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40 West 20th Street Cover art: Introduction to Circle Packing, by Ken Stephenson (see p. 12). Reprinted with permission of New York, NY 10011-4211 Ken Stephenson. Highlights Appendix B. Ramification; Appendix C. Geometry Highlights of numbers; Bibliography; Glossary of notation; Index. Algebra and Geometry New Mathematical Monographs 4 2006/668 pp./4 figures/4 line diagrams Alan Beardon University of Cambridge, UK 84615-3/Hb/List: $130.00 A Computational Disc.: $104.00 Introduction to Number This text gives a basic introduction, and a unified approach, to algebra and Multiplicative Theory and Algebra geometry. Alan Beardon covers the ideas Victor Shoup of complex numbers, scalar and vector Number Theory: New York University, NY products, determinants, linear algebra, I. Classical Theory Number theory and algebra play an group theory, permutation groups, Hugh Montgomery increasingly significant role in computing symmetry groups, and various aspects of University of Michigan, Ann Arbor and communications, as evidenced by the geometry including groups of isometries, Robert Vaughan striking applications of these subjects to rotations, and spherical geometry. Pennsylvania State University, University Park such fields as cryptography and coding The emphasis is on the interaction among Prime numbers are the multiplicative theory. This introductory book emphasises these topics. The text is divided into short building blocks of natural numbers. algorithms and applications, and is sections, with exercises at the end of each Understanding their overall influence accessible to a broad audience. section. and especially their distribution gives The mathematical prerequisites are Contents: rise to central questions in mathematics minimal: nothing beyond material in a Part I: 1. The real numbers; 2. The complex plane; and physics. In particular, their finer typical undergraduate course in calculus 3. Vectors in three dimensions; 4. Spherical geometry; Part II: 5. Permutations and distribution is closely connected with the is presumed, other than some experience determinants; 6. Vector spaces; 7. Matrices; Riemann hypothesis, the most important in doing proofs - everything else is 8. Linear equations; 9. Eigenvectors; unsolved problem in the mathematical developed from scratch. Thus the book 10. Orthonormal bases of Euclidean space; Part world. This book comprehensively covers can serve several purposes. It can be III: 11. Groups; 12. Group actions; 13. The Möbius all the topics met in first courses on group; 14. Matrix groups used as a reference and for self-study multiplicative number theory and the 2005/338 pp./40 line diagrams by readers who want to learn the distribution of prime numbers. 81362-X/Hb/List: $90.00 mathematical foundations of modern Disc.: $72.00 Contents: Preface; Notation; 1. Dirichlet series-I; cryptography. It is also ideal as a textbook 89049-7/Pb/List: $39.99 2. The elementary theory of arithmetic functions; for introductory courses in number theory Disc.: $31.99 3. Principles and first examples of sieve and algebra, especially those geared methods; 4. Primes in arithmetic progressions-I; towards computer science students. Heights in 5. Dirichlet series-II; 6. The prime number Contents: theorem; 7. Applications of the prime number 0. Preliminaries; 1. Basic properties of the Diophantine Geometry theorem; 8. Further discussion of the prime integers; 2. Congruences; 3. Computing with Enrico Bombieri number theorem; 9. Primitive characters and large integers; 4. Euclid’s algorithm; 5. The Institute for Advanced Study Gauss sums; 10. Analytic properties of the zeta distribution of primes; 6. Finite and discrete Walter Gubler function and L-functions; 11. Primes in arithmetic probability distributions; 7. Probabilistic University of Dortmund progressions-II; 12. Explicit formulae; algorithms; 8. Abelian groups; 9. Rings; 13. Conditional estimates; 14. Zeros; 10. Probabilistic primality testing; 11. Finding Diophantine geometry has been studied 15. Oscillations of error terms; Appendix A. generators and discrete logarithms in Zp*; by number theorists for thousands of The Riemann-Stieltjes integral; Appendix B. 12. Quadratic residues and quadratic reciprocity; years, since the time of Pythagoras, and Bernoulli numbers and the Euler-MacLaurin 13. Computational problems related to quadratic has continued to be a rich area of ideas summation formula; Appendix C. The gamma residues; 14. Modules and vector spaces; such as Fermat’s Last Theorem, and function; Appendix D. Topics in harmonic analysis. 15. Matrices; 16. Subexponential-time discrete Cambridge Studies in Advanced logarithms and factoring; 17. More rings; most recently the ABC conjecture. Mathematics 97 18. Polynomial arithmetic and applications; This monograph is a bridge between 2006/c. 650 pp./7 figures/510 exercises 19. Linearly generated sequences and the classical theory and modern approach 84903-9/Hb/List: $80.00* applications; 20. Finite fields; 21. Algorithms for via arithmetic geometry. The authors Disc.: $64.00* finite fields; 22. Deterministic primality testing; Appendix: some useful facts; Bibliography; Index provide a clear path through the subject of notation; Index. for graduate students and researchers. 2005/534 pp./450 exercises They have re-examined many results and 85154-8/Hb/List: $55.00 much of the literature, and provide a Disc.: $44.00 thorough account of several topics at a level not seen before in book form. The treatment is largely self-contained, with proofs given in full detail. Contents: I. Heights; II. Weil heights; III. Linear tori; IV. Small points; V. The unit equation; VI. Roth’s theorem; VII. The subspace theorem; VIII. Abelian varieties; IX. Neron-tate heights; X. The Mordell-Weil thereom; XI. Faltings theorem; XII. The ABC- conjecture; XIII. Nevanlinna theory; XIV.The Vojta conjectures; Appendix A. Algebraic geometry; 3 www.cambridge.org/us/mathematics Highlights Algebraic Statistics for Playfair’s Commercial Signal Design for Computational Biology and Political Atlas and Good Correlation Editors Statistical Breviary For Wireless Communication, Lior Pachter William Playfair Cryptography, and Radar University of California, Berkeley Introduced and annotated by Solomon W. Golomb Bernd Sturmfels University of Southern California, Los Angeles Howard Wainer University of California, Berkeley Guang Gong Ian Spence The quantitative analysis of biological University of Waterloo, Ontario, Canada sequence data is based on methods from “From the mind and hand of Playfair Wireless communications, advanced sprung - virtually fully formed - the statistics coupled with efficient algorithms prototypes for most of the statistical radar and sonar systems, and security from computer science. Algebra provides graphics in use today. There is no systems for Internet transactions are a framework for unifying many of the better place to start than at the contemporary examples of systems seemingly disparate techniques used by beginning, and this is the book that that employ digital signals to transmit computational biologists. This book offers lets us see what Playfair was trying to information. This volume affords an introduction to this mathematical do - and to appreciate just how well comprehensive, up-to-date treatment framework and describes tools from he accomplished his goals. No student of the methodologies and application computational algebra for designing new of information graphics should be areas throughout the range of digital algorithms for exact, accurate results. without this book.” communication where individual signals, These algorithms can be applied to —Stephen M. Kosslyn, Harvard University and sets of signals, with favorable biological problems such as aligning A scientific revolution began at the end correlation properties play a central role. genomes, finding genes and constructing of the 18th century with the creation and Some application areas covered include phylogenies. As the first book in the popularization of the graphic display of Code Division Multiple Access (CDMA) exciting and dynamic area, it will be data by Scottish inventor William Playfair, signals such as those in use for cell-phone welcomed as a text for self-study or for who introduced the line graph, bar chart, communication; digital systems for coded advanced undergraduate and beginning and pie chart into statistics. His radar and sonar signals; and methods for graduate courses. remarkable Atlas demonstrated how secure authentication and stream cipher Contents and Contributors: much could be learned if one plotted data cryptology. The authors provide the Preface; Part I. Introduction to the Four Themes: graphically and looked for suggestive necessary mathematical background to 1. Statistics L. Pachter and B. Sturmfels; patterns to provide evidence for pursuing explain how the signals are generated 2. Computation L. Pachter and B. Sturmfels; research. In the Statistical Breviary, 3. Algebra L. Pachter and B. Sturmfels; 4. Biology and to show how the signals satisfy the L. Pachter and B. Sturmfels; Part II. Studies on the Playfair invented the pie chart and appropriate correlation constraints. Four Themes: 5. Parametric inference R. Mihaescu; expanded upon this concept to facilitate Contents: 6. Polytope propagation on graphs M. Joswig; the comparison of the resources of 1. General properties of correlation; 7 Parametric sequence alignment C. Dewey and European countries. Playfair’s work has 2. Applications of correlation to the K. Woods; 8. Bounds for optimal sequence great relevance to contemporary science, communication of information; 3. Finite fields; alignment S. Elizalde; 9. Inference functions 4. Feedback shift register sequences; S. Elizalde; 10. Geometry of Markov chains E. Kuo; but finding copies of his original versions 5. Randomness measurements and m-sequences; 11. Equations defining Hidden Markov Models is very difficult. This re-issuance of two of 6. Transforms of sequences and functions; N. Bray and J. Morton; 12. The EM algorithm for his classic works, with new explanatory 7. Cyclic difference sets and binary sequences Hidden Markov Models I.B. Hallgrímsdóttir, material, allows access to his wisdom for with two-level correlation; 8. Cyclic Hadamard A. Milowski and J. Yu; 13. Homology mapping the first time in two centuries. In full color sequences, part 1; 9. Cyclic Hadamard sequences, with Markov random fields A. Caspi; 14. part 2; 10. Signal sets with low cross-correlation; Mutagenetic tree models N. Beerenwinkel and exactly as Playfair hand-colored the 11. Correlation of Boolean functions; M. Drton; 15. Catalog of small trees M. original, this volume includes exact 12. Applications to radar, sonar, and Casanellas, L. Garcia, and S. Sullivant; duplicates of the third edition of his synchronization. 16. The strand symmetric model M. Casanellas 2005/464 pp. and S. Sullivant; 17. Extending statistical models classic Atlas as well as the Statistical from trees to splits graphs D. Bryant; 18. Small Breviary. An additional feature is the 82104-5/Hb/List: $75.00 trees and generalized neighbor-joining M. Contois inclusion of annotations and an extensive Disc.: $60.00 and D. Levy; 19. Tree construction using Singular biography of the remarkable inventor. Value Decomposition N. Eriksson; 20. Applications 2005/248 pp./31 color illustrations of interval methods to phylogenetics R. Sainudiin and R. Yoshida; 21. Analysis of point mutations in 85554-3/Hb/List: $39.99 vertebrate genomes J. Al-Aidroos and S. Snir; Disc.: $31.99 22. Ultra-conserved elements in vertebrate genomes M. Drton, N. Eriksson and G. Leung; Index 2005/432 pp./3 color plates/ 100 line diagrams/5 tables 85700-7/Hb/List: $60.00 Disc.: $48.00

4 Call 1-800-872-7423 • Fax 845-353-4141 Highlights / Logic & Combinatorics Now in paperback… The Quantum Theory Logic & of Fields Combinatorics How To Prove It Volume 1: Foundations; A Structured Approach Volume 2: Modern Applications; Combinatorics of Second Edition Daniel J. Velleman Volume 3: Supersymmetry Symmetric Designs Amherst College, MA Steven Weinberg Yury J. Ionin University of Texas, Austin Geared to preparing students to make Central Michigan University, Mount Pleasant the transition from solving problems to “Provides an impressively lucid Mohan S. Shrikhande proving theorems, this text teaches them and thorough presentation of the Central Michigan University the techniques needed to read and write subject from this modern viewpoint ... Providing a unified exposition of the proofs. The book begins with the basic Weinberg manages to present difficult theory of symmetric designs with topics with richness of meaning and concepts of logic and set theory to emphasis on recent developments, this marvellous clarity. Full of valuable familiarize students with the language of volume covers the combinatorial aspects insights, his treatise is sure to mathematics and its interpretation. These of the theory, giving particular attention become a classic.” concepts are used as the basis for a step- to the construction of symmetric designs —Nature by-step breakdown of the most important and related objects. The book concludes Contents: techniques used in constructing proofs.To VOLUME I: 1. Historical introduction; with a comprehensive bibliography of help students construct their own proofs, 2. Relativistic quantum mechanics; 3. Scattering over 400 entries. Detailed proofs and a this new edition contains over 200 new theory; 4. The cluster decomposition principle; large number of exercises make it suitable 5. Quantum fields and antiparticles; exercises, selected solutions, and an as a text for an advanced course in 6. The Feynman rules; 7. The canonical formalism; introduction to Proof Designer software. combinatorial designs. 8. Massless particles: electrodynamics; 9. Path No background beyond standard high integral methods; 10. Nonperturbative methods; Contents: 11. One-loop radiative corrections in quantum 1. Combinatorics of finite sets;2. Introduction to school mathematics is assumed. electrodynamics; 12. General renormalization designs; 3. Vector spaces over finite fields; Contents: theory; 13. Infrared effects; 14. Bound states in 4. Hadamard matrices; 5. Resolvable designs; 1. Sentential logic: 2. Quantificational logic; external fields. VOLUME II: 15. Non-Abelian 6. Symmetric designs and t-designs; 7. Symmetric 3. Proofs; 4. Relations; 5. Functions; gauge theories; 16. External field methods; designs and regular graphs; 8. Block intersection 6. Mathematical induction; 7. Infinite sets. 17. Renormalization of gauge theories; structure of designs; 9. Difference sets; 2006/400 pp./10 tables/536 exercises 18. Renormalization group methods; 10. Balanced generalized weighing matrices; 86124-1/Hb/List: $75.00 19. Spontaneously broken global symmetries; 11. Decomposable symmetric designs; 12. Disc.: $60.00 20. Operator product expansions; Subdesigns of symmetric designs; 13. Non- 67599-5/Pb/List: $29.99 21. Spontaneous breaking of gauge symmetries; embeddable quasi-residual designs; Appendix; Disc.: $23.99 22. Anomalies; 23. Topological complications; Bibliography; Index. Subject index; Author index. VOLUME III: New Mathematical Monographs 5 24. Historical introduction; 25. Supersymmetry 2006/c. 536 pp./200 exercises Introduction to algebras; 26. Supersymmetric field theories; 27. Supersymmetric gauge theories; 81833-8/Hb/List: $110.00* Coding Theory 28. Supersymmetric versions of the standard Disc.: $88.00* Ron M. Roth model; 29. Beyond perturbation theory; 30. Technion–Israel Institute of Technology, Haifa Supergraphs; 31. Supergravity; 32. Supersymmetry Surveys in Error-correcting codes constitute one of in higher dimensions; Author index; Subject index. the key ingredients in achieving the high 2005/c. 1592 pp./Volume 1:(0-521-67053- Combinatorics 2005 5)/Volume 2:(0-521-67054-3)/Volume 3: Editor degree of reliability required in modern (0-521-67055-1)/($45.00 each) Bridget S. Webb data transmission and storage systems. 67056-X/3 Vol. Paperback Set/List: $120.00 The Open University, UK This book introduces the reader to the Disc.: $96.00 Contents: theoretical foundations of error-correcting 1. Finite field models in additive combinatorics codes, with an emphasis on Reed- Ben Green; 2. The subgroup structure of finite Solomon codes and their derivative codes. classical groups in terms of geometric Contents: configurations Oliver H. King; 3. Constructing Preface; 1. Introduction; 2. Linear codes; combinatorial objects via cliques Patric R. J. 3. Introduction to finite fields; 4. Bounds on Ostergard; 4. Flocks of circle planes Tim Penttila; the parameters of codes; 5. Reed-Solomon 5. Judicious partitions and related problems Alex codes and related codes; 6. Decoding of Reed- Scott; 6. An isoperimetric method for the small Solomon codes; 7. Structure of finite fields; sumset problem O. Serra; 7. The structure of claw- 8. Cyclic codes; 9. List decoding of Reed-Solomon free graphs Maria Chudnovsky and Paul Seymour; codes; 10. Codes in the Lee metric; 11. MDS codes; 8. The multivariate Tutte polynomial (alias Potts 12. Concatenated codes; 13. Graph codes; model) for graphs and matroids Alan D. Sokal; 14. Trellis codes and convolutional codes; 9. The sparse regularity lemma and its Appendix A. Basics in modern algebra; applications Stefanie Gerke and Angelika Steger. Bibliography; List of symbols; Index. London Mathematical Society Lecture Note Series 327 2005/c. 584 pp./66 line diagrams/ 12 tables/348 exercises 2005/266 pp./75 exercises 84504-1/Hb/List: $75.00 61523-2/Pb/List: $60.00 Disc.: $60.00 Disc.: $48.00

