasdynamics and the Euler equations; 15. Finite-volume methods for nonlinearsystems; 16. Some nonclassical hyperbolicproblems; 17. Source terms and balancelaws; 18. Multidimensional hyperbolicproblems; 19. Multidimensional numericalmethods; 20. Multidimensional scalarequations; 21. Multidimensional systems;22. Elastic waves; 23. Finite-volumemethods on quadrilateral grids;Bibliography; Index.Cambridge Texts in Applied Mathematics, 312002 228 x 152 mm 578pp 135 line diagrams108 exercises0 521 81087 6 Hardback £90.000 521 00924 3 Paperback £32.95Publication September 2002

Theory of Vortex SoundM. S. HoweBoston University

The book is an introduction to theory ofsound generation by fluid flow, speciallywritten for a one semester course atadvanced undergraduate or graduate level.Problems are provided at the end of eachchapter, many of which can be used forextended student projects. A whole chapteris devoted to worked examples.

Contents: Preface; 1. Introduction; 2. Lighthill’s theory; 3. The compactGreen’s function; 4. Vorticity; 5. Vortexsound; 6. Vortex-surface interaction noisein two-dimensions; 7. Problems in three-dimensions; 8. Further worked examples;Bibliography.Cambridge Texts in Applied Mathematics, 332002 228 x 152 mm 232pp 84 line diagrams49 exercises0 521 81281 X Hardback c. £55.000 521 01223 6 Paperback c. £20.95Publication September 2002

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. SubscriptionsVolumes 474–497 in 2003: twicemonthlyInstitutions print and electronic: £1196Institutions electronic only: £1076Institutions print only: £1076Individuals print plus electronic: £498Print ISSN 0022-1120Electronic ISSN 1469-7645

10 Dynamics and Mechanics / Statistics Probability and Finance

Journal

Ergodic Theory and DynamicalSystemsManaging Editor: S. van StrienUniversity of Warwick

Ergodic Theory and Dynamical Systemsfocuses on a rich variety of research areaswhich, although diverse, employ ascommon themes global dynamicalmethods. The journal acts as a forum forcentral problems of differential geometry,number theory, operator algebras,topological, differential and symbolicdynamics, and celestial and statisticalmechanics.SubscriptionsVolume 23 in 2003: February, April,June, August, October and DecemberInstitutions print and electronic: £424Institutions electronic only: £382Institutions print only: £382Print ISSN 0143-3857Electronic ISSN 1469-4417

Statistics, Probabilityand Finance

Textbook

A Course in FinancialCalculusAlison EtheridgeUniversity of Oxford

Inspired by Baxter and Rennie’sFinancial Calculus, this self-containedtext is designed for fist courses on thesubject. Key concepts are introduced inthe discrete time framework. A valuablefeature is the large number of exercisesand examples.

Contents: Preface; 1. Single periodmodels; 2. Binomial trees and discreteparameter martingales; 3. Brownianmotion; 4. Stochastic calculus; 5. TheBlack-Scholes model; 6. Differentpayoffs; 7. Bigger models; Bibliographyand further reading; Notation; Index.2002 239 x 170 mm 192pp 138 exercises14 figures0 521 81385 9 Hardback £60.000 521 89077 2 Paperback £21.95

TextbookNew Edition

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

Contains a new chapter on optimizationmethods 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.2002 228 x 152 mm 264pp 19 line diagrams9 tables 150 exercises0 521 81429 4 Hardback c. £27.95Publication October 2002

New Edition

The Cambridge Dictionary ofStatisticsSecond editionB. S. EverittKing’s College London

If you use statistics and need a useful,up-to-date reliable sourcebook thatprovides simple definitions andexplanations of statistical and statistics-related concepts, then look no furtherthan this dictionary. Some 3500 termsare defined, a considerable increase overthe first edition. Short biographies ofover 100 important statisticians areincluded.

‘This is already the most useful book onmy shelf … excellent value and it ishighly recommended as a reference textfor anyone who is even mildly interestedin statistics.’