5 www.cambridge.org/us/mathematics Logic & Combinatorics Applied Combinatorics Topics in Algebraic A First Course in on Words Graph Theory Combinatorial Editor Editors Optimization M. Lothaire Lowell W. Beineke Jon Lee The aim of this volume, the third in a Indiana University–Purdue University, Fort Wayne IBM T.J. Watson Research Center,Yorktown trilogy, is to present a unified treatment of Robin J. Wilson Heights, NY The Open University, UK some of the major fields of applications of “Lee strikes a perfect balance Peter J. Cameron between the specific and the general, combinatorics on words. The breadth of Academic Consultant application, combined with the inclusion between the concrete and the Foreword by abstract.” of problems and algorithms and a Peter J. Cameron – CHOICE complete bibliography, will make this The rapidly expanding area of algebraic book ideal for graduate students and Jon Lee focuses on key mathematical graph theory uses two different branches professionals in mathematics, computer ideas leading to useful models and of algebra to explore various aspects of science, biology, and linguistics. algorithms, rather than on data structures graph theory: linear algebra (for spectral Contents and Contributors: and implementation details, in this 1. Algorithms on words J. Berstel and D. Perrin; theory) and group theory (for studying introductory graduate-level text for 2. Structures for indexes M. Crochemore; graph symmetry). These areas have links students of operations research, 3. Symbolic natural language processing E. with other areas of mathematics, such mathematics, and computer science. Laporte; 4. Statistical natural language processing as logic and harmonic analysis, and are Contents: M. Mohri; 5. Inference of network expressions Introduction; 0. Polytopes and linear N. Pisanti and M. Sagot; 6. Statistics on words increasingly being used in such areas as computer networks where symmetry is programming; 1. Matroids and the greedy with applications to biological sequences algorithm; 2. Minimum-weight dipaths; 3. Matroid G. Reinbert, Sophie Schbath and M. Waterman; an important feature. Other books cover intersection; 4. Matching; 5. Flows and cuts; 6. 7. Analytic approach to pattern matching portions of this material, but this book is Cutting planes; 7. Branch-&-bound; 8. Optimizing P. Jacquet and W. Szpankowski; 8. Periodic unusual in covering both of these aspects. submodular functions; Appendix. structures on words D. Poulalhon and G. Schaeffer; 9. Counting, coding and sampling Contents and Contributors: Cambridge Texts in Applied Mathematics with words R. Kolpakov and G. Koucherov; 10. Foreword Peter J. Cameron; Introduction; 2004/228 pp. Words in number theory J. Allouche and V. Berthé; 1. Eigenvalues of graphs Michael Doob; 2. Graphs 81151-1/Hb/List: $80.00 References; General index and matrices Richard A. Brualdi and Bryan L. Disc.: $64.00 Shader; 3. Spectral graph theory Dragos Cvetkovic Encyclopedia of Mathematics and 01012-8/Pb/List: $34.99 and Peter Rowlinson; 4. Graph Laplacians Bojan its Applications 105 Disc.: $27.99 Mohar; 5. Automorphism groups Peter J. 2005/626 pp./9 halftones/53 figures/ Cameron; 6. Cayley graphs Brian Alspach; 7. Finite 41 line diagrams symmetric graphs Cheryle E. Praeger; 8. Strongly Global Methods for 84802-4/Hb/List: $125.00 regular graphs Peter J. Cameron; 9. Distance- Disc.: $100.00 transitive graphs Arjeh M. Cohen; 10. Computing Combinatorial with graphs and groups Leonard H. Soicher Isoperimetric Problems Tolerance Graphs Encyclopedia of Mathematics and its Applications 102 Larry Harper Martin Golumbic University of California, Riverside 2004/290 pp./37 line diagrams/8 tables University of Haifa, Israel “It is a very nice and useful book, Ann Trenk 80197-4/Hb/List: $95.00 Disc.: $76.00 written by a real expert in the field. I Wellesley College, MA believe that both specialists in the “Many first-rate mathematicians area and mathematicians with other have contributed, making the The Covering Property backgrounds will find lots of new exposition’s quality high overall. Axiom, CPA interesting material in this book.” Highly recommended.” A Combinatorial Core of —Mathematics of Computation —D.V. Feldman, University of New Hampshire, the Iterated Perfect Set Model Contents: CHOICE 1. The edge-isoperimetric problem; Contents: Krzysztof Ciesielski 2. The minimum path problem; 3. Stabilization 1. Introduction; 2. Early work on tolerance graphs; West Virginia University, Morgantown and compression; 4. The vertex-isoperimetric 3. Trees, cotrees and bipartite graphs; 4. Interval Janusz Pawlikowski problem; 5. Stronger stabilization; 6. Higher probe graphs; 5. Bitolerance graphs and ordered Wroclaw University, Poland compression; 7. Isoperimetric problems of sets; 6. Unit and 50% tolerance graphs; 7. Contents: infinite graphs; 8. Isoperimetric problems on Comparability and invariance results; 8. Bounded 1. Axiom CPAcube and its consequences: complexes; 9. Morphisms for MWI problems; bitolerance recognition; 9. Algorithms on properties (A)-(E); 2. Games and axiom 10. Passage to the limit; 11. Afterword; tolerance graphs; 10. The hierarchy of bitolerance CPAgame/cube; 3. Prisms and axioms 12. The classical isoperimetric problem. orders; 11. Tolerance models on trees; 12. Phi- CPAgame/prism and CPAprism; 4. CPAprism and Cambridge Studies in tolerance models; 13. Directed tolerance graphs; coverings with smooth functions; 5. Applications Advanced Mathematics 90 14. Open questions and further directions. of CPAgame/prism; 6. CPA and properties 2004/246 pp./50 line diagrams Cambridge Studies in (F*) and (G); 7. CPA in the Sacks model 83268-3/Hb/List: $70.00 Advanced Mathematics 89 Cambridge Tracts in Mathematics 164 Disc.: $56.00 2004/278 pp./50 line diagrams 2004/200 pp./3 line diagrams 82758-2/Hb/List: $70.00 83920-3/Hb/List: $80.00 Disc.: $56.00 Disc.: $64.00

6 Call 1-800-872-7423 • Fax 845-353-4141 Algebra operators; 17. q-Hermite polynomials on the unit of the universal enveloping algebra; 12. Character Algebra circle; 18. Discrete q-orthogonal polynomials; and dimension formulae; 13. Fundamental 19. Fractional and q-fractional calculus; modules for simple Lie algebras; 14. Generalized 20. Polynomial solutions to functional equations; Cartan matrices and Kac-Moody algebras; Modular 21. Some indeterminate moment problems; 15. The classification of generalised Cartan 22. The RiemannSHHilbert problem; 23. Multiple matrices; 16 The invariant form, root system and Representations of orthogonal polynomials; 24. Research problems; Weyl group; 17. Kac-Moody algebras of affine Bibliography; Index. type; 18. Realisations of affine Kac-Moody Finite Groups of Lie Type Encyclopedia of Mathematics and algebras; 19. Some representations of James E. Humphreys its Applications 98 symmetrisable Kac-Moody algebras; 20. University of Massachusetts, Amherst 2005/724 pp./1 line diagram/80 exercises Representations of affine Kac-Moody algebras; Contents: 78201-5/Hb/List: $140.00 21. Borcherds Lie algebras; Appendix. 1. Finite groups of Lie type; 2. Simple modules; Disc.: $112.00 Cambridge Studies in 3. Weyl modules and Lusztig’s conjecture; Advanced Mathematics 96 4. Computation of weight multiplicities; 5. Other 2005/649 pp./10 line diagrams aspects of simple modules; 6. Tensor products; Elements of the 85138-6/Hb/List: $80.00 7. BN-pairs and induced modules; 8. Blocks; Representation Theory Disc.: $64.00 9. Projective modules; 10. Comparison with Frobenius kernals; 11. Caran invariants; of Associative Algebras Linear and Projective 12. Extensions of simple modules; 13. Lewy Techniques of Representation Theory series; 14. Cohomology; 15. Complexity and Representations of support varieties; 16. Ordinary and modular I. Assem representations; 17. Deligne-Lusztig characters; Sherbrooke University, Quebec, Canada Symmetric Groups 18. The groups; 19. General and special linear Andrzej Skowronski Alexander Kleshchev Warsaw University, Poland groups; 20. Suzuki and Ree groups; Bibliography; University of Oregon, Eugene Frequently used symbols; Index. D. Simson Contents: London Mathematical Society Warsaw University Lecture Note Series 326 Introduction; Part I. Linear Representations: This first part of a two-volume set offers 1. Notations and generalities; 2. Symmetric 2006/250 pp./4 figures/30 tables a modern account of the representation groups I; 3. Degenerate affine Hecke algebra; 67454-9/Pb/List: $55.00 theory of finite dimensional associative 4. First results on Hn-modules; 5. Crystal Disc.: $44.00 operators; 6. Character calculations; 7. Integral algebras over an algebraically closed field. representations and cyclotomic Hecke algebras; Free Ideal Rings The authors present this topic from the 8. Functors ei and fi; 9. Construction of UZ + perspective of linear representations of and irreducible modules; 10. Identification of the and Localization in finite-oriented graphs (quivers) and crystal; 11. Symmetric groups II; Part II. Projective homological algebra. The volume will be representations: 12. Generalities on superalgebra; General Rings 13. Sergeev superalgebras; 14. Affine Sergeev Paul Cohn of great interest to graduate students superalgebras; 15. Integral representations and University of London, UK beginning research in the representation cyclotomic Sergeev algebras; 16. First results on Contents: theory of algebras and to mathematicians Xn-modules; 17. Crystal operators on Xn; Preface; Note to the reader; Terminology, from other fields. 18. Character calculations for Xn ; 19. Operators ei and fi ; 20. Construction of UZ + and notations and conventions used; List of special Contents: notation; 0. Preliminaries in modules; irreducible modules; 21. Identification of the 0. Introduction; 1. Algebras and modules; crystal; 22. Double covers; Bibliography. 1. Principal ideal domains; 2. Firs, semifirs and the 2. Quivers and algebras; 3. Representations and Cambridge Tracts in Mathematics 163 weak algorithm; 3. Factorization; 4. 2-firs with a modules; 4. Auslander-Reiten theory; distributive factor lattice; 5. Modules over firs and 5. Nakayama algebras and representation- 2005/292 pp. semifirs; 6. Centralizers and subalgebras; 7. Skew finite group algebras; 6. Tilting theory; 83703-0/Hb/List: $80.00 fields of fractions; Appendix; Bibliography and 7. Representation-finite hereditary algebras; Disc.: $64.00 author index; Subject index. 8. Tilted algebras; 9. Directing modules and New Mathematical Monographs 3 postprojective components; A. Appendix. Poincaré Duality 2006/c. 700 pp./19 figures/19 line diagrams/ Categories functors and homology. 52 exercises London Mathematical Society Algebras, Macaulay’s 85337-0/Hb/List: $140.00 Student Texts Disc.: $112.00 2005/472 pp. Dual Systems, and 58423-X/Hb/List: $90.00 Steenrod Operations Classical and Quantum Disc.: $72.00 Dagmar Meyer Orthogonal Polynomials 58631-3/Pb/List: $45.00 Georg-August-Universität, Göttingen, Germany Disc.: $36.00 Larry Smith in One Variable Georg-August-Universität, Göttingen, Germany Mourad E.H. Ismail Lie Algebras of Poincaré duality algebras originated in the University of Central Florida, Orlando Finite and Affine Type work of topologists on the cohomology of Contents: Roger Carter closed manifolds, and Macaulay's dual 1. Preliminaries; 2. Orthogonal polynomials; 3. systems in the study of irreducible ideals Differential equations; 4. Jacobi polynomials; 5. University of Warwick, UK Some inverse problems; 6. Discrete orthogonal Contents: in polynomial algebras. These two ideas polynomials; 7. Zeros and inequalities; 8. 1. Basic concepts; 2. Representations of soluble are tied together using basic commutative Polynomials orthogonal on the unit circle; 9. and nilpotent Lie algebras; 3. Cartan subalgebras; algebra involving Gorenstein algebras. 4. The Cartan decomposition; 5. The root systems Linearization, connections and integral Steenrod operations also originated in representations; 10. The Sheffer classification; 11. and the Weyl group; 6. The Cartan matrix and the q-series preliminaries; 12. q-summation theorems; Dynkin diagram; 7. The existence and uniqueness algebraic topology, but may best be 13. Some q-orthogonal polynomials; 14. theorems; 8. The simple Lie algebras; 9. Some viewed as a means of encoding the Exponential and q-Bessel functions; 15. The universal constructions; 10. Irreducible modules information often hidden behind the Askey-Wilson polynomials; 16. The Askey-Wilson for semisimple Lie algebras; 11. Further properties 7 www.cambridge.org/us/mathematics Algebra Frobenius map in characteristic p<>0. Solving Polynomial Trends in They provide a noncommutative tool to study commutative algebras over a Galois Equation Systems II Commutative Algebra field. In this Tract the authors skillfully Macaulay’s Paradigm Editors bring together these ideas and apply and Gröbner Technology Luchezar L. Avramov them to problems in invariant theory. Teo Mora Purdue University, West Lafayette, IN A number of remarkable and unexpected University of Genoa, Italy Mark Green interdisciplinary connections are revealed Contents: University of California, Los Angeles Craig Huneke that will interest researchers in the areas Preface; Part III. Gauss, Euclid, Buchberger - Elementary Gröbner Bases: 20. Hilbert; 21. Gauss; University of Kansas, Lawrence of commutative algebra, invariant theory 22. Buchberger; 23. Macaulay I; 24. Gröbner I; Karen E. Smith or algebraic topology. 25. Gebauer and Traverso; 26. Spear; Part IV. University of Michigan, Ann Arbor Contents: Duality: 27. Noether; 28. Möller I; 29. Lazard; 30. Bernd Sturmfels Introduction; Part I. Poincaré Duality Quotients; Macaulay II; 31. Gröbner II; 32. Gröbner III; 33. University of California, Berkeley Part II. Macaulay’s Dual Systems and Frobenius Möller II; Part IV. Beyond Dimension Zero: 34. Gröbner IV; 35. Gianni Trager Zacharias; 36. Contents and Contributors: Powers; Part III. Poincaré Duality and the Steenrod 1. Commutative algebra of N points in the plane Algebra; Part IV. Dickson, Symmetric, and other Macaulay III; 37. Galligo; 38. Giusti; Bibliography; Index. Mark Haiman; 2. Resolutions of point in P2 Coinvariants; Part V.The Hit Problem mod 2; Part Jessica Sidman; 3. Toric local cohomology Ezra VI. Macaulay’s Inverse Systems and Applications; Encyclopedia of Mathematics and its Applications 99 Miller; 4. The geometry of syzygies David References; Notation; Index. Eisenbaum; 5. Tight closure Melvin Hochster; 6. Cambridge Tracts in Mathematics 167 2005/782 pp. Some examples in tight closure Graham Leuschke; 2005/199 pp./5 figures/5 line diagrams/ 81156-2/Hb/List: $150.00 7. Introduction to the theory of multiplier ideals 5 tables Disc.: $120.00 Rob Lazarsfeld; 8. Resolution of singularities and 85064-9/Hb/List: $75.00 multiplier ideals Ana Bravo; 9. Monomial ideas, Disc.: $60.00 Double Affine bonomial ideals, polynomial ideals Bernard Teissier; 10. The intersections of homology D- General Theory of Hecke Algebras module in finite characters Manuel Blickle; 11. Ivan Cherednik Depth for complexes, and intersection theorems Lie Groupoids and University of North Carolina, Chapel Hill Srikanth Iyengar. Mathematical Sciences Research Institute Lie Algebroids This is a unique, essentially self-contained, Publications Kirill Mackenzie monograph in a new field of fundamental 2004/264 pp. University of Sheffield, UK importance for representation theory, 83195-4/Hb/List: $60.00 Contents: harmonic analysis, mathematical physics, Disc.: $48.00 Part I. The General Theory: 1. Lie groupoids: and combinatorics. It is a major source of fundamental theory; 2. Lie groupoids: algebraic general information about the double constructions; 3. Lie algebroids: fundamental affine Hecke algebra, also called theory; 4. Lie algebroids: algebraic constructions; Exploratory Galois Part II. The Transitive Theory: 5. Infinitesimal Cherednik’s algebra, and its impressive connection theory; 6. Path connections and Lie applications. Chapter 1 is devoted to Theory theory; 7. Cohomology and Schouten calculus; the Knizhnik-Zamolodchikov equations John Swallow 8. The cohomological obstruction; Part III. The attached to root systems and their Davidson College, NC Poisson and Symplectic Theories: 9. Double vector bundles; 10. Poisson structures and Lie relations to affine Hecke algebras, Combining a concrete perspective with algebroids; 11. Poisson and symplectic groupoids; Kac-Moody algebras, and Fourier analysis. an exploration-based approach, this 12. Lie bialgebroids; Appendix; Bibliography; Chapter 2 contains a systematic analysis develops Galois theory at an Index. exposition of the representation theory entirely undergraduate level. The text London Mathematical Society Lecture Note Series 213 of the one-dimensional DAHA. It is the grounds the presentation in the concept 2005/540 pp. simplest case but far from trivial with of algebraic numbers with complex 49928-3/Pb/List: $90.00 deep connections in the theory of special approximations and only requires Disc.: $72.00 functions. Chapter 3 is about DAHA in knowledge of a first course in abstract full generality, including applications algebra. It introduces tools for hands-on to Macdonald polynomials, Fourier experimentation with finite extensions transforms, Gauss-Selberg integrals, of the rational numbers for readers with Verlinde algebras, and Gaussian sums. Maple® or Mathematica®. This book is designed for mathematicians Contents: and physicists, experts and students, all 1. Preliminaries; 2. Algebraic numbers, field those who want to master the new extensions, and minimal polynomials; 3. Working with algebraic numbers, field extensions, and double Hecke algebra technique. minimal polynomials; 4. Multiply-generated fields; Contents: 5. The Galois correspondence; 6. Some classical 0. Introduction; 1. KZ equations and QMBP; 2. topics; Historical note. DAHA and Fourier Transform; 3. General Theory 2004/220 pp. London Mathematical Society Lecture Note Series 319 83650-6/Hb/List: $75.00 Disc.: $60.00 2005/446 pp./11 line diagrams 54499-8/Pb/List: $34.99 60918-6/Pb/List: $70.00 Disc.: $27.99 Disc.: $56.00

8 Call 1-800-872-7423 • Fax 845-353-4141 Algebra / Number Theory London Mathematical Society Lecture theory. This book provides a motivating Note Series 311 introduction to sieve theory. Rather 2003/392 pp./50 line diagrams than focus on technical details which Concrete Abstract 54013-5/Pb/List: $70.00 Disc.: $56.00 can obscure the beauty of the theory, Algebra the authors focus on examples and From Numbers to Gröbner Bases applications, developing the theory in Niels Lauritzen parallel. The text can be used for a senior Aarhus Universitet, Denmark Number Theory level undergraduate course or an Concrete Abstract Algebra develops the introductory graduate course in analytic theory of abstract algebra from numbers Elliptic Functions number theory. to Gröbner bases, while taking in all the J.V. Armitage Contents: 1. Some basic notions; 2. Some elementary sieves; usual material of a traditional introductory University of Durham, UK 3. The normal order method; 4. The Turan sieve; course. In addition, there is a rich supply W. Eberlain 5. The sieve of Eratosthenes; 6. Brun’s sieve; of topics such as cryptography, factoring In its first six chapters, this text presents 7. Selberg’s sieve; 8. The large sieve; 9. The algorithms for integers, quadratic residues, the basic ideas and properties of the Bombieri-Vinogradov theorem; 10. The lower finite fields, factoring algorithms for Jacobi elliptic functions as a historical bound sieve; 11. New directions in sieve theory; polynomials, and systems of non-linear Bibliography. essay. Accordingly, it is based on the idea London Mathematical Society equations. A special feature is that of inverting integrals which arise in the Student Texts 66 Gröbner bases do not appear as an theory of differential equations and, in 2006/236 pp./275 exercises isolated example. They are fully integrated particular, the differential equation that 84816-4/Hb/List: $90.00 as a subject that can be successfully describes the motion of a simple Disc.: $72.00 taught in an undergraduate context. pendulum. The later chapters present a 61275-6/Pb/List: $39.99 Contents: more conventional approach to the Disc.: $31.99 1. Numbers; 2. Groups; 3. Rings; 4. Polynomials; 5. Grobner bases; Appendix 1. Relations; Weierstrass functions and to elliptic Appendix 2. Linear algebra integrals, and the reader is introduced to 2003/254 pp./40 line diagrams the richly varied applications of the elliptic Elementary Number 82679-9/Hb/List: $90.00 and related functions. Disc.: $72.00 Contents: Theory in Nine Chapters 53410-0/Pb/List: $39.99 1. The ‘simple’ pendulum; 2. Jacobian elliptic Second Edition Disc.: $31.99 functions of a complex variable; 3. General James J. Tattersall properties of elliptic functions; 4. Theta functions; Providence College, Providence, RI 5. The Jacobian elliptic functions for complex k; “Every chapter has a remarkable Kleinian Groups and 6. Introduction to transformation theory; 7. The collection of exercises of various Hyperbolic 3-Manifolds Weierstrass elliptic functions; 8. Elliptic integrals; 9. Applications of elliptic functions in geometry; degrees of difficulty and contains a Proceedings of the Warwick 10. An application of elliptic functions in algebra wealth of historical information, Workshop, September 11-14, 2001 solution of the general quintic equation; which makes interesting reading.” Editors 11. An arithmetic application of elliptic functions; —Mathematical Reviews 12. Applications in mechanics and statistics and Intended to serve as a one-semester Y. Komori other topics; Appendix; Bibliography. Osaka City University, Japan London Mathematical Society introductory course in number theory, V. Markovic Student Texts 67 this second edition has been revised University of Warwick, UK 2006/c. 420 pp./25 figures/25 line diagrams/ throughout. In particular, the field of C. Series 5 tables cryptography is highlighted. At the heart University of Warwick 78078-0/Hb/List: $90.00* of the book are the major number Contents and Contributors: Disc.: $72.00* theoretic accomplishments of Euclid, 1. Combinatorial and geometrical aspects of 78563-4/Pb/List: $48.00* Fermat, Gauss, Legendre, and Euler. hyperbolic 3-manifolds, Y. Minsky; 2. Cone- Disc.: $38.40* manifolds and the density conjecture, J. Brock Contents: and K. Bromberg; 3. Harmonic deformations of 1. The intriguing natural numbers; hyperbolic 3-manifolds, C. Hodgson and S. An Introduction to 2. Divisibility; 3. Prime numbers; 4. Perfect Kerchoff; 4. Ending laminations in the Masur and amicable numbers; 5. Modular arithmetic; domain, G. Kleineidam and J. Souto; 5. Les Sieve Methods and 6. Congruences of higher degree; géodesiques fermés d’une variété hyperbolique en their Applications 7. Cryptography; 8. Representations; 9. Partitions; Tables; Answers to selected tant que noeuds, J.-P. Otal; 6. Quasi-arcs in the Alina Carmen Cojocaru limit set of a singly degenerate group with exercises; Bibliography. Princeton University, NJ bounded geometry, H. Miyachi; 7. Remarks on 2005/442 pp./20 tables/200 exercises the curve complex and classification of surface M. Ram Murty Queen’s University, Kingston, Ontario, Canada 85014-2/Hb/List: $85.00 mappings, W. Harvey; 8. On hyperbolic and Disc.: $68.00 spherical volumes for knot and link cone Sieve theory has a rich and romantic 61524-0/Pb/List: $34.99 manifolds, A. Mednykh; 9. Variations on a theme history. The ancient question of whether Disc.: $27.99 of Horowitz, J. Anderson; 10. On pairs of once punctured tori, T. Jorgensen; 11. Comparing two there exist infinitely many twin primes convex hull constructions for cusped hyperbolic (primes p such that p+2 is also prime), manifolds, H. Akiyoshi and M. Sakuma; 12. and Goldbach’s conjecture that every even Jorgensen’s picture of punctured torus groups and number can be written as the sum of two its refinement, H. Akiyoshi, M. Sakuma, M. Wada prime numbers, are two of the problems and Y. Yamashita; 13. Tetrahedral decomposition of punctured torus bundles, J. Parker that have inspired the development of the 9 www.cambridge.org/us/mathematics Number Theory Recent Perspectives in Analytic Methods for Random Matrix Theory Diophantine Equations and Number Theory and Diophantine Integer Partitions George E. Andrews Editors Inequalities Pennsylvania State University, University Park Francesco Mezzadri Second Edition Kimmo Eriksson University of Bristol, UK Harold Davenport Mälardalen University College, Vasteras, Sweden Nina C. Snaith University of Bristol Editor The theory of integer partitions is a subject Contents: Tim Browning of enduring interest as well as a major 1. Introduction; 2. Prime number theory and Foreword written by research area. It has found numerous the Riemann zeta-function; 3. Notes on pair R.C. Vaughan applications, including celebrated results correlation of zeros and prime numbers; such as the Rogers-Ramanujan identities. 4. Notes on eigenvalue distributions for the Contents: classical compact groups; 5. Compound nucleus Preface; Foreword; 1. Introduction; 2. Waring’s The aim of this introductory textbook is to resonances, random matrices and quantum chaos; problem: history; 3. Weyl’s inequality and Hua’s provide an accessible and wide-ranging 6. Families of L-functions and 1-level densities; inequality; 4. Waring’s problem: the asymptotic introduction to partitions, without requiring 7. Basic analytic number theory; 8. Applications formula; 5. Waring’s problem: the singular series; 6. The singular series continued; 7. The equation anything more than some familiarity with of mean value theorems to the theory of the polynomials and infinite series. Many Riemann zeta function; 9. L-functions and the C1xk1 + + Csxks=N; 8. The equation C1xk1 + + characteristic polynomials of random matrices; Csxks=0; 9. Waring’s problem: the number G (k); exercises are included, together with some 10. Mock gaussian behaviour; 11. Some 10. The equation C1xk1 + + Csxks=0 again; solutions and helpful hints. 11. General homoogeneous equations: Birch’s specimens of L-functions; 12. Computational Contents: theorem; 12. The geometry of numbers; methods and experiments in analytic number 1. Introduction; 2. Euler and beyond; 3. Ferrers 13. Cubic forms; 14. Cubic forms: bilinear theory. graphs; 4. The Rogers-Ramanujan identities; 5. equations; 15. Cubic forms: minor arcs and major London Mathematical Society Lecture Generating functions; 6. Formulas for partition arcs; 16. Cubic forms: the singular integral; Note Series 322 functions; 7. Gaussian polynomials; 8. Durfee 17. Cubic forms: the singular series; 18. Cubic squares; 9. Euler refined; 10. Plane partitions; 11. 2005/528 pp. forms: the p-adic problem; 19. Homogeneous Growing Ferrers boards; 12. Musings; A. Infinite 62058-9/Pb/List: $65.00 equations of higher degree; 20. A Diophantine series and products; B. References; C. Solutions Disc.: $52.00 inequality; Bibliography; Index and hints. Cambridge Mathematical Library 2004/152 pp./58 line diagrams/5 tables Advances in Elliptic 2005/160 pp. 84118-6/Hb/List: $75.00 60583-0/Pb/List: $39.99 Disc.: $60.00 Curve Cryptography Disc.: $31.99 Editors 60090-1/Pb/List: $27.99 Disc.: $22.39 Ian F. Blake Approximation by University of Toronto, Ontario, Canada Gadiel Seroussi Algebraic Numbers Basic Hypergeometric Hewlett-Packard Laboratories, Palo Alto, CA Yann Bugeaud Series Université Louis Pasteur, Strasbourg, France Nigel P. Smart Second Edition University of Bristol, UK To help the reader access the current Contents and Contributors: George Gasper state of research in this branch of number Northwestern University, Evanston, IL Part I. Protocols: 1. Elliptic curve base protocols theory, Yann Bugeaud combines the most N. P. Smart; 2. On the provable security of ECDSA Mizan Rahman D. Brown; 3. Proofs of security for ECIES A. W. important results previously scattered Carleton University, Ottawa, Ontario, Canada Dent; Part II. Implementation Techniques: throughout the research literature and “...the definitive work on the subject. 4. Side channel analysis E. Oswald; 5. Defenses also includes a number of significant open The book is remarkable in many against side-channel analysis M. Joye; Part III. questions. Although written for graduates ways....it is clearly and carefully Mathematical Foundations: 6. Advances in point written.” counting F.Vercauteren; 7. Hyperelliptic curves who wish to pursue research, the and the HCDLP P. Guadry; 8. Weil descent attacks collection will also be an invaluable —SIAM Review F. Hess; Part IV. Pairing Based Techniques: reference work for established Contents: 9. Pairings S. Galbraith; 10. Cryptography from researchers. Foreword; Preface; 1. Basic hypergeometric pairings K. G. Paterson. series; 2. Summation, transformation, and Contents: expansion formulas; 3. Additional summation, London Mathematical Society Lecture Preface; Frequently used notation; 1. Note Series 317 transformation, and expansion formulas; 4. Basic Approximation by rational numbers; 2. 2005/298 pp./7 line diagrams/11 tables contour integrals; 5. Bilateral basic hypergeometric Approximation to algebraic numbers; 3. The series; 6. The Askey-Wilson q-Beta integral and 60415-X/Pb/List: $55.00 classifications of Mahler and Koksma; 4. Mahlers some associated formulas; 7. Applications to Disc.: $44.00 conjecture on S-numbers; 5. Hausdorff dimension orthogonal polynomials; 8. Further applications; of exceptional sets; 6. Deeper results on the 9. q-Series in two and more variables; 10. Linear measure of exceptional sets; 7. On T-numbers and and bilinear generating functions for basic U-numbers; 8. Other classifications of real and orthogonal polynomials; 11. Summation and complex numbers; 9. Approximation in other transformation formulas for elliptic hypergeometric fields; 10. Conjectures and open questions; series; Appendices; References; Author index; Appendix A. Lemmas on polynomials; Appendix B. Symbol index; Subject index Geometry of numbers; Bibliography; Index. Encyclopedia of Mathematics and Cambridge Tracts in Mathematics 160 its Applications 96 2004/290 pp. 2004/454 pp. 82329-3/Hb/List: $75.00 83357-4/Hb/List: $120.00 Disc.: $60.00 Disc.: $96.00

10 Call 1-800-872-7423 • Fax 845-353-4141 Number Theory / Geometry & Topology Automatic Sequences Geometry & Fundamentals of Theory, Applications, Generalizations Hyperbolic 3-Manifolds Jean-Paul Allouche Topology Selected Expositions CNRS-LSI, Orsay, France Jeffrey Shallit Editors University of Waterloo, Ontario, Canada Riemannian Geometry Richard Canary “The book is a successful combination A Modern Introduction University of Michigan, Ann Arbor of a monograph (almost encyclopedic) Albert Marden Second Edition University of Minnesota, Minneapolis and an introduction to the subject. Isaac Chavel Professional mathematicians and David Epstein theoretical computer scientists will Requiring only an understanding of University of Warwick, UK find the most important results, differentiable manifolds, Isaac Chavel Contents and Contributors: applications and examples of the covers introductory ideas followed by a Preface 2005; Preface; Part I. Notes on Notes of Thurston R. D. Canary, D. B. A. Epstein and P. theory, with motivation, cleverly selection of more specialized topics in this Green; Part II. Convex Hulls in Hyperbolic Space, collected and clearly represented. second edition. He provides a clearer a Theorem of Sullivan, and Measured Pleated Selected applications in number treatment of many topics, with new Surfaces D. B. A. Epstein and A. Marden; Part III. theory, combinatorics on words and proofs of some theorems and a new Earthquakes in Two-Dimensional Hyperbolic physics show the strength of the chapter on the Riemannian geometry of Geometry William P.Thurston; Part IV. Lectures on Measures on Limit Sets of Kleinian Groups theory. Lists of open questions show surfaces. Among the classical topics the way for further development. S. J. Patterson. All this is supplemented with a shown in a new setting is isoperimetric London Mathematical Society Lecture bibliographical notes and comments, inequalities in curved spaces. Completely Note Series 328 and an impressive list of new themes created by curvature include 2006/c. 350 pp./75 figures/75 line diagrams references...This is a good and the classical Rauch comparison theorem 61558-5/Pb/List: $60.00* carefully written book by two experts and its consequences in geometry and Disc.: $48.00* in the field.” topology, and the interaction of —Guentcho Skordev, University of Bremen microscopic behavior of the geometry Geometry and Topology Contents: with the macroscopic structure of the Miles Reid Preface; 1. Stringology; 2. Number theory space. University of Warwick, UK and algebra; 3. Numeration systems; 4. Finite Balazs Szendröi automata and other models of computation; Contents: 1. Riemannian manifolds; 2. Riemannian University of Oxford 5. Automatic sequences; 6. Uniform morphisms Geometry is central to many branches of and automatic sequences; 7. Morphic sequences; curvature; 3. Riemannian volume; 4. Riemannian 8. Frequency of letters; 9. Characteristic words; coverings; 5. Surfaces; 6. Isoperimetric inequalities mathematics and physics, and offers a 10. Subwords; 11. Cobham’s theorem; (constant curvature); 7. The kinetic density; complete range of views on the universe. 12. Formal power series; 13. Automatic real 8. Isoperimetric inequalities (variable curvature); 9. Comparison and finiteness theorems This volume is an introduction to the numbers; 14. Multidimensional automatic ideas and includes many simple sequences; 15. Automaticity; 16. k-regular Cambridge Studies in sequences; 17. Physics; A. Hints ... for selected Advanced Mathematics 98 explanations and examples. Prerequisites exercises. 2006/c. 392 pp./22 line diagrams are minimal, so it is ideally suited to 2003/588 pp./170 line diagrams/460 exercises 85368-0/Hb/List: $85.00* beginning courses in, and newcomers to, 82332-3/Hb/List: $53.00 Disc.: $68.00* the subject. It places special emphasis on Disc.: $42.40 61954-8/Pb/List: $37.99* coordinate systems and the coordinate Disc.: $30.39* changes that generate symmetries. The book is based on many years of teaching The Cube-A Window experience so is thoroughly class-tested. to Convex and There are many illustrations and chapters Discrete Geometry end with a collection of exercises, Chuanming Zong solutions to which are available for Western Washington University teachers. This tract has two purposes: to show what Contents: 0. Introduction; 1. Euclidean geometry; is known about the n-dimensional unit 2. Composing maps; 3. Non-Euclidean; cubes and to demonstrate how Analysis, 4. Affine geometry; 5. Projective geometry; Algebra, Combinatorics, Graph Theory, 6. Geometry and group theory; 7. Topology; Hyperbolic Geometry, and Number Theory 8. Geometry of transformation groups; 9. Concluding remarks; A. Metrics; can be applied to the study of them. B. Linear algebra; References; Index. Contents: 2005/214 pp./1 halftone/92 figures/ Preface; Basic notation; 0. Introduction; 92 line diagrams/156 exercises 1. Inscribed simplices; 2. Projections; 3. Inscribed simplices; 4. Triangulations; 5. 