The Statistician

Contents: Preface; Notes on use;Acknowledgements; Sources; TheDictionary.2002 247 x 174 mm 420pp 10 tables132 figures0 521 81099 X Hardback £30.00

Statistics, Probability and Finance / Numerical Analysis and Computing 11

Patterns of SpeculationA Study in Observational EconophysicsBertrand M. RoehnerUniversité de Paris VII

Patterns of Speculation shows how it ispossible to find hidden regularities behindthe bewildering diversity of historicalspeculative episodes, thus preparing theway for a unified theory of marketspeculation. A useful introduction forstudents of econophysics, giving an insightinto economics as seen from theperspective of physics.2002 247 x 174 mm 248pp 69 line diagrams39 tables0 521 80263 6 Hardback £35.00

Journal

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

This journal focuses on stochasticmodelling in the physical and engineeringsciences, with particular emphasis onqueueing theory, reliability theory,inventory theory, simulation, stochasticcontrol theory and probabilistic networksand graphs. Papers on analytic propertiesand related disciplines are also considered,as well as more general papers on appliedand computational probability, ifappropriate. SubscriptionsVolume 17 in 2003: January, April, Julyand OctoberInstitutions print and electronic: £290Institutions electronic only: £260Institutions print only: £260Individuals print plus electronic: £74Print ISSN 0269-9648Electronic ISSN 1469-8951

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. It proceeds frommathematical and theoreticalconsiderations to actual practicalcomputer routines. It remains the mostpractical, comprehensive handbook ofscientific computing available today.

Contents: 1. Preliminaries; 2. Solutionof linear algebraic equations; 3. Interpolation and extrapolation; 4. Integration of functions; 5. Evaluation of functions; 6. Specialfunctions; 7. Random numbers; 8. Sorting; 9. Root finding andnonlinear sets of equations; 10. Minimization or maximization offunctions; 11. Eigensystems; 12. FastFourier transform; 13. Fourier andspectral applications; 14. Statisticaldescription of data; 15. Modeling ofdata; 16. Integration of ordinary

differential equations; 17. Two pointboundary value problems; 18. Integralequations and inverse theory; 19. Partialdifferential equations; 20. Less-numerical algorithms; References.

‘ … 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

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-ROM

Numerical Recipes Multi-LanguageCode CD-ROM with Windows, DOS,or Macintosh Single-ScreenLicenseSource Code for the Second Edition Versionsof C, C++, Fortran 77, Fortran 90, and theFirst Edition Versions of Pascal, BASIC, Lispand Modula 2 plus many 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


12 Numerical Analysis and Computing

CD-ROM

Numerical Recipes Multi-LanguageCode CD-ROM with LINUX or UNIXSingle-Screen LicenseSource Code for the second edition versionsof C, C++, Fortran 77, Fortran 90, and thefirst edition versions of Pascal, BASIC, Lispand Modula 2 plus many 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

CD-ROM

Numerical Recipes Source Code inC and C++ CD-ROM with Windowsor Macintosh Single-ScreenLicenseThe Art of Scientific ComputingSecond editionWilliam H. PressHarvard UniversityBrian P. FlanneryCornell University, New YorkSaul A. TeukolskyPolaroid Corporationand William T. VetterlingEXXON Research and Engineering Company2002 0 521 75037 7 CD-ROM £35.00+VAT

Acta Numerica 2002Volume 11A. IserlesUniversity of Cambridge

Acta Numerica is an annual publicationcontaining invited survey papers by leadingresearchers in numerical mathematics andscientific computing.

‘Acta Numerica is a fine achievementand I think we can expect to see it formany years to come. It sets itselflaudable and important goals and has,to a large extent, achieved them. Ibelieve that the volumes are ofenormous benefit to our subject … Theeditorial board should be applauded forhaving the vision and drive necessary tocreate and 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

Acta Numerica, 112002 247 x 174 mm 590pp0 521 81876 1 Hardback £50.00

Textbook

An Introduction to NumericalAnalysisDavid MayersUniversity of Oxfordand Endre SüliUniversity of Oxford

Beginning with a clear motivation forthe study of numerical analysis based onreal-world problems, the authors thendevelop the necessary machineryincluding iteration, interpolation,boundary value problems and finiteelements. Written primarily forundergraduate mathematicians, it willalso appeal to students working at anadvanced level in other disciplines.