0/1 polytopes; 84889-X/Hb/List: $95.00 6. Minkowski’s conjecture; 7. Furtwangler’s Disc.: $76.00 conjecture; 8. Keller’s conjecture; Bibliography; 61325-6/Pb/List: $45.00 Index. Disc.: $36.00 Cambridge Tracts in Mathematics 168 2006/184 pp./6 figures/6 line diagrams 85535-7/Hb/List: $70.00 Disc.: $56.00 11 www.cambridge.org/us/mathematics Geometry & Topology Combinatorial and Geometric Mechanics Introduction to Computational and Symmetry Circle Packing Geometry The Peyresq Lectures The Theory of Discrete Editors Editors Analytic Functions Jacob E. Goodman James Montaldi Kenneth Stephenson City University of New York, NY University of Manchester Institute of University of Tennessee, Knoxville Science and Technology, UK János Pach The topic of ‘circle packing’ was born of City University of New York and Tudor Ratiu the computer age but takes its inspiration New York University École Polytechnique Fédérale, Lausanne, Switzerland and themes from core areas of classical Emo Welzl Contents and Contributors: mathematics. A circle packing is a Eidgenössische Technische Hochschule Zürich, configuration of circles having a specified Switzerland 1. Stability in Hamiltonian systems: applications to the restricted three-body problem K. R. Meyer, pattern of tangencies, as introduced by During the past few decades, the gradual B. Rink and T.Tuwankotta; 2. A crash course in William Thurston in 1985. This book lays merger of Discrete Geometry and the geometric mechanics T. S. Ratiu, E. Sousa Dias, out their study, from first definitions to newer discipline of Computational L. Sbano, G. Terra and R. Tudoran; 3. The Euler- latest theory, computations, and Geometry has provided enormous impetus Poincare variational framework for modeling fluid dynamics D. D. Holm; 4. No polar coordinates applications. The topic can be enjoyed for to mathematicians and computer R. H. Cushman, D. Sadovskii and K. Efstanthiou; the visual appeal of the packing images - scientists interested in geometric 5. Survey on dissipative KAM theory including over 200 in the book and the elegance problems. This volume, which contains quasi-periodic bifurcation theory H. Broer, of circle geometry, for the clean line of 32 papers on a broad range of topics of M.-C. Ciocci and A. Litvak-Hinenzon; theory, for the deep connections to current interest in the field, is an 6. Symmetric Hamiltonian bifurcations P.-L. Buono, F. Laurent-Polz and J. Montaldi. classical topics, or for the emerging outgrowth of that synergism. It includes London Mathematical Society Lecture applications. surveys and research articles exploring Note Series 306 Contents: geometric arrangements, polytopes, 2005/412 pp. Part I. An Overview of Circle Packing: packing, covering, discrete convexity, 53957-9/Pb/List: $75.00 1. A circle packing menagerie; 2. Circle packings geometric algorithms and their Disc.: $60.00 in the wild; Part II. Rigidity: Maximal Packings: complexity, and the combinatorial 3. Preliminaries: topology, combinatorics, and Mathematical geometry; 4. Statement of the fundamental complexity of geometric objects, result; 5. Bookkeeping and monodromy; particularly in low dimension. Illustrations 6. Proof for combinatorial closed discs; Contributors: 7. Proof for combinatorial spheres; Pankaj K. Agarwal, Sariel Har-Peled, Kasturi A Manual of Geometry 8. Proof for combinatorial open discs; 9. Proof Varadarajan, Imre Barany, Alexander Barvinok, and PostScript for combinatorial surfaces; Part III. Flexibility: Grigoriy Blekherman, Saugata Basu, Jacob E. Bill Casselman Analytic Functions: 10. The intuitive landscape; Goodman, Andreas Holmsen, Richard Pollack, University of British Columbia, Vancouver, Canada 11. Discrete analytic functions; 12. Construction Saugata Basu, Richard Pollack, Marie-Francoise “This book will take a permanent tools; 13. Discrete analytic functions on the disc; Roy, Margaret M. Bayer, Andras Bezdek, Karoly place on my bookshelf and I will 14. Discrete entire functions; 15. Discrete rational Bezdek, Tibor Bisztriczky, Karoly Boroczky, functions; 16. Discrete analytic functions on Alexander Bobenko, Peter Brass, Gruia Calinescu, surely recommend it highly to anyone Riemann surfaces; 17. Discrete conformal Adrian Dumitrescu, Erik D. Demaine, Joseph interested in geometry, mathematics, structure; 18. Random walks on circle packings; O’Rourke, Mike Develin, Francisco Santos, Bernd and illustrations as well as those who Part IV: 19. Thurstons Conjecture; 20. Extending Sturmfels, Herbert Edelsbrunner, Patrice Koehl, appreciate a good mathematical the Rodin/Sullivan theorem; 21. Approximation Richard G. Ehrenborg, David Eppstein, Eva Maria read.” of analytic functions; 22. Approximation of Feichtner, Gabor Fejes Toth, Peter Gritzmann, —Computing Reviews conformal structures; 23. Applications; Appendix Thorsten Theobald, Aladar Heppes, Wlodzimierz Contents: A. Primer on classical complex analysis; Appendix B. The ring lemma; Appendix C. Doyle spirals; Kuperberg, Michael Joswig, Hagit Last, Yuanxin 1. Getting started in PostScript; 2. Elementary Appendix D. The Brooks parameter; Appendix E. Liu, Jack Snoeyink, Bernard Mourrain, Fabrice coordinate geometry; 3. Variables and procedures; Schwarz and buckyballs; Appendix F. Inversive Rouillier, Niranjan Nilakantan, Janos Pach, Rom 4. Coordinates and conditionals; 5. Drawing distance packings; Appendix G. Graph embedding; Pinchasi, Joerg Rambau, Istvan Talata, Csaba D. polygons: loops and arrays; 6. Curves; Appendix H. Square grid packings; Appendix I. Toth, Geza Toth, Pavel Valtr, Santosh Vempala 7. Drawing curves automatically: procedures as Experimenting with circle packings. Mathematical Sciences Research Institute arguments; 8. Non-linear 2D transformations: Publications 52 deconstructing paths; 9. Recursion in PostScript; 2005/368 pp./10 color plates 2005/528 pp. 10. Perspective and homogeneous coordinates; 190 line diagrams 84862-8/Hb/List: $80.00 11. Introduction to drawing in three dimensions; 82356-0/Hb/List: $60.00 Disc.: $64.00 12. Transformations in 3D; 13. PostScript in 3D; Disc.: $48.00 14. Drawing surfaces in 3D; Appendix 1. Summary of PostScript commands; Appendix 2. Setting up your PostScript environment; Appendix 3. Structured PostScript documents; Appendix 4. Simple text display; Appendix 5. Zooming; Appendix 6. Evaluating polynomials: getting along without variables; Appendix 7. Importing PostScript files; Epilogue 2005/336 pp./364 line diagrams 83921-1/Hb/List: $90.00 Disc.: $72.00 54788-1/Pb/List: $39.99 Disc.: $31.99

12 Call 1-800-872-7423 • Fax 845-353-4141 Geometry & Topology formulas and the kinematic fundamental formula Projective Differential A Sampler of Riemann- in noneuclidean spaces; 19. Integral geometry and Geometry Old and New Finsler Geometry foliated spaces: trends in integral geometry Cambridge Mathematical Library From the Schwarzian Editors 2004/424 pp./55 line diagrams Derivative to Cohomology of David Bao University of Houston, TX 52344-3/Pb/List: $55.00 Diffeomorphism Groups Disc.: $44.00 V. Ovsienko Robert L. Bryant Institut Girard Desargues, Lyon, France Duke University, Durham, NC Electromagnetic Theory S. Tabachnikov Shiing-Shen Chern Pennsylvania State University, University Park University of California, Berkeley and Computation Contents: Zhongmin Shen Indiana University-Purdue University, Indianapolis A Topological Approach Preface: why projective?; 1. Introduction; Paul W. Gross 2. The geometry of the projective line; Finsler geometry generalizes Riemannian Mathematical Sciences Research Institute and 3. The algebra of the projective line and geometry in the same sense that Banach Hewlitt-Packard/Agilent, San Francisco cohomology of Diff(S1); 4. Vertices of projective spaces generalize Hilbert spaces. This curves; 5. Projective invariants of submanifolds; P. Robert Kotiuga 6. Projective structures on smooth manifolds; book presents an expository account of Boston University, MA 7. Multi-dimensional Schwarzian derivatives and seven important topics in Riemann-Finsler Although topology was recognized by differential operators; Appendix 1. Five proofs of geometry, ones which have recently Gauss and Maxwell to play a pivotal role the Sturm theorem; Appendix 2. The language of undergone significant development but in the formulation of electromagnetic symplectic and contact geometry; Appendix 3. have not had a detailed pedagogical The language of connections; Appendix 4. The boundary value problems, it is a largely language of homological algebra; Appendix 5. treatment elsewhere. Each article will unexploited tool for field computation. Remarkable cocycles on groups of open the door to an active area of The development of algebraic topology diffeomorphisms; Appendix 6. The GodbillonVey research, and is suitable for a special since Maxwell provides a framework for class; Appendix 7. The Adler-Gelfand-Dickey topics course in graduate-level differential bracket and infinite-dimensional Poisson linking data structures, algorithms, and geometry; Bibliography; Index. geometry. computation to topological aspects of Cambridge Tracts in Mathematics 165 Contents and Contributors: three-dimensional electromagnetic 2004/262 pp. 1. Volumes on normed and Finsler spaces J. C. boundary value problems. This book Alverez Paiva and A. C. Thompson; 2. Anisotropic 83186-5/Hb/List: $85.00 and crystalline mean curvature flow Giovanni attempts to expose the link between Disc.: $68.00 Bellettini; 3. Finsler geometry on complex vector Maxwell and a modern approach to bundles Tadashi Aikou; 4. Finsler geometry of algorithms. holomorphic jet bundles Karen Chandler and Pit- Contents: Mann Wong; 5. Ricci and flag curvatures in Finsler 1. From vector calculus to algebraic topology; Knots and Links geometry David Bao and Colleen Robles; 6. 2. Quasistatic electromagnetic fields; 3. Duality Peter Cromwell Nonreversible Finsler metrics of positive flag theorems for manifolds with boundary; 4. The curvature Hans-Bert Rademacher; 7. Landsberg NA Software, UK finite element method and data structures; curvature, S-curvature and Riemann curvature 5. Computing eddy currents on thin conductors Knot theory is the study of embeddings Zhongmin Shen. with scalar potentials; 6. An algorithm to make of circles in space. Peter Cromwell has Mathematical Sciences Research Institute cuts for magnetic scalar potentials; 7. A paradigm written a textbook on knot theory Publications problem. designed for use in advanced 2004/376 pp. Mathematical Sciences Research Institute undergraduate or beginning graduate- 83181-4/Hb/List: $75.00 Publications 48 level courses. The exposition is detailed Disc.: $60.00 2004/288 pp. 80160-5/Hb/List: $75.00 and careful yet engaging and full of Disc.: $60.00 motivation. Numerous examples and Integral Geometry and exercises serve to help students through Geometric Probability Rational and Nearly the material, while an instructor’s manual Second Edition is available online. Luis Santaló Rational Varieties Contents: Universidad de Buenos Aires, Argentina János Kollár Preface; 1. Introduction; 2. A topologists toolkit; Contents: Princeton University, NJ 3. Link diagrams; 4. Constructions and Part I. Integral Geometry in the Plane: 1. Convex Karen E. Smith decompositions of links; 5. Spanning surfaces and sets in the plane; 2. Sets of points and Poisson University of Michigan, Ann Arbor genus; 6. Matrix invariants; 7. The Alexander- processes in the plane; 3. Sets of lines in the Alessio Corti Conway polynomial; 8. Rational tangles; plane; 4. Pairs of points and pairs of lines; University of Cambridge, UK 9. More polynomials; 10. Closed braids and arc 5. Sets of strips in the plane; 6. The group of Arising from a summer school course presentations; Appendix A. Knot diagrams; motions in the plane: kinematic density; Appendix B. Numerical invariants; Appendix C. 7. Fundamental formulas of Poincare and taught by János Kollár, this book develops Properties; Appendix D. Polynomials; Appendix E. Blaschke; 8. Lattices of figures; Part II. General the modern theory of rational varieties at Polygon coordinates; Appendix F. Family Integral Geometry: 9. Differential forms and Lie a level appropriate for graduate study. properties; Bibliography; Index. groups; 10. Density and measure in homogenous Kollár’s original course has been 2004/346 pp./100 line diagrams spaces; 11. The affine groups; 12. The group of developed, with his co-authors, into a 83947-5/Hb/List: $110.00 motions in En; Part III. Integral Geometry in En: Disc.: $88.00 13. Convex sets in En; 14. Linear subspaces, state-of-the-art treatment of the 54831-4/Pb/List: $50.00 convex sets and compact manifolds; 15. The classification of algebraic varieties. The Disc.: $40.00 kinematic density in En; 16. Geometric and authors have included numerous exercises statistical applications: stereology; Part IV. Integral with solutions, which help students reach Geometry in Spaces of Constant Curvature: 17. Noneuclidean integral geometry; 18. Crofton’s

13 www.cambridge.org/us/mathematics Geometry & Topology / Mathematical Physics the stage where they can begin to tackle Introduction to related contemporary research problems. Mathematical Contents: Foliations and Lie Introduction; 1. Examples of rational varieties; Groupoids Physics 2. Cubic surfaces; 3. Rational surfaces; 4. Nonrationality and reduction modulo p; Ieke Moerdijk 5. The Noether-Fano method; 6. Singularities Universiteit Utrecht, The Netherlands The Three-Body Problem of pairs; 7. Solutions to exercises. Janez Mrcun Mauri Valtonen Cambridge Studies in University of Ljubljana, Slovenia University of Turku, Finland Advanced Mathematics 92 “This book, though relatively short, is Hannu Karttunen 2004/242 pp. packed with interesting information. University of Turku 83207-1/Hb/List: $55.00 The student who would like a brief How do three celestial bodies move under Disc.: $44.00 but substantial introduction to their mutual gravitational attraction? foliation theory will find it rewarding, The Geometry of Total but should be prepared for some hard This problem has been studied by work. There are many exercises, often Isaac Newton and leading mathe- Curvature on Complete challenging, and these illuminate the maticians over the last two centuries. Open Surfaces ideas and sometimes incorporate Poincaré’s conclusion, that the problem Katsuhiro Shiohama significant steps of proofs.” represents an example of chaos in nature, Saga University, Japan —Bulletin of the American Mathematical Society opens the new possibility of using a Takashi Shioya Contents: statistical approach. For the first time Tohoku University, Sendai 1. Foliations; 2. Holonomy and stability; this book presents these methods in a Minoru Tanaka 3. Two classical theorems; 4. Molinos theory; systematic way, surveying statistical as 5. Lie groupoids; 6. Lie algebroids. Tokai University, Hiratsuka Cambridge Studies in well as more traditional methods. This This independent account of modern ideas Advanced Mathematics 91 book is suitable for students at advanced in differential geometry shows how they 2003/184 pp./30 line diagrams undergraduate and graduate level. can be used to understand and extend 83197-0/Hb/List: $55.00 Contents: classical results in integral geometry. The Disc.: $44.00 1. Astrophysics and three-body problem; authors explore the influence of total 2. Newtonian mechanics; 3. Two-body problem; 4. Hamiltonian mechanics; 5. The planar restricted curvature on the metric structure of Computational Algebraic circular three-body problem and other special complete, non-compact Riemannian 2- Geometry cases; 6. Three-body scattering; 7. Escape in the manifolds, although their work can be general three body problem; 8. Scattering and Hal Schenck capture in the general problem; 9. Perturbations extended to more general spaces. Each Texas A&M University, College Station chapter features open problems, making in hierarchical systems; 10. Perturbations in strong “Schenck’s book offers an interesting three-body encounters; 11. Some astrophysical the volume a suitable learning aid for path into this wonderful subject... problems. graduate students and non-specialists Any student who completes this 2006/c. 368 pp./85 figures/85 line diagrams/ who seek an introduction to this modern book will be excited about algebraic 96 exercises area of differential geometry. geometry and well-equipped for 85224-2/Hb/List: $80.00 Contents: further reading.” Disc.: $64.00 1. Riemannian geometry; 2. Classical results by —Bulletin of the American Mathematical Society Cohn-Vossen and Huber; 3. The ideal boundary; Contents: Poisson Geometry, 4. The cut loci of complete open surfaces; Preface; 1. Basics of commutative algebra; 5. Isoperimetric inequalities; 6. Mass of rays; 2. Projective space and graded objects; Deformation 7. Poles and cut loci of a surface of revolution; 3. Free resolutions and regular sequences; 8. Behaviour of geodesics. 4. Gröbner bases; 5. Combinatorics and topology; Quantisation and Group Cambridge Tracts in Mathematics 159 6. Functors: localization, hom, and tensor; Representations 7. Geometry of points; 8. Homological algebra, 2003/294 pp./45 line diagrams Editors 45054-3/Hb/List: $80.00 derived functors; 9. Curves, sheaves and Disc.: $64.00 cohomology; 10. Projective dimension; Simone Gutt A. Abstract algebra primer; B. Complex analysis Universite Libre de Bruxelles, Brussels, Belgium primer; Bibliography. John Rawmsley London Mathematical Society University of Warwick, UK Student Texts 58 Daniel Sternheimer 2003/208 pp. Universite de Borgogne, France 82964-X/Hb/List: $80.00 Poisson geometry lies at the cusp of Disc.: $64.00 noncommutative algebra and differential 53650-2/Pb/List: $29.99 Disc.: $23.99 geometry, with natural and important links to classical physics and quantum mechanics. This book presents an introduction to the subject from a small group of leading researchers, and the result is a volume accessible to graduate students or experts from other fields. Contents and Contributors: 1. Poisson geometry and Morita equivalence Henrique Bursztyn and Alan Weinstein; 2. Formality and star products Alberto S. Cattaneo 14 Call 1-800-872-7423 • Fax 845-353-4141 Mathematical Physics and D. Indelicato; 3. Lie groupoids, sheaves and Contents: Image processing; 5. Applications of the 2-D CWT cohomology I. Moerdijk and J. MrCun; Introduction; 1. Sets and structures; 2. Groups; II. Physical applications; 6. Matrix geometry of 4. Geometric methods in representation theory 3. Vector spaces; 4. Linear operators and matrices; wavelet analysis I; 7. Matrix geometry of wavelet Wilfried Schmid and Matvei Libine; 5. Inner product spaces; 6. Group representation analysis II; 8. Minimal uncertainty and Wigner 5. Deformation theory: a powerful tool in physics theory; 7. Algebras; 8. Tensors; 9. Exterior algebra; transformations; 9. Higher-dimensional wavelets; modelling Daniel Sternheimer. 10. Special relativity; 11. Topology; 12. Differential 10. Spatio-temporal wavelets and motion London Mathematical Society Lecture geometry; 13. Differential forms; 14. Integration estimation; 11. Beyond wavelets; Epilogue; Note Series 323 on manifolds; 15. Connections and curvature; Appendix 1; Bibliography; Index. 2005/370 pp. 16. Lie groups and Lie algebras; 17. Classical 2004/476 pp./19 halftones/137 figures/115 61505-4/Pb/List: $60.00 mechanics; 18. General relativity and cosmology; line diagrams/3 tables Disc.: $48.00 19. Fibre bundles and gauge theories; 20. Hilbert 62406-1/Hb/List: $130.00 space; 21. Quantum theory. Disc.: $104.00 Now in paperback… 2005/616 pp./30 line diagrams/160 exercises 82960-7/Hb/List: $70.00 String Theory Disc.: $56.00 Topological Solitons Joseph Polchinski Nicholas Manton University of California, Santa Barbara Quantum Gravity University of Cambridge, UK Contents: Paul Sutcliffe Carlo Rovelli University of Kent Volume I: 1. A first look at strings; 2. Conformal Centre de Physique Theorique, Marseille, France field theory; 3. The Polyakov path integral; 4. The This book introduces the main examples string spectrum; 5. The string S-matrix; 6. Tree Quantum gravity is one of the major of topological solitons in classical field level amplitudes; 7. One loop amplitudes; 8. “open” problems in theoretical physics, theories, discusses the forces between Toroidal compactification and T-duality; 9. Higher and the loop and spinfoam approach in solitons, and surveys in detail both static order amplitudes; Appendix A. A short course on this book is a major research area in the path integrals; References; Glossary; Index. and dynamic multi-soliton solutions. Kinks Volume 2: 10. Type I and type II superstrings; field. Emphasizing conceptual and in one dimension, lumps and vortices in 11. The heterototic string; 12. Superstring foundational issues raised by quantum two dimensions, monopoles and interactions; 13. D-branes; 14. Strings at strong gravity, especially on the nature of space Skyrmions in three dimensions, and coupling; 15. Advanced conformal field theory; and time, the text is intended for 16. Orbifolds; 17. Calabi-Yau compactification; instantons in four dimensions are all 18. Spacetime physics; 19. Advanced topics; researchers working in quantum gravity discussed. Appendix B. Spinors and SUSY in various and graduate students. Contents: dimensions; References; Glossary; Index. Contents: 1. Introduction; 2. Lagragians and fields; 3. Cambridge Monographs on Preface; Acknowledgements; Terminology and Topology in field theory; 4. Solitons: general Mathematical Physics notation; Part I. Relativistic Foundations: theory; 5. Kinks; 6. Lumps and rational maps; 7. 2005/976 pp./66 line diagrams/12 tables/ 1. General relativity; 2. General relativity; Vortices; 8. Monopoles; 9. Skyrmions; 10. 196 exercises 3. Relativistic mechanics; 4. Hamiltonian general Instantons; 11. Saddle points: Sphalerons relativity; 5. Quantum mechanics; Part II. Loop Cambridge Monographs on Volume 1: An Introduction to Quantum Gravity: 6. Quantum space; 7. Quantum Mathematical Physics spacetime: the Hamiltonian operator; 8. Matter; 2004/506 pp./76 line diagrams/7 tables the Bosonic String 9. Applications; 10. Quantum spacetime: 67227-9/Pb/List: $45.00 spinfoams; 11. Discussion; Part III. Appendices: 83836-3/Hb/List: $130.00 Disc.: $36.00 A. 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Peter Szekeres Pierre Vandergheynst an elegant, thoughtful, useful and University of Adelaide, Australia Swiss Federal Institute of Technology, Lausanne, altogether commendable timely Presenting an introduction to the Switzerland publication.” mathematics of modern physics for Syed Twareque Ali —Contemporary Physics Concordia University, Montréal, Quebec, Canada advanced undergraduate and graduate Contents: “This authoritative, beautiful book students, this textbook introduces the Preface; Notation and conventions; earns a place on any wavelets short 1. Fundamentals; 2. Geodesic congruences; reader to modern mathematical thinking list. Highly recommended.” 3. Hypersurfaces; 4. Langrangian and Hamiltonian within a physics context. The book also —CHOICE formulation of general relativity; 5. Black holes; includes exercises and proofed examples Contents: Bibliography to test the students’ understanding of the Prologue; 1. Warm-up: the 1-D continuous 2004/250 pp./39 line diagrams/3 tables/ various concepts, as well as to extend the wavelet transform; 2. The 2-D continuous wavelet 50 exercises text’s themes. transform; 3. Some 2-D wavelets and their 83091-5/Hb/List: $65.00 performances; 4. Applications of the 2-D CWT I. Disc.: $52.00 15 www.cambridge.org/us/mathematics Mathematical Physics / Analysis & Probability walks and critical phenomena; 10. Walks and the O(n) model: mean field theory and spin Analytic Methods in waves; 11. Scaling, fractals and renormalization; Tomography 12. More on the renormalization group A First Course in Andrew Markoe 2004/346 pp./2 halftones/102 line diagrams/ Rider University, Lawrenceville, NJ String Theory 2 tables/97 exercises This book is a comprehensive study of Barton Zwiebach 82891-0/Hb/List: $70.00 Massachusetts Institute of Technology, Cambridge Disc.: $56.00 the Radon transform, which operates “There is a great curiosity about on a function by integrating it over string theory, not only among physics hyperplanes. The book begins with an undergraduates but also among elementary and graphical introduction to professional scientists outside of the Analysis & the Radon transform, tomography and field. This audience needs a text that CT scanners, followed by a rigorous goes much further than the popular Probability development of the basic properties of accounts but without the full technical the Radon transform. Next the author detail of a graduate text. Zwiebach’s Complex Analysis with introduces Grassmann manifolds in the book meets this need in a clear and accessible manner. It is well-grounded Mathematica® study of the k-plane transform (a version in familiar physical concepts, and William Shaw of the Radon transform) which integrates proceeds through some of the most University of Oxford, UK over k-dimensional planes rather than timely and exciting aspects of the This volume exploits MATHEMATICA® hyperplanes. The remaining chapters are subject.” for its power to illustrate, calculate or concerned with more advanced topics. —Professor Joseph Polchinski, function as an investigative tool. Contents: University of California, Santa Barbara 1. Computerized tomograpy, X-rays, and the Radon The CD contains the entire manuscript in transform; 2. The Radon transform; 3. The k plane Contents: ® Part I. Basics: 1. A brief introduction; MATHEMATICA enabling readers to use transform, the Radon-John transform; 4. Range and 2. Special relativity and extra dimensions; or modify any of the code featured in the differential equations; 5. Generalizations and 3. Electromagnetism and gravitation; 4. Non- book. The book can be used as a textbook variants of the Radon transform relativistic strings; 5. The relativistic point particle; for several different courses in complex Encyclopedia of Mathematics and its Applications 106 6. Relativistic strings; 7. String parameterization analysis for mathematicians, physicists, and motion; 8. World-sheet currents; 9. Light-cone 2006/408 pp./14 halftones/59 line diagrams relativistic strings; 10. Light-cone fields and or engineers. 79347-5/Hb/List: $100.00 particles; 11. Relativistic quantum particles; Contents: Disc.: $80.00 12. Quantum open strings; 13. Quantum closed Part I. The Basics: 1. Why you need complex strings; Part II. Developments: 14. D-branes and numbers; 2. Basic complex algebra and geometry; gauge fields; 15. String charge and electric 3. Cubics, quartics, differential and difference The Lévy Laplacian charge; 16. String thermodynamics and black equations + a trip to the movies; Part II. M.N. Feller holes; 17. T-dualitiy of closed strings; 18. T-duality Experimental Mathematics: 4. A complex view UkrNIIMOD, Kiev, Ukraine of open strings; 19. Electromagnetic fields on D- of the real logistical map; 5. The Mandelbrot set; The Lévy Laplacian is an infinite- branes; 20. Nonlinear electrodynamics; 6. Newton-Raphson iteration and complex dimensional generalization of the well- 21. Covariant string quantization; 22. Interactions fractals; 7. Symmetric chaos in the complex plane; and Riemannian surfaces; 23. Loop amplitudes in Part III. Formal Complex Analysis: 8. Complex known classical Laplacian. The theory has string theory; Bibliography functions; 9. Sequences, series and power series; become well-developed in recent years 2004/578 pp./100 line diagrams/8 tables/ 10. Complex differentiation; 11. Paths and and this book is the first systematic 151 exercises complex integration; 12. Cauchy’s theorem; treatment of the Lévy-Laplace operator. 13. Cauchy’s integral formula and its remarkable 83143-1/Hb/List: $68.00 consequences; 14. Laurent series, zeroes, The book describes the infinite-dimensional Disc.: $54.40 singularities and residues; 15. The calculus of analogues of finite-dimensional results, residues: integration and summation; Part IV. and more especially those features which Elements of the Traditional Applications: 16. Conformal mapping I: appear only in the generalized context. It simple analytical mappings and Mobius Random Walk transforms; 17. Fourier transforms; 18. Laplace develops a theory of operators generated An Introduction for Advanced transforms; 19. Elementary applications to 2- by the Lévy Laplacian and the symmetrized Students and Researchers dimensional physics; Part 5. Advanced Lévy Laplacian, as well as a theory of linear Applications: 20. Numerical transform techniques; and nonlinear equations involving it. This Joseph Rudnick 21. Conformal mapping II: the Schwarz-Christoffel work will be valued by those working in University of California, Los Angeles transformation; 22. Tiling the Euclidean and George Gaspari hyperbolic planes; 23. Physics in 3D & 4D I: functional analysis, partial differential University of California, Santa Cruz spinors, Lorentz transformations and minimal equations and probability theory. “Excellent…I warmly recommend a surfaces; 24. Physics in 3D & 4D II: solving the Contents: most rewarding and challenging Laplace and wave equations. Introduction; 1. The Lévy Laplacian; 2. Lévy-Laplace textbook.” 2006/c. 500 pp./16 color plates/ operators; 3. Symmetric Lévy-Laplace operators; 4. Harmonic functions of infinitely many variables; —Contemporary Physics 50 halftones/100 line diagrams 5. Linear elliptic and parabolic equations with Contents: 83626-3/Hb/List: $70.00* Disc.: $56.00* Lévy Laplacians; 6. Quasilinear and nonlinear 1. Introduction to techniques; 2. Generating elliptic equation with Lévy Laplacians; 7. Nonlinear functions I; 3. Generating functions II: recurrence, parabolic equations with Lévy Laplacians; sites visited and the role of dimensionality; 8. Appendix. Lévy-Dirichlet forms and associated 4. Boundary conditions, steady state and the Markov processes; Bibliography; Index. electrostatic analogy; 5. Variations on the random Cambridge Tracts in Mathematics 166 walk; 6. The shape of a random walk; 7. Path 2005/160 pp. integrals and self-avoidance; 8. Properties of the random walk: introduction to scaling; 9. Scaling of 84622-6/Hb/List: $70.00 Disc.: $56.00 16 Call 1-800-872-7423 • Fax 845-353-4141 Analysis & Probability measures; 6. Measurable mappings; 7. Measurable functions; 8. Integration of positive functions; 9. Integrals of measurable functions Probability and Statistics and null sets; 10. Convergence theorems and An Introduction to their applications; 11. The function spaces; 12. by Example Product measures and Fubini’s theorem; 13. Partial Differential Volume 1, Basic Probability and Integrals with respect to image measures; 14. Integrals of images and Jacobi’s transformation Equations Statistics rule; 15. Uniform integrability and Vitali’s Yehuda Pinchover Yuri Suhov convergence theorem; 16. Martingales; 17. Technion-Israel Institute of Technology, Haifa University of Cambridge, UK Martingale convergence theorems; 18. The Radon- Jacob Rubinstein Michael Kelbert Nikodym theorem and other applications of Indiana University, Bloomington University of Wales martingales; 19. Inner product spaces; 20. Hilbert space; 21. Conditional expectations; 22. A complete introduction to partial Because probability and statistics are as Orthonormal systems and their convergence differential equations, this textbook much about intuition and problem solving behaviour; Appendix a: Lim inf and lim supp; provides a rigorous yet accessible guide as they are about theorem proving, Appendix b: Some facts from point-set topology; to students in mathematics, physics and students can find it very difficult to make Appendix c: The volume of a parallelepiped; engineering. The presentation is lively and a successful transition from lectures to Appendix d: Non-measurable sets; Appendix e: A summary of the Riemann integral; Further up to date, placing particular emphasis on examinations and practice. Since the reading; Bibliography; Notation index; Name developing an appreciation of underlying subject is critical in many modern and subject index. mathematical theory. A rich collection applications, Yuri Suhov and Michael 2006/394 pp./15 figures/5 graphs/ of worked examples and exercises Kelbert have rectified deficiencies in 15 line diagrams/500 exercises accompany the text, along with a large traditional lecture-based methods by 85015-0/Hb/List: $90.00 number of illustrations and graphs to combining a wealth of exercises for which Disc.: $72.00 provide insight into the numerical they have supplied complete solutions. 61525-9/Pb/List: $50.00 Disc.: $40.00 examples. These solutions are adapted to needs and Contents: skills of students and include basic 1. Introduction; 2. First-order equations; mathematical facts as needed. Functional Analysis for 3. Second-order linear equations; 4. The 1D wave Contents: Probability and equation; 5. Separation of variables; 6. Sturm- Introduction; Part A. Probability: A1. Discrete Liouville problem; 7. Elliptic equations; 8. Greens outcomes; A2. Continuous outcomes; A3. Index Stochastic Processes function and integral representation; 9. Equations of problems for Part A; Part B. Statistics: B1. Adam Bobrowski in high dimensions; 10. Variational methods; Parameter estimation; B2. Hypothesis testing; Lublin University of Technology, Poland 11. Numerical methods; 12. Solutions of odd- numbered problems. B3. Tripos exam questions in IB statistics (1992- Designed for students of probability and 2004); Tables of random variables and probability 2005/384 pp./35 figures/35 line diagrams/ distributions; Glossary. stochastic processes, as well as for 200 exercises 2005/372 pp./43 figures/43 line diagrams/ students of functional analysis, 84886-5/Hb/List: $120.00 2 tables specifically, this volume presents some Disc.: $96.00 84766-4/Hb/List: $110.00 chosen parts of functional analysis that 61323-X/Pb/List: $45.00 Disc.: $88.00 can help clarify probability and stochastic Disc.: $36.00 61233-0/Pb/List: $50.00 processes. Numerous standard and non- Disc.: $40.00 standard examples and exercises make Perturbation of the the book suitable as a course textbook or Boundary in Boundary- for self-study. Value Problems of Partial Measures, Integrals and Contents: 1. Preliminaries, notations, conventions; Differential Equations Martingales 2. Basic notations in functional analysis; D. Henry 3. Conditional expectation; 4. Brownian motion formerly Universidade de Sao Paulo, Brazil Rene L. Schilling and Hilbert spaces; 5. Dual spaces and This is a concise and elementary convergence of probability measures; Contents: introduction to contemporary measure 6. The Gelfand transform and its applications; Introduction; 1. Geometrical preliminaries; 2. Differential calculus of boundary perturbations; and integration theory as it is needed in 7. Semigroups of operators and Lévy processes; 8. Markov processes and semigroups of operators; 3. Examples using the implicit function theorem; many parts of analysis and probability 9. Appendixes; References; Index. 4. Bifurcation problems; 5. The transversality theory. Undergraduate calculus and an 2005/400 pp./250 exercises theorem; 6. Generic perturbation of the boundary; introductory course on rigorous analysis in 7. Boundary operators for second-order elliptic 83166-0/Hb/List: $95.00 equations; 8. The method of rapidly-oscillating R are the only essential prerequisites, Disc.: $76.00 solutions making the text suitable for both lecture 53937-4/Pb/List: $50.00 London Mathematical Society Lecture courses and for self-study. Numerous Disc.: $40.00 Note Series 318 illustrations and exercises are included to 2005/214 pp./13 line diagrams consolidate what has already been 57491-9/Pb/List: $60.00 learned and to discover variants and Disc.: $48.00 extensions to the main material. Hints and solutions will be available on the Internet. Contents: Prelude; Dependence chart; Prologue; 1. The pleasures of counting; 2. o-algebras; 3. Measures; 4. Uniqueness of measures; 5. Existence of