Contents: 1. Solution of equations byiteration; 2. Solution of systems oflinear equations; 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 polynomialapproximation; 12. Approximation ofInitial Value Problems for ODEs; 13. Boundary Value Problems; 14. TheFinite Element Method; Appendix 1;Index.2002 228 x 152 mm 330pp 50 line diagrams0 521 81026 4 Hardback c. £55.000 521 00794 1 Paperback c. £19.95Publication November 2002

Schwarz-Christoffel MappingTobin A. DriscollUniversity of Delawareand Lloyd N. TrefethenOxford University

This book provides a comprehensive lookat the Schwarz-Christoffel transformation,including its history and foundations,practical computation, common and lesscommon variations, and its manyapplications. It is intended as an accessibleresource for engineers, scientists, andapplied mathematicians who may not havemuch prior experience with theoretical orcomputational conformal mappingtechniques.Cambridge Monographs on Applied andComputational Mathematics, 82002 228 x 152 mm 148pp 76 line diagrams0 521 80726 3 Hardback £30.00

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: £244Institutions electronic only: £220Institutions print only: £220Print ISSN 0960-1295Electronic ISSN 1469-8072

General Interest and Recreational Maths 13


General Interest andRecreational Maths

The Mathematics of OzMental Gymnastics from Beyond theEdgeClifford A. Pickover

Prepare yourself for a shattering odysseyas The Mathematics of Oz unlocks thedoors of your imagination. The testsdevised by the enigmatic Dr Oz toassess human intelligence will boggle thebrain of even the most avid puzzle fanand entertain readers at all levels ofmathematical sophistication. Histhought-provoking mysteries, puzzles,and problems range from zebra numbersand circular primes to Legion’s number– a number so big that it makes atrillion pale in comparison. Withnumerous illustrations, this is anoriginal, fun-filled, and thoroughlyunique introduction to numbers andtheir role in creativity, computers,games, practical research, and absurdadventures.

‘… the material in the book is notduplicated in other collections, andsome of it is even new, a real rarity inrecreational mathematics.’

Underwood Dudley, author ofMathematical Cranks

‘A perpetual idea machine, CliffordPickover is one of the most creative,original thinkers in the world today.’

Journal of Recreational Mathematics

2002 228 x 152 mm 320pp 80 line diagrams0 521 01678 9 Hardback £21.95Publication October 2002

Remarkable MathematiciansIoan JamesUniversity of Oxford

Ioan James introduces and profiles sixtymathematicians, all born between 1700and 1910, an era which saw mathematicsfreed from its classical origins to developinto its modern form. The portrayals,when read in sequence, convey in humanterms something of the way in whichmathematics developed.

Contents: Preface; 1. From Euler toLegendre; 2. From Fourier to Cauchy; 3. From Abel to Grassmann; 4. FromKummer to Cayley; 5. From Hermite toLie; 6. From Cantor to Hilbert; 7. FromMoore to Takagi; 8. From Hardy toLefschetz; 9. From Birkhoff to Alexander;10. From Banach to von Neumann;Epilogue; Further reading.2002 228 x 152 mm 320pp 60 figures0 521 81777 3 Hardback c. £45.000 521 52094 0 Paperback c. £15.95Publication September 2002Co-published with the MAA

Hinged DissectionsSwinging and TwistingGreg N. FredericksonPurdue University, Indiana

Using this book, you can explore waysto create hinged collections of piecesthat swing together to form a figure.Swing them another way and, likemagic, they form another figure! Hereyou will learn ingenious new techniquesfor finding a wealth of hingeddissections: polygons, stars, crosses,curved and even three-dimensionalfigures. For an added challenge, try yourhand at the puzzles scattered throughthe book or make up your own hingeddissections. The book’s profuseillustrations and lively text will beaccessible to anyone who remembershigh school geometry.2002 234 x 177 mm 304pp 536 line diagrams0 521 81192 9 Hardback £35.00Publication October 2002

MAA Publication

The Inquisitive Problem SolverRichard GuyUniversity of CalgaryLoren LarsonSt Olaf Collegeand Paul VaderlindSt Olaf College