17 www.cambridge.org/us/mathematics Analysis and Probability Harmonic Measure Large Deviations and A Short Course on John B. Garnett Metastability Banach Space Theory University of California, Los Angeles Enzo Olivieri N.L. Carothers Donald E. Marshall Universita di Roma Tor Vergata, Rome Bowling Green State University, OH University of Washington, Seattle Maria Eulália Vares This short course on classical Banach During the past two decades several Centro Brasileiro de Pesquisas Fisicas, space theory is a natural follow-up to remarkable new results were discovered Rio de Janeiro a first course on functional analysis. about harmonic measure in the complex The book provides a general introduction The topics covered have proven useful plane. This volume offers a careful survey to the theory of large deviations and in many contemporary research arenas, of these results and an introduction to a wide overview of the metastable such as harmonic analysis, the theory of the branch of analysis that contains them. behaviour of stochastic dynamics. frames and wavelets, signal processing, Many of these results, due to Bishop, With only minimal prerequisites, the book economics, and physics. The book is Carleson, Jones, Makarov, Wolff, and covers all the main results and brings the intended for use in an advanced topics others, appear here in book form for the reader to the most recent developments. course or seminar, or for independent first time. This work is accessible to Written to be accessible to graduate study. students who have completed standard students, this book provides an excellent Contents: graduate courses in real and complex route into contemporary research. Preface; 1. Classical Banach spaces; analysis. Contents: 2. Preliminaries; 3. Bases in Banach spaces; Contents: Preface; 1. Large deviations: basic results; 4. Bases in Banach spaces II; 5. Bases in Banach 1. Jordan domains; 2. Finitely connected 2. Small random perturbations of dynamical spaces III; 6. Special properties of C0, l1, and l; domains; 3. Potential theory; 4. Extremal distance; systems: basic estimates of Freidlin and Wentzell; 7. Bases and duality; 8. Lp spaces; 9. Lp spaces II; 5. Applications and reverse inequalities; 6. Simply 3. Large deviations and statistical mechanics; 10. Lp spaces III; 11. Convexity; 12. C(K) Spaces; connected domains, part one; 7. Bloch functions 4. Metastability I: general description, the 13. Weak compactness in L1; 14. The Dunford- and quasicircles; 8. Simply connected domains, Curie-Weiss model and contact processes; Pettis property; 15. C(K) Spaces II; 16. C(K) Spaces part two; 9. Infinitely connected domains; 5. Metastability II: the models of Freidlin and III; A. Topology review. 10. Rectifiability and quadratic expressions; Wentzell; 6. Reversible Markov chains in the London Mathematical Society Appendices. Freidlin-Wentzell regime; 7. Metastable behaviour Student Texts New Mathematical Monographs 2 for lattice spin models at low temperature; 2004/196 pp. 2005/588 pp. Bibliography; Index. 84283-2/Hb/List: $80.00 47018-8/Hb/List: $110.00 Encyclopedia of Mathematics and Disc.: $64.00 its Applications 100 Disc.: $88.00 60372-2/Pb/List: $34.99 2005/528 pp./50 line diagrams Disc.: $27.99 59163-5/Hb/List: $150.00 Well-Posed Linear Disc.: $120.00 Systems Singular Points of Editor An Introduction to Plane Curves Olof Johan Staffans Nonlinear Analysis C.T.C. Wall Åbo Akademi, Finland University of Liverpool, UK Martin Schechter This is the first book dealing with well- University of California, Irvine The text covers all the essentials in a style that is detailed and expertly written by posed infinite-dimensional linear systems The techniques used to solve nonlinear one of the foremost researchers and with an input, a state, and an output in a problems differ greatly from those dealing teachers in the field. Ideal for either Hilbert or Banach space setting. It is also with linear features. Deriving all the course use or independent study, the the first to describe the class of non-well- necessary theorems and principles from volume guides students through the key posed systems induced by system nodes. first principles, this textbook gives upper concepts that will enable them to move This work will be indispensable to all undergraduates and graduate students a on to more detailed study or research working in systems theory, operator thorough understanding using as little within the field. theory, delay equations and partial background material as possible. Contents: differential equations. Contents: Contents: 1. Preliminaries; 2. Puiseux’ theorem; 1. Extrema; 2. Critical points; 3. Boundary value 3. Resolutions; 4. Contact of two branches; 1. Introduction and overview; 2. Basic properties problems; 4. Saddle points; 5. Calculus of 5. Topology of the singularity link; 6. The Milnor of well-posed linear systems; 3. Strongly variations; 6. Degree theory; 7. Conditional fibration; 7. Projective curves and their duals; continuous semigroups; 4. The generations of extrema; 8. Minimax methods; 9. Jumping 8. Combinatorics on a resolution tree; a well-posed linear system; 5. Compatible and nonlinearities; 10. Higher dimensions 9. Decomposition of the link complement and regular systems; 6. Anti-causal, dual and inverted Cambridge Studies in the Milnor fibration; 10. The monodromy and systems; 7. Feedback; 8. Stabilization and Advanced Mathematics 95 the Seifert form; 11. Ideals and clusters. detection; 9. Realizations; 10. Admissibility; 2005/376 pp. 11. Passive and conservative scattering systems; London Mathematical Society 84397-9/Hb/List: $80.00 Student Texts 63 12. Discrete time systems; 13. Appendix Disc.: $64.00 Encyclopedia of Mathematics and 2004/382 pp./24 line diagrams its Applications 103 83904-1/Hb/List: $95.00 2005/794 pp./80 figures Disc.: $76.00 82584-9/Hb/List: $150.00 54774-1/Pb/List: $50.00 Disc.: $120.00 Disc.: $40.00

18 Call 1-800-872-7423 • Fax 845-353-4141 Analysis and Probability The Direct Method in Multidimensional Soliton Theory Real Analysis Analysis Ryogo Hirota Volumes 1 & 2 An Introduction Waseda University, Tokyo, Japan J.J. Duistermaat Richard Beals Editors Universiteit Utrecht, The Netherlands Yale University, New Haven, CT Jon Nimmo J.A.C. Kolk This self-contained text, suitable for University of Glasgow, Scotland, UK Universiteit Utrecht ` advanced undergraduates, provides an Claire Gilson This two-volume set provides a sweeping extensive introduction to mathematical University of Glasgow account of analysis in multidimensional analysis from the fundamentals to more Translated by Euclidean space. The volumes are ideal advanced material. A large number of Atsushi Nagai preparation for students who wish to examples and 500 exercises allows the Osaka University, Japan continue on to more advanced study. reader to test understanding and provides The bilinear, or Hirota’s direct method, Numerous exercises illustrating a variety a window into further topics. was invented in the early 1970s as an of applications in mathematics and Contents: elementary means of constructing soliton physics are combined with exhaustive 1. Introduction; 2. The real and complex numbers; solutions that avoided the use of the coverage of the subject matter to make 3. Real and complex sequences; 4. Series;5. Power complex calculations of the inverse the books suitable as either the texts for series; 6. Metric spaces; 7. Continuous functions; scattering transform. This analysis is a course, or a source of problems for a 8. Calculus; 9. Some special functions; essentially concerned with the more seminar or for self-study. 10. Lebesgue measure on the line; 11. Lebesgue modern version of the method. Still integration on the line; 12. Function spaces; 13. Contents: maintaining the original philosophy of Volume 1: 1. Continuity; 2. Differentiation; Fourier series; 14. Applications of Fourier series; 3. Inverse function and implicit function theorems; 15. Ordinary differential equations; Appendix: the using relatively simple mathematics, the method has, nevertheless, been influenced 4. Manifolds; 5. Tangent spaces; Exercises. Banach-Tarski paradox; Hints for some exercises. Volume 2: 1. Integration; 2. Integration over 2004/272 pp. by the work of the Kyoto school, and will submanifolds; 3. Oriented integration; Exercises. 84072-4/Hb/List: $90.00 be essential for all working in soliton Cambridge Studies in Disc.: $72.00 theory. Advanced Mathematics Series 60047-2/Pb/List: $50.00 Contents: 2004/834 pp. Disc.: $40.00 Preface; Foreword; 1. Bilinearization of 82930-5/2 Vol. Hardback Set/List: $140.00 soliton equations; 2. Determinants and pfaffians; Disc.: $112.00 3. Structure of soliton equations; 4. Bäcklund transformations; Afterword; References; Index Volume 1: Differentiation Understanding Cambridge Tracts in Mathematics 155 2004/440 pp./50 line diagrams Probability 2004/212 pp./12 figures 55114-5/Hb/List: $75.00 83660-3/Hb/List: $70.00 Disc.: $60.00 Chance Rules in Everyday Life Disc.: $56.00 Henk Tijms Volume 2: Integration Vrije University, Amsterdam, The Netherlands Irresistible Integrals 2004/394 pp./50 line diagrams Mastering the concepts of probability can Symbolics, Analysis and Experiments 82925-9/Hb/List: $75.00 cast new light on situations in which in the Evaluation of Integrals Disc.: $60.00 randomness and chance appear to rule. George Boros With an emphasis on why probability works Xavier University of Louisiana, New Orleans and how it can be applied, Henk Tijms Victor H. Moll An Introduction to introduces the reader to the world of Tulane University, New Orleans probability in an informal way. Lotteries and “This book would be perfect in a basic Ordinary Differential casino games provide a natural source of elective course to hone calculus and Equations proof writing skills and as enrichment motivation, and he carefully discusses these James Robinson reading for talented calculus students. with many worked examples to illustrate University of Warwick, UK the key concepts from probability theory. Highly recommended.” – Choice This introduction to ordinary differential Contents: and difference equations is suitable not Part I. Probability in Action: 1. Probability Contents: questions; 2. The law of large numbers and 1. Introduction; 2. Factorials and binomial only for mathematicians but for scientists simulation; 3. Probabilities in everyday life; coefficients; 3. The method of partial fractions; and engineers as well. Exact solutions 4. Rare events and lotteries; 5. Probability and 4. A simple rational function; 5. A review of power methods and qualitative approaches are statistics; 6. Chance trees and Bayes’ rule; series; 6. The exponential and logarithm functions; covered, and many illustrative examples 7. The trigonometric functions and pi; 8. A quartic Part II: 7. Foundations of Probability Theory;8. are included. Matlab is used to generate Conditional probability and Bayes; 9. Basic rules integral; 9. The normal integral; 10. Euleras for discrete random variables; 10. Continuous constant; 11. Eulerian integrals: the Gamma and graphical representations of solutions. random variables; 11. Jointly distributed random Beta functions; 12. The Riemann zeta function; Numerous exercises are featured and variables; 12. Multivariate normal distribution; 13. 13. Logarithmic integrals; 14. A master formula; proved solutions are available for 15. Appendix: the revolutionary WZ method Conditional distributions; 14. 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19 www.cambridge.org/us/mathematics Analysis & Probability / Statistics & Finance Numerical methods and difference equations; applications; 14. Harmonic maps and Hodge arose and their subsequent influence. He Part V: Coupled linear equations; Part VI: Coupled Theory; Appendix A. Projective varieties and also identifies avenues for future research. nonlinear equations complex manifolds; Appendix B. Homology and Organized in two volumes and grouped 2004/414 pp./60 line diagrams/120 exercises cohomology; Appendix C. Vector bundles and by theme, the papers and commentaries 82650-0/Hb/List: $110.00 Chern classes Disc.: $88.00 Cambridge Studies in provide excellent coverage of many of the Advanced Mathematics 85 53391-0/Pb/List: $50.00 most significant advances in statistics in Disc.: $40.00 2003/446 pp./20 line diagrams recent times. 81466-9/Hb/List: $95.00 Contents: Introduction to Banach Disc.: $76.00 Foreword D. R. Cox; Preface; Part I. Design of Investigations: Design of experiments; Sampling. Algebras, Operators, and The Mountain Pass Part II. Statistical Methods: Point process data; Binary data; Survival data; Multivariate analysis; Harmonic Analysis Theorem Miscellaneous. Part III. Applications: Publications Garth Dales Variants, Generalizations and of Sir David Cox. University of Leeds, UK Some Applications Pietro Aiena Volume 1: Design of Investigations, Universitá di Palermo, Italy Youssef Jabri University of Mohamed I, Oujda, Morocco Statistical Methods and Applications Jörg Eschmeir 2006/c. 600 pp. Universität des Saarlandes, Saarbrücken, Germany Contents: 1. Retrospective; I. First Steps Toward the 84939-X/Hb/List: $180.00 Kjeld Laursen Mountains: 2. Palais-Smale condition. Disc.: $144.00 University of Copenhagen, Denmark definitions and examples; 3. Variational George Willis principle; 4. Deformation lemma; II. Reaching Volume 2: Foundations of Statistical University of Newcastle, Callaghan, Australia the Mountain Pass Through Easy Climbs: 5. The Inference, Theoretical Statistics, Time This volume enables readers with a basic finite dimensional MPT; 6. The topological MPT; Series and Stochastic Processes knowledge of functional analysis to 7. The classical MPT; 8. The multidimensional MPT; III. A Deeper Insight in Mountain Topology: 2006/c. 550 pp. access key research in the field. The 9. The limiting case in the MPT; 10. Palais-Smale 84940-3/Hb/List: $180.00 authors survey several areas of current condition versus asymptotic behavior; Disc.: $144.00 interest, making this volume ideal 11. Symmetry and the MPT; 12. The structure of preparatory reading for students the critical set in the MPT; 13. Weighted Palais- Volumes 1 and 2 Smale conditions; IV.The Landscape Becoming embarking on graduate work as well as 2006/c. 1150 pp. Less Smooth: 14. The semismooth MPT; 85816-X/2 Vol. Hardback Set/List: $320.00 for mathematicians working in related 15. The nonsmooth MPT; 16. The metric MPT; V. Disc.: $256.00 areas. Speculating about the Mountain Pass Geometry: Contents: 17. The MPT on convex domains; 18. A MPT in 1. Banach algebras; 2. Harmonic analysis and order intervals; 19. The linking principle; 20. The amenability; 3. Invariant subspaces; 4. Local intrinsic MPT; 21. Geometrically contrained MPT; spectral theory; 5. Single-valued extension VI. Technical Climbs: 22. Numerical MPT Essentials of property and Fredholm theory implementations; 23. Perturbation from symmetry Statistical Inference London Mathematical Society and the MPT; 24. Applying the MPT in bifurcation Student Texts 57 problems; 25. More climbs; A. Backgound material G.A. Young Imperial College of Science, Technology and 2003/336 pp. Encyclopedia of Mathematics and its Applications 95 Medicine, London, UK 82893-7/Hb/List: $95.00 R.L. Smith Disc.: $76.00 2003/382 pp./16 line diagrams University of North Carolina, Chapel Hill 53584-0/Pb/List: $45.00 82721-3/Hb/List: $110.00 Disc.: $88.00 Disc.: $36.00 This textbook presents the concepts and results underlying the Bayesian, Period Mappings and frequentist, and Fisherian approaches Statistics & Finance to statistical inference, with particular Period Domains emphasis on the contrasts between them. James Carlson Aimed at advanced undergraduates University of Utah, Salt Lake City Selected Statistical and graduate students in mathematics Stefan Müller-Stach Universitaet Mainz, Germany Papers of Sir David Cox and related disciplines, it covers basic Chris Peters Editors mathematical theory as well as more University of Grenoble, France D.J. Hand advanced material. Contents: Imperial College London, UK Contents: Part I. Basic Theory of the Period Map: 1. A. M. Herzberg Preface; Introduction; 1. Decision theory; 2. Bayesian methods; 3. Hypothesis testing; Introductory examples; 2. Cohomology of compact Queen’s University, Kingston, Ontario, Canada Kähler manifolds; 3. Holomorphic invariants and 4. Special models; 5. Sufficiency and cohomology; 4. Cohomology of manifolds varying Sir David Cox is one of the seminal completeness; 6. Two-sided tests and in a family; 5. Period maps looked at statistical thinkers of the twentieth and conditional inference; 7. Likelihood theory; infinitesimally; Part II. The Period Map: Algebraic twenty-first centuries. In this selection of 8. Higher-order theory; 9. Predictive inference; Methods: 6. Spectral sequences; 7. Koszul his work, Professor Cox reviews his most 10. Bootstrap methods; References; Index. Cambridge Series in Statistical and complexes and some applications; 8. Further influential and interesting papers applications: Torelli theorems for hypersurfaces; 9. Probabilistic Mathematics 16 Normal functions and its applications; 10. published before 1993. Each paper is the 2005/236 pp./27 figures/92 exercises Applications to algebraic cycles: Nori’s theorem; subject of a candid commentary written 83971-8/Hb/List: $60.00 Part III: Differential Geometric Methods: 11. especially for this collection. In these he Disc.: $48.00 Further differential geometric tools; 12. Structure describes the context in which the papers of period domains; 13. Curvature estimates and 20 Call 1-800-872-7423 • Fax 845-353-4141 Statistics and Finance Bayesian Logical Data Analysis for the Elements of Distribution Matrix Algebra Physical Sciences Theory Karim M. Abadir University of York, UK A Comparative Approach Thomas A. Severini with Mathematica Support Northwestern University, Evanston, IL Jan R. Magnus Tilburg University, The Netherlands Phil Gregory This detailed introduction uses no The first volume of the Econometric University of British Columbia, Vancouver, Canada measure theory, making it suitable for Exercises Series, Matrix Algebra contains Researchers in many branches of science research in statistics and econometrics. exercises relating to course material in are increasingly coming into contact Contents: with Bayesian statistics or Bayesian 1. Properties of probability distributions; 2. matrix algebra that students are expected Conditional distributions and expectation; 3. to know while enrolled in an (advanced) probability theory. This book provides Characteristic functions; 4. Moments and undergraduate or a postgraduate course a clear exposition of the underlying cumulants; 5. Parametric families of distributions; in econometrics or statistics. The book concepts with large numbers of worked 6. Stochastic processes; 7. 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Bayesian inference (Gaussian errors); 10. Linear Probabilistic Mathematics 17 as a supplementary text. model fitting (Gaussian errors); 11. Nonlinear 2005/528 pp./14 line diagrams/10 tables Econometric Exercises 1 model fitting; 12. Markov Chain Monte Carlo; 84472-X/Hb/List: $65.00 2005/488 pp./9 line diagrams 13. Bayesian spectral analysis; 14. Bayesian Disc.: $52.00 82289-0/Hb/List: $90.00 inference (Poisson sampling); Appendix A. Singular Disc.: $72.00 value decomposition; Appendix B. Discrete Fourier 53746-0/Pb/List: $39.99 Transform; Appendix C. Difference in two samples; Disc.: $31.99 Appendix D. Poisson ON/OFF details; Appendix E. Statistical Models Multivariate Gaussian from maximum entropy 2005/486 pp./4 halftones/132 figures/ Theory and Practice Branching Processes 128 line diagrams/74 exercises David A. Freedman Variation, Growth, and 84150-X/Hb/List: $75.00 University of California, Berkeley Extinction of Populations Disc.: $60.00 Explaining the things you need to know Editors in order to read empirical papers in the Patsy Haccou Insurance Risk and Ruin social and health sciences, as well as Rijksuniversiteit Leiden, The Netherlands David Dickson techniques needed to build personal Peter Jagers University of Melbourne, Australia statistical models, this user-friendly Chalmers University of Technology, Goteborg, Suitable for a first course in insurance Sweden volume includes background material on risk theory, this book focuses on the two study design, bivariate regression, and Vladimir A. Vatutin Steklov Institute of Mathematics, Moscow, Russia major areas of risk theory–aggregate matrix algebra. To develop technique, claims distributions and ruin theory. 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For the individual model, the three most theory. This book presents mathematical Contents: commonly applied techniques are 1. Observational studies and experiments; ideas for a biological audience and will discussed and illustrated. Care has been 2. The regression line; 3. Matrix algebra; also be appreciated by mathematicians. taken to make the book accessible to 4. Multiple regression; 5. Path models; Contents: 6. Maximum likelihood; 7. The bootstrap; Preface; Notations; 1. Generalities; 2. Discrete- readers who have a solid understanding 8. Simultaneous equations; References; time branching processes; 3. Branching in of the basic tools of probability theory. Answers to exercises; The computer labs; continuous time; 4. Large populations; 5. Numerous worked examples are included Appendix: Sample MATLAB code; Reprints; Index. Extinction; 6. 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21 www.cambridge.org/us/mathematics Statistics and Finance / Dynamical Systems ruin theory; 7. Classical ruin theory; 8. Advanced mathematical finance into probability Michael Boyle, Jack Wagoner, Alexander Blokh, ruin theory theory.” Chris Cleveland, Michal Misiurewicz, Jorg International Series on Actuarial Science —UK Nonlinear News Schmeling, B. Host, Bryna Kra, Jean-Paul Thourvenot 2005/242 pp./40 figures/50 line diagrams/95 Contents: exercises 1. Introduction; 2. Option valuation preliminaries; 2004/474 pp. 84640-4/Hb/List: $65.00 3. Random variables; 4. Computer simulation;5. 84073-2/Hb/List: $110.00 Disc.: $52.00 Asset price movement; 6. Asset price model: part I; Disc.: $88.00 7. Asset price model: part II; 8. Black-Scholes PDE and formulas; 9. More on hedging; 10. The Greeks; Topics from One- 11. More on the Black-Scholes formulas; 12. Risk Statistical Analysis of neutrality; 13. Solving a nonlinear equation; 14. Dimensional Dynamics Implied volatility; 15. The Monte Carlo method; Karen M. Brucks Stochastic Processes in 16. The binomial method; 17. Cash-or-nothing University of Wisconsin, Milwaukee options; 18. American options; 19. Exotic options; Time 20. Historical volatility; 21. Monte Carlo part II: Henk Bruin University of Surrey, UK J.K. Lindsey variance reduction by antithetic variates; 22. University of Liège, Belgium Monte Carlo part III: variance reduction by control One-dimensional dynamics has generated This introduction to ways of modelling a variates; 23. Finite difference methods; 24. Finite many results, and avenues of active difference methods for the Black-Scholes PDE. mathematical research with numerous wide variety of phenomena that occur 2004/296 pp./95 figures/120 exercises over time is accessible to anyone with a inroads to this research remain to be 83884-3/Hb/List: $95.00 pursued by the advanced undergraduate basic knowledge of statistical ideas. Disc.: $76.00 or beginning graduate student. While J.K. 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Beta- transformations and maps; 13. Homeomorphic Preface; Part I. Basic Principles: 1. What is a Michael Brin restrictions; 14. Complex quadratic dynamics stochastic process?; 2. Normal theory models and University of Maryland, College Park extensions; Part II. Categorical State Space: London Mathematical Society Boris Hasselblatt Student Texts 62 3. Survival processes; 4. Recurrent events; Tufts University, Medford, MA 2004/312 pp. 5. Discrete-time Markov chains; 6. Event histories; Yakov Pesin 7. Dynamics modules; 8. More complex 83896-7/Hb/List: $95.00 Pennsylvania State University, State College dependencies; Part III. Continuous State Space: Disc.: $76.00 9. Time series; 10. Growth curves; 11. Dynamic Presenting a wide cross-section of current 54766-0/Pb/List: $45.00 models; 12. Repeated measurements; research in the theory of dynamical Disc.: $36.00 Bibliography; Author index; Subject index systems, this collection consists of articles Cambridge Series in Statistical and Probabilistic Mathematics 14 by leading researchers (and several Fields 2004/352 pp./40 figures/20 graphs/ medallists) in a variety of specialties. A First Course in 10 tables/35 exercises Surveys featuring new results, as well as 83741-3/Hb/List: $75.00 research papers, are included because of Dynamics Disc.: $60.00 their potentially high impact. Major areas With a Panorama of covered include hyperbolic dynamics, Recent Developments elliptic dynamics, mechanics, geometry, Boris Hasselblatt An Introduction to ergodic theory, group actions, rigidity, Tufts University, Medford, MA and applications. 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Linear maps Dmitry Dolgopyat, Steven Hurder, Michael and linear differential equations; Part II. text. It will be useful to students from Jakobson, Oliver Jenkinson, Mark Pollicott, Rafael a wide range of backgrounds and an Complicated Behavior in Dynamical Systems: de la Llave, Yuri Kifer, Sheldon Newhouse, 4. Quasiperiodicity and uniform distribution on essential complement to the standard Domokos Szasz, Tamas Varju, Jean-Christophe the circle; 5. Quasiperiodicity and uniform undergraduate course which embeds Yoccoz, Melanie Bertelson, Michael Gromov, Mark distribution in higher dimension; 6. Conservative Levi, Gregory Margulis, John Mather, Serge systems; 7. Simple systems with complicated orbit Tabachnikov, Christina Bonatti, John Franks, structure; 8. Entropy and chaos; 9. Simple 22 Call 1-800-872-7423 • Fax 845-353-4141 Dynamical Systems / Fluid Dynamics & Solid Mechanics dynamics as a tool; Part 3. Panorama of Dynamical Systems: 10. Hyperbolic dynamics; Mathematical Modeling 11. Quadratic maps; 12. Homoclinic tangles; in Continuum Mechanics 13. Strange attractors; 14. Diophantine Dynamics of Particles approximation and applications of dynamics to Second Edition number theory; 15. Variational methods, twist and Rigid Bodies Roger M. Temam maps, and closed geodesics; Appendix; Solutions A Systematic Approach Indiana University, Bloomington Alain Michael Miranville 2003/436 pp./140 line diagrams Anil Rao Université de Poitiers, France 58304-7/Hb/List: $100.00 Boston University, MA Disc.: $80.00 This volume is ideal for undergraduates This second edition will be a unique 58750-6/Pb/List: $39.99 resource for those studying continuum Disc.: $31.99 who want a systematic and rigorous approach to the subject of particle and mechanics at the advanced undergraduate rigid body dynamics. Rao’s presentation and beginning graduate level whether in of concepts illuminates the connection engineering, mathematics, physics or the Fluid Dynamics & between the theory and its application, applied sciences. a connection that is further enhanced Contents: Solid Mechanics Introduction; A few words about notations; through his step-by-step vector mechanics Part I. Fundamental Concepts in Continuum approach to solving problems. Mechanics: 1. Describing the motion of a system: Lagrangian Fluid Contents: geometry and kinematics; 2. The fundamental law 1. Introductory concepts; 2. Kinematics; 3. Kinetics of dynamics; 3. The Cauchy stress tensor- Dynamics of particles; 4. Kinetics of systems of particles; applications; 4. Real and virtual powers; Andrew Bennett 5. Mass properties and kinetics of rigid bodies; 5. Deformation tensor, deformation rate tensor, Oregon State University, Corvallis A. Principal-axis moments of inertia of constitutive laws; 6. Energy equations and shock Starting from the foundations of homogeneous bodies; B. Brief table of identities, equations; Part II. Physics of Fluids: 7. General derivatives, and integrals; C. Answers to selected properties of Newtonian fluids; 8. Flows of inviscid elementary kinematics and assuming problems; Bibliography. fluids;9. Viscous fluids and thermohydraulics; some familiarity of Eularian fluid 2005/536 pp./11 tables 10. Magnetohydrodynamics and inertial confinement of plasmas; 11. Combustion; dynamics, this book reviews the classical 85811-9/Hb/List: $85.00 and new exact solutions of the 12. Equations of the atmosphere and of the ocean; Disc.: $68.00 Part III. Solid Mechanics: 13. The general equations Lagrangian framework, and then of linear elasticity; 14. Classical problems of addresses the general solvability of the Prediction of elastostatics; 15. Energy theorems—duality: resulting general equations of motion. variational formulations; 16. Introduction to Written at graduate level, the book Turbulent Flows nonlinear constitutive laws and to homogenization; provides the first detailed and Editors 17. Nonlinear elasticity and an application to Geoff Hewitt biomechanics; Part IV. Introduction to Wave comprehensive analytical development of Phenomena: 18. Linear wave equations in University of London, UK the Lagrangian formulation of fluid mechanics; 19. The soliton equation: the Kortewed- Christos Vassilicos de Vries equation; 20. The nonlinear Schrödinger dynamics, of interest not only to applied University of London mathematicians but also oceanographers, equation; Appendix; Hints for the exercises; The prediction of turbulent flows is References; Index. meteorologists, mechanical engineers, of paramount importance in the 2005/354 pp./40 figures/55 exercises astrophysicists and indeed all development of complex engineering 61723-5/Pb/List: $55.00 investigators of the dynamics of fluids. systems involving flow, heat and mass Disc.: $44.00 Contents: Part I. The Lagrangian Formulation: 1. Lagrangian transfer, and chemical reactions. kinematics; 2. Lagrangian statistics; 3. Lagrangian Utilizing modern computational fluid dynamics; 4. Coordinates; 5. Real fluids; Part II. dynamics techniques, this book reviews Lagrangian Flows: 6. Some analytical Lagrangian current approximation methods and solutions; 7. Waves, instabilities and vortices; their applicability to various industrial 8. Viscous incompressible flow; 9. General solvability; Part III. Diffusion: 10. Absolute problems. dispersion; 11. Relative dispersion; 12. Convective Contents and Contributors: subranges, scalar variance spectrum; 13. Diffusion; 1. Introduction G. F. Hewitt; 2. Turbulent flows: Part IV. Lagrangian Data: 14. Observing systems; their structure and behaviour J. C. R. Hunt, 15. Data analysis: the single particle; 16. Data N. D. Sandham, J. C. Vassilicos, B. E. Launder, analysis: particle clusters; References. P.A. Monkewitz and G. F. Hewitt; 3. The modelling Cambridge Monographs on Mechanics of turbulent flows affected by buoyancy and 2006/c. 350 pp./20 figures/20 line diagrams stratification B. E. Launder; 4. Turbulent flames W. P. Jones; 5. Boundary layers under strong 85310-9/Hb/List: $95.00 distortion J. F. Morrison; 6. Direct and large eddy Disc.: $76.00 simulation N. D. Sandham; 7. Multiphase flows G. F. Hewitt; 8. Guidelines and criteria for the use of turbulence models in complex flows J. C. R. Hunt and A. M. Savill. 2005/350 pp./60 halftones/60 figures 83899-1/Hb/List: $175.00 Disc.: $140.00

23 www.cambridge.org/us/mathematics Fluid Dynamics & Solid Mechanics Plasticity A Gallery A Treatise on Finite Deformation of of Fluid Motion Heterogeneous Inelastic Materials Multimedia Fluid M. Samimy Sia Nemat-Nasser Mechanics Ohio State University, Columbus University of California, San Diego K. Breuer Providing a basic foundation for advanced Multilingual Version CD-ROM Brown University, Providence, RI graduate study and research in the Second Edition G. Leal mechanics of solids, this treatise develops G.M. Homsy University of California, Santa Barbara University of California, Santa Barbara systematically the fundamentals of finite P. Steen K.S. Breuer Cornell University, Ithaca, NY inelastic deformations of heterogeneous Brown University, Providence, RI “A Gallery of Fluid Motion and materials. The book combines the S. Hochgreb the accompanying web page are mathematical precision of solid mechanics Sandia National Laboratories, Livermore, CA useful sources of materials for with the physics-based micro-structural J.R. Koseff undergraduate and graduate courses knowledge of materials science. Stanford University, CA in fluid mechanics. [It] succeeds Contents: B.R. Munson both in conveying the beauty of 1. Geometry; 2. Kinematics; 3. Stress a Iowa State University, Ames fluid flow and as a reference for d stress-rate measures and balance relations; K.G. Powell courses in fluid mechanics.” 4. Continuum theories of elastoplasticity; University of Michigan, Ann Arbor —American Journal of Physics 5. Integration of continuum constitutive “Homsy and his colleagues have now Contents: equations; 6. Finite plastic flow of single crystals; provided us with a new and powerful 7. Finite plastic deformation of granular materials; 1. Jets and mixing layers; 2. Vortices; 8. 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Laboratoire des Ecoulements, Grenoble, France It features experiments that demonstrate Theory and Olivier Métais fluid mechanical phenomena, animations Computation in Laboratoire des Ecoulements of important principles and concepts, Pierre Comte Hydrodynamic Stability Laboratoire des Ecoulements virtual laboratories in which students W.O. Criminale Foreword by James J. Riley acquire data from the images, interactive University of Washington, Seattle University of Washington, Seattle computational exercises in which T.L. Jackson This volume is an ideal introduction and parameters can be varied, and other University of Illinois, Urbana-Champaign reference to LES, direct numerical simulation descriptive and illuminating material on R.D. Joslin Office of Naval Research, Arlington, VA and Reynolds-averaged Navier-Stokes applications. The material may be Contents: simulation. The text features a detailed accessed randomly through a hyperlinked text, a search engine, a video library, and 1. 