The Inquisitive Problem Solver is acollection of mathematical miniaturescomposed to stimulate and entertain. Inaddition, the book contains several openproblems for further research by amateursor professionals. This treasury of problemswill serve as a resource for anyone seekingto improve their problem-solvingknowledge and know-how.Spectrum2002 228 x 152 mm 344pp0 883 85806 1 Paperback £19.95

14 General Interest and Recreational Maths

MAA Publication

Fractals, Graphics, andMathematics EducationBenoit MandelbrotYale University, Connecticutand Michael FrameYale University, Connecticut

Fractal Geometry is a new mathematicaltool for describing nature. Through this wemay uncover connections between the artsand sciences, uncommonly seen in mathsand science classes. This book will appealto anyone wanting to teach a course onfractals, or who is interested in generalscientific literacy.Mathematical Association of America Notes, 582002 276 x 219 mm 224pp 180 figures0 883 85169 5 Paperback £27.95

MAA Publication

Mathematical ApocryphaSteven KrantzUniversity of Washington, St Louis

This is a collection of tales aboutmathematicians and the mathematical,derived from the author’s experience. Itshares the nature of the mathematicalenterprise, and gives a glimpse of

mathematical culture. It is written in abrisk and engaging manner and alsoincludes a number of attractivephotographs and illustrations.Spectrum2002 228 x 152 mm 240pp0 883 85539 9 Paperback £19.95Publication September 2002

MAA Publication

Mathematical TreksFrom Surreal Numbers to Magic CirclesIvars Peterson

Science News publishes a weekly columndevoted to ‘cool stuff ’ from the world ofmathematics. New developments and theirapplications, old puzzles revisited, famousproblems and historic events have allfeatured. Ivars Peterson has enhanced andupdated a selection of articles for this book.Spectrum2002 228 x 152 mm 182pp 75 line diagrams0 883 85537 2 Paperback £19.95

New Journal

Journal of the Institute ofMathematics of JussieuEditor: Colette MoeglinUniversité Paris VI

Published for the Institute of Mathematicsof Jussieu

The Journal of the Institute ofMathematics of Jussieu is a newpublication covering 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 2 in 2003: January, April,July and OctoberInstitutions print and electronic: £126Institutions electronic only: £114Institutions print only: £114Print ISSN 1474-7480Electronic ISSN 1475-3030

Journal

European Journal of AppliedMathematicsEditors-in-Chief: J. R. Ockendon, FRSUniversity of OxfordS. D. HowisonUniversity of Oxfordand M. J. WardUniversity of British Columbia

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: £238Institutions electronic only: £215Institutions print only: £215European 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: £86Print ISSN 0956-7925Electronic ISSN 1469-4425

Journal

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

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: £150Institutions electronic only: £135Institutions print only: £135Print ISSN 0013-0915Electronic ISSN 1464-3839

General Interest and Recreational Maths / Bestsellers / Author and Title Index 15


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: £126Institutions electronic only: £112Institutions print only: £112Print 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: £354Institutions electronic only: £319Institutions print only: £319Print ISSN 0305-0041Electronic ISSN 1469-8064

BestsellersNew Edition

The MATHEMATICA® Book,Version 4Fourth editionStephen WolframWolfram Research Inc., Illinois

‘For readers who are already familiarwith previous editions the mostimportant aspect will be the newfeatures of Mathematica (of which thereare many). Those who are new toMathematica will find the bookindispensable.’

Dr W. D. Crowe, IEE Review

1999 253 x 203 mm 1496pp 200 line diagrams100 graphs 7 figures0 521 64314 7 Hardback £37.50Co-published with Wolfram Research Inc.

Textbook

Mathematical Explorations withMATLABK. ChenUniversity of LiverpoolPeter J. GiblinUniversity of Liverpooland A. IrvingUniversity of Liverpool

‘I can recommend it to students withlittle experience in computing who wantto explore mathematics …’

P. Shiu, The Mathematical Gazette

Contents: Part I. Foundations; Part II.Investigations; Part III. Modelling.1999 228 x 152 mm 320pp 60 line diagrams0 521 63920 4 Paperback £17.95

Textbook

Probability and Random VariablesA Beginner’s GuideDavid StirzakerUniversity of Oxford

‘… a fine textbook accompanyingintroductory lectures in probability.’Ch. Cenker, Monatshefte für Mathematik

Contents: 1. Introduction; Part A.Probability: 2. The rules of probability; 3. Counting and gambling; 4.Distributions: trials, samples andapproximation; Part B. Random Variables:5. Random variables and theirdistributions, 6. Jointly distributed randomvariables; 7. Generating functions; 8. Appendix: hints and solutions forselected exercises and problems.1999 247 x 174 mm 380pp 50 line diagrams1 table 70 exercises0 521 64445 3 Paperback £18.95

Author and TitleIndexAAbelian Varieties, Theta Functions and the

Fourier Transform, 4Abstract Regular Polytopes, 4Acta Numerica 2002, 12Algebra and Geometry, 3An Algebraic Introduction to K-Theory, 3An Elementary Introduction to Mathematical

Finance, 10An Interactive Introduction to Mathematical

Analysis with CD-ROM, 1An Introduction to Invariants and Moduli, 4An Introduction to Numerical Analysis, 12Analysis and Logic, 5Applied Complex Variables for Scientists and

Engineers, 7BBanks, John, 8Baues, Hans-Joachim, 5Beardon, Alan, 3Bence, Stephen, 6Birch FRS, Bryan J., 6Blower, Gordon, 6Bollobás, Béla, 3Brin, M., 8Bulletin of the London Mathematical Society, 6Burgess, Mark, 4Burkill, H., 1Burkill, J. C., 1CCambridge Dictionary of Statistics, The, 10Cantwell, Brian J., 1Chaos: A Mathematical Introduction, 8Chaos in Dynamical Systems, 8Chen, K., 15Chetwynd, Amanda, 6Classical Covariant Fields, 4Cohen, Graeme, 1Combinatorics, Probability & Computing, 3Completely Bounded Maps and Operator

Algebras, 4Complex Polynomials, 2Continuous Lattices, 2Course in Financial Calculus, A, 10Course in Modern Analysis and its Applications,

A, 1DD'Angelo, John P., 2D-Branes, 7Da Prato, Giuseppe, 5Dajani, Karma, 3Davenport, J. H., 6Davidoff, Giuliana, 5Davis, Stephen H., 9Deville, M. O., 9Dolgachev, Igor, 5Dragan, Valentina, 8Drazin, P. G., 9Driscoll, Tobin A., 12Dudley, R. M., 2EElementary Number Theory, Group Theory and

Ramanujan Graphs, 5Erdmann, Karin, 6Ergodic Theory and Dynamical Systems, 10

16 Author and Title Index

Ergodic Theory of Numbers, 3Etheridge, Alison, 10European Journal of Applied Mathematics, 14Everitt, B. S., 10FFinite Volume Methods for Hyperbolic

Problems, 9First Course in Dynamics, A, 8Fischer, P. F., 9Flannery, Brian P., 11, 12Fractals, Graphics, and Mathematics Education,

14Frame, Michael, 14Frederickson, Greg N., 13Fried, H. M., 7Frobenius Manifolds and Moduli Spaces for

Singularities, 4GGeneric Polynomials, 4Geometry of Sporadic Groups, 4Giblin, Peter J., 15Gierz, Gerhard, 2Glasgow Mathematical Journal, 15Green’s Functions and Ordered Exponentials, 7Guy, Richard, 13HHarmonic Maps, Conservation Laws and

Moving Frames, 2Hasselblatt, Boris, 8Hélein, Frédéric, 2Henson, C. Ward, 5Hertling, Claus, 4High-Order Methods for Incompressible Fluid

Flow, 9Hinged Dissections, 13Hobson, Mike, 6Hodge Theory and Complex Algebraic

Geometry I, 3Hofmann, Karl, 2Homotopy Category of Simply Connected 4-

Manifolds, The, 5Howe, M. S., 9Howison, S. D., 14Hydrodynamic Stability, 9IInequalities From Complex Analysis, 2Inquisitive Problem Solver, The, 13Integral Geometry and Geometric Probability, 2Introduction to Dynamical Systems, 8Introduction to Hydrodynamic Stability, 9Introduction to Symmetry Analysis, 1Iovino, Jose, 5Irving, A., 15Iserles, A., 12Ivanov, A. A., 4JJames, Ioan, 13James, J. F., 7Jameson, G. J. O., 5Jensen, Christian, 4Johnson, Clifford V., 7Jones, Arthur, 8Journal of Fluid Mechanics, 9Journal of the Institute of Mathematics of

Jussieu, 14Journal of the London Mathematical Society, 6

KKatok, Anatole, 8Kechris, Alexander S., 5Keimel, Klaus, 2Kennett, B. L. N., 7Kraaikamp, Cor, 3Krantz, Steven, 14Kuznetsov, N., 9Kwok, Yue Kuen, 7LLarson, Loren, 13Lauri, Josef, 5Lawson, Jimmie, 2Lectures on Invariant Theory, 5Ledet, Arne, 4LeVeque, R., 9Lewin, J., 1Linear Water Waves, 9LMS Journal of Computation and Mathematics,

6Logic and Set Theory, 3Longo, G., 12MMagurn, Bruce A., 3Mandelbrot, Benoit, 14Mason, A. W., 15MATHEMATICA ® Book, Version 4, The, 15Mathematical Apocrypha, 14Mathematical Explorations with MATLAB, 15Mathematical Methods for Physics and

Engineering, 6Mathematical Proceedings of the Cambridge

Philosophical Society, 15Mathematical Structures in Computer Science,

12Mathematical Treks, 14Mathematics of Oz, The, 13Mayers, David, 12Maz’ya, V., 9McMullen, Peter, 4Mislove, Michael, 2Moeglin, Colette, 14Montgomery, S., 4Mukai, Shigeru, 4Mund, E. H., 9NNew Directions in Hopf Algebras, 4Numerical Recipes Example Book (C++), 11Numerical Recipes in C++, 11Numerical Recipes Multi-Language Code CD

ROM with LINUX or UNIX Single-ScreenLicense, 12

Numerical Recipes Multi-Language Code CDROM with Windows, DOS, or MacintoshSingle-Screen License, 11

Numerical Recipes Source Code in C and C++CD ROM with Windows or MacintoshSingle-Screen License, 12

OOckendon, FRS, J. R., 14Odell, Edward, 5Ordinary Differential Equations, 2Ott, Edward, 8Oxbury, W. M., 4PPartington, Jonathan R. , 6Patterns of Speculation, 11

Paulsen, Vern, 4Pedley, T. J., 9Permutation Group Algorithms, 4Peterson, Ivars, 14Pickover, Clifford A., 13Polishchuk, Alexander, 4Press, William H., 11, 12Prime Number Theorem, The, 5Probability and Random Variables, 15Probability in the Engineering and

Informational Sciences, 11Proceedings of the Edinburgh Mathematical

Society, 14Proceedings of the London Mathematical

Society, 6RReal Analysis and Probability, 2Reid, W. H., 9Remarkable Mathematicians, 13Riley, Ken, 6Roehner, Bertrand M., 11Ross, Sheldon M., 10, 11SSánchez, David, 2Santalo, Luis, 2Sarnak, Peter, 5Scapellato, Raffaele, 5Schneider, Hans-Jurgen, 4Schulte, Egon, 4Schwarz-Christoffel Mapping, 12Scott, Dana S., 2Second Course in Mathematical Analysis, A, 1Second Order Partial Differential Equations in

Hilbert Spaces, 5Seismic Wavefield, The, 7Seress, Akos, 4Sheil-Small, T. B., 2Shpectorov, S. V., 4Stirzaker, David, 15Stuck, G., 8Student's Guide to Fourier Transforms, A, 7Süli, Endre, 12Sweatman, Winston, 14TTeukolsky, Saul A., 11, 12Theory of Vortex Sound, 9Thomas, C. B., 15Topics in Graph Automorphisms and

Reconstruction, 5Tourlakis, George, 3Trefethen, Lloyd N., 12Truss, John K., 6VVaderlind, Paul, 13Vainberg, B., 9Valette, Alain, 5van Strien, S., 10Vetterling, William T., 11, 12Voisin, Claire, 3WWard, M. J., 14Wolfram, Stephen, 15YYui, Noriko, 4ZZabczyk, Jerzy, 5

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