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The volume is any numerical problem is to take an Numerical Methods in Engineering with directed to undergraduate and graduate intuitive idea about the problem in MATLAB® is a text for engineering students. question and to translate it into precise students as well as a reference for Contents: mathematical language. This book practicing engineers, especially those who Part I. Modelling Techniques: 1. The basics of provides step-by-step descriptions of how wish to explore the power and efficiency modelling; 2. Units, dimensions and dimensional to formulate numerical problems so that of MATLAB®. The choice of numerical analysis; 3. Non-dimensionalisation; 4. Case studies: hair modelling and cable laying; they can be solved by existing software. It methods was based on their relevance to examines various types of numerical 5. Case study: the thermistor (1); 6. Case study: engineering problems. Each method is electrostatic painting (1); Part II. Mathematical problems and develops techniques for discussed thoroughly and illustrated with Techniques: 7. Partial differential equations; solving them. A number of engineering problems involving both hand 8. Case study: traffic modelling; 9. Distributions; 10. Theory of distributions; 11. Case study: the case studies are used to illustrate in detail computation and programming. the formulation process. The case studies pantograph; Part III. Asymptotic techniques: 12. MATLAB® files accompany each method Asymptotic expansions; 13. Regular perturbation motivate the development of efficient and are available on the book web site. expansions; 14. Case study: electrostatic painting algorithms that involve, in some cases, 25 www.cambridge.org/us/mathematics Applied & Numerical Math (2); 15. Case study: piano tuning; 16. Boundary Scattered Data analysis, variational calculus, and the layers; 17. Case study: the thermistor (2); 18. asymptotic evaluation of integrals. 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Epilogue, Partial Differential Cambridge Monographs on Applied and on power and knowledge; References Equations Computational Mathematics 18 2004/522 pp./6 halftones/126 line diagrams/ 2004/346 pp./50 figures An Introduction 6 tables 84335-9/Hb/List: $90.00 83492-9/Hb/List: $65.00 Second Edition Disc.: $72.00 Disc.: $52.00 Bill Morton University of Oxford, UK Collocation Methods Inside Out David Mayers University of Oxford for Volterra Integral and Inverse Problems and Applications “...a classic piece of work with which Related Functional Editor every applied mathematician and Gunther Uhlmann engineer should become familiar.” Equations University of Washington, Seattle —Applied Mechanics Reviews H. 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Properties of geometric integrators; approach to the material, with 127 Bibliography; Index references.” Cambridge Monographs on Applied and —CHOICE Computational Mathematics 14 2005/396 pp./30 halftones/80 line diagrams In contrast to traditional textbooks for 77290-7/Hb/List: $75.00 students and professionals in the physical Disc.: $60.00 sciences, this book presents its material in the form of problems. The second edition contains new chapters on dimensional 26 Call 1-800-872-7423 • Fax 845-353-4141 Applied & Numerical Math / Computation Statistical properties of word occurrences; Computation 5. Words with unexpected frequencies; 6. Words with unexpected locations. Mathematical Models in 2005/160 pp./7 halftones/28 figures/ Cryptography and 21 line diagrams/14 tables Biology 84729-X/Hb/List: $55.00 An Introduction Complexity Disc.: $44.00 Elizabeth S. Allman An Introduction University of Southern Maine, Portland John Talbot John A. Rhodes University College London, UK Bates College, Lewiston, ME Dominic Welsh Probability and “The exercises throughout this book University of Oxford Computing are excellent. Mathematical Models Cryptography plays a crucial role in many in Biology: An Introduction presents aspects of today’s world, from internet Randomized Algorithms and nontrivial and current topics in banking and e-commerce to e-mail and Probabilistic Analysis mathematical biology for first- and web-based business processes. Michael Mitzenmacher second-year undergraduate majors in Understanding the principles on which it Harvard University, Cambridge, MA mathematics or biology. With its brisk Eli Upfal is based is important and requires a writing style, clear handling of the Brown University, Providence, RI mathematics and the biology, and knowledge of both computational “This text presents a clear exposition thorough exercises, this text is complexity and a range of topics in pure of the tools of probabilistic analysis positioned to meet the needs of mathematics. This book provides that from the very basics to more advanced mathematics students interested in knowledge, combining an informal style topics. In addition, each chapter offers biology as well as biology students with strong proofs of the key results to a well-chosen set of problems for a who need to see the serious role of provide an accessible introduction. range of abilities. This book is suitable mathematics in their chosen area of Contents: for upper division undergraduates and study.” 1. Basics of cryptography; 2. Complexity theory; 3. first year graduate students in —Mathematics and Computer Education Non-deterministic computation; 4. Probabilistic computer science and related “Highly recommended.” computation; 5. Symmetric cryptosystems; 6. One- disciplines. It will also be useful as a —CHOICE way functions; 7. Public key cryptography; 8. reference for researchers who would Digital signatures; 9. Key establishment protocols; Contents: like to incorporate these tools into 10. Secure encryption; 11. Identification schemes; their work. I enjoyed teaching from 1. Dynamic modeling with difference equations; Appendix 1; Appendix 2; Appendix 3; Appendix 4; 2. Linear models of structured populations; Appendix 5; Appendix 6; Bibliography; Index. the book and highly recommend it.” 3. Non-linear models of interactions; 4. Modeling 2006/340 pp./172 exercises —Valerie King, University of Victoria molecular evolution; 5. Constructing phylogenetic Contents: trees; 6. Genetics; 7. Infectious disease modeling; 85231-5/Hb/List: $95.00 Disc.: $76.00 Preface; 1. Events and probability; 2. Discrete Curve fitting and biological modeling; Appendix A. random variables and expectation; 3. Moments Basic analysis of numerical data; Appendix B. For 61771-5/Pb/List: $50.00 and deviations; 4. Chernoff bounds; 5. Balls, further reading Disc.: $40.00 bins and random graphs; 6. The probabilistic 2003/384 pp./65 line diagrams/40 tables method; 7. Markov chains and random walks; 81980-6/Hb/List: $95.00 DNA, Words and Models 8. Continuous distributions and the Poisson Disc.: $76.00 Statistics of Exceptional Words process; 9. Entropy, randomness, and information; 52586-1/Pb/List: $45.00 10. The Monte Carlo method; 11. Coupling of Disc.: $36.00 Editors Markov chains; 12. Martingales; 13. Pairwise Stephane Robin independence and universal hash functions; INA-PG, Paris, France 14. Balanced allocations; References. Sophie Schbath 2005/368 pp./50 line diagrams INRA, Jouy-en-Josas, France 83540-2/Hb/List: $55.00 Francois Rodolphe Disc.: $44.00 INRA, Jouy-en-josas This book introduces mathematical An Introduction and statistical concepts used for pattern to Programming analysis in computational biology. A detailed description of the principal with Mathematica models used in sequence analysis is Third Edition followed by an introduction to several Paul Wellin statistical methods used for finding Wolfram Research Inc., Champaign, IL exceptional words with respect to the Richard Gaylord model used. The second half of the book University of Illinois, Urbana-Champaign Sam Kamin is illustrated with numerous examples University of Illinois provided by the analysis of bacterial Since the last edition of this book was genomes. This is a practical guide in published, significant changes have facing actual situations and making occurred in Mathematica and its use appropriate procedure choices. worldwide. Keeping pace with these Contents: Introduction; 1. Simple models for biological changes, this substantially larger, updated sequences; 2. Introduction to Markov chain version includes new and completely models; 3. Taking heterogeneities into account; 4. revised chapters on numerics, procedural, 27 www.cambridge.org/us/mathematics Computation / History & Philosophy of Mathematics rule-based and front-end programming, Cryptography is concerned with the Symmetry and Its and includes significant coverage on the conceptualization, definition, and latest features and functions. Mathematica construction of computing systems that Discontents notebooks, available from Cambridge address security concerns. The design of Essays on the History of University Press’s website, contain cryptographic systems must be based on Inductive Probability examples, programs, and solutions to most firm foundations. Building on the basic S.L. Zabell of the exercises in the book. In addition, tools presented in the first volume, this Northwestern University, Evanston, IL material to supplement later versions of second volume of Foundations of This volume brings together a collection the software will be made available. Cryptography contains a rigorous of essays on the history and philosophy Contents: and systematic treatment of three basic of probability and statistics by an eminent 1. An introduction to Mathematica;2. The applications: Encryption, Signatures, scholar in these subjects. Written over Mathematica language; 3. Lists; 4. Functional and General Cryptographic Protocols. the last fifteen years, they fall into three programming; 5. Procedural programming; 6. Rule-based programming; 7. Recursion; It is suitable for use in a graduate course broad categories. The first deals with the 8. Numerics; 9. Graphics programming; 10. Front- on cryptography and as a reference book use of symmetry arguments in inductive end programming; 11. 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The rule of succession; Written by a computer scientist for 2004/448 pp./13 line diagrams 3. Buffon, Price, and Laplace: scientific attribution computer scientists, this book teaches 83084-2/Hb/List: $80.00 in the eighteenth century; 4. W. E. Johnson’s topology from a computational point of Disc.: $64.00 sufficientness postulate. Part II. Personalities: Also available: 5 Abraham De Moivre and the birth of the Central view, and shows how to solve real Volume I: Basic Tools Limit Theorem; 6 Ramsey, truth, and probability; problems that have topological aspects 79172-3/ Hb/List: $80.00 7. R. A. Fisher on the history of inverse involving computers. Such problems arise Disc.: $64.00 probability; 8. R. A. Fisher and the fiducial in many areas, such as computer graphics, argument; 9. Alan Turing and the Central Limit robotics, structural biology, and chemistry. Theorem; Part III. Prediction: 10. Predicting the unpredictable; 11. The continuum of inductive The author starts from the basics of History & methods revised. topology, assuming no prior exposure to Cambridge Studies in Probability, the subject, and moves rapidly up to Philosophy of Induction and Decision Theory recent advances in the area, including 2005/288 pp. topological persistence and hierarchical Mathematics 44470-5/Hb/List: $70.00 Morse complexes. Algorithms and data Disc.: $56.00 structures are presented when 44912-X/Pb/List: $24.99 Huygens Disc.: $19.99 appropriate. The Man Behind the Principle Contents: 1. Introduction; Part I. Mathematics: 2. Spaces C.D. Andriesse Phenomenology, Logic, Universiteit Utrecht, The Netherlands and filtrations; 3. Group theory; 4. Homology; and the Philosophy of 5. Morse theory; 6. New results; Part II. This biography of Christiaan Huygens Algorithms: 7. The persistence algorithms; (1629-1695) describes in detail how he Mathematics 8. Topological simplification; 9. The Morse-Smale arrived at discoveries and inventions often Richard Tieszen algorithm; 10. The linking number algorithm; San Jose State University, CA Part III. Applications: 11. Software; 12. wrongly ascribed to Newton. The great Experiments; 13. Applications. seventeenth-century Dutch mathematician Contents: Part I. Reason, Science, and Mathematics: Cambridge Monographs on Applied and and physicist played a key role in the Computational Mathematics 1. Science as a triumph of the human spirit and ‘scientific revolution’; the Huygens science in crisis: Husserl and the Fortunes of 2005/258 pp./2 color plates/118 line diagrams Principle on the wave theory of light, Reason; 2. Mathematics and transcendental 83666-2/Hb/List: $60.00 the discovery of Saturn’s rings, and the phenomenology; Part II. Kurt Godel, Disc.: $48.00 invention of the pendulum clock are Phenomenology and the Philosophy of Mathematics: 3. Kurt Godel and phenomenology; among his greatest achievements. Foundations of 4. Godel’s philosophical remarks on mathematics Contents: and logic; 5. Godel’s path from the Cryptography Preface; A commemoration; 1. Titan;2. Father;3. incompleteness theorems (1931) to Volume II: Basic Applications Mother; 4. Family portrait; 5. Student;6. Collisions; Phenomenology (1961); 6. Godel and the 7. Saturn; 8. Force; 9. Temperament; 10. Weight; intuition of concepts; 7. Godel and Quine on Oded Goldreich 11. Crisis; 12. Light; 13. Dismissal;14. Orphan; 15. meaning and mathematics; 8. Maddy on realism Weizmann Institute of Science, Rehovot, Israel Heaven; References; Bibliography; Further reading. in mathematics; 9. Penrose and the view that “...highly recommended.” 2005/480 pp./8 halftones/6 line diagrams minds are not machines. Part III. Constructivism, —Cryptologia 85090-8/Hb/List: $95.00 Fulfilled Intentions, and Origins: 10. Intuitionism, Disc.: $76.00 meaning theory and cognition; 11. The philosophical background of Weyl’s mathematical 28 Call 1-800-872-7423 • Fax 845-353-4141 History & Philosophy of Mathematics / General Interest constructivism; 12. What is a proof?;13. well-illustrated, well-researched and The Transformation of Phenomenology and mathematical knowledge; interesting story.” 14. Logicism, impredicativity, formalism; 15. The —The Leading Edge Mathematics in the Early philosophy of arithmetic: Frege and Husserl. Contents: Mediterranean World 2005/368 pp./11 line diagrams 1. Introduction; 2. Founding fathers; 3. Highlights 83782-0/Hb/List: $70.00 of classical physics; Part I. The Triumphs of Modern From Problems to Equations Disc.: $56.00 Physics (1901-1950): 4. New foundations; Reviel Netz 5. The quantum atom; 6. The golden years Stanford University, CA Alfred Tarski 7. The thirties; 8. The nuclear age; Part II. New “For the true mathematics historian, Frontiers (1951-2003): 9. Wave of inventions; Life and Logic this is a fascinating exploration, 10. New vistas on the cosmos; 11. The small, the perhaps different from one’s previous Anita Burdman Feferman large - the complex; 12. Big physics - small physics; ideas of this time period. Highly Solomon Feferman recommended.” Stanford University, CA 13. New trends. —M.D. Sanford, Felician College “His was a fascinating life, and the 2004/546 pp./173 halftones/52 line diagrams/ new biography Alfred Tarski: Life and 3 tables The transformation of mathematics Logic covers it all. The authors are 83247-0/Hb/List: $110.00 from its ancient Greek practice to its exceptionally well qualified to tell Disc.: $88.00 development in the medieval Arab- his story...[they] were personally 54008-9/Pb/List: $43.99 speaking world is approached by focusing acquainted with many of the people Disc.: $35.19 on a single problem proposed by they write about here, and they have Archimedes and the many solutions obtained some remarkably intimate From Eudoxus to offered. From a practice of mathematics information. The book is beautifully Einstein based on the localized solution written and a pleasure to read on a (originating in the polemical practices of number of levels.” A History of —American Scientist Mathematical Astronomy early Greek science), we see a transition to a practice of mathematics based on “Reading Tarski’s journals and Christopher Linton publications, mining many archives, Loughborough University, UK the systematic approach (grounded in the interviewing dozens and dozens of “An excellent survey of the history of deuteronomic practices of Late Antiquity people, and traveling to Poland to this field. Highly recommended.” and the Middle Ages). A radically new visit original sites, the Fefermans have —D.E. Hogg, National Radio Astronomy interpretation is accordingly offered of the put together a story that is detailed, Observatory, CHOICE historical trajectory of pre-modern personal, and one that has painted a Since humans first looked towards the mathematics. splendid portrait...of an extraordinary heavens, they have attempted to predict Contents: individual.” and explain the motions of the sun, Introduction; 1. The problem in the world of —SIAM News Archimedes; 2. From Archimedes to Eutocius; moon, and planets. This book describes 3. From Archimedes to Khayyam; Conclusion. Contents: the theories of planetary motion that 1. The two Tarskis; 2. Independence and Cambridge Classical Studies university; Interlude I. The Banach-Tarski paradox, have been developed through the ages, 2004/208 pp./20 figures set theory and the axiom of choice; 3. Polot! The from the homocentric spheres of Eudoxus 82996-8/Hb/List: $80.00 Polish attribute; Interlude II. 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The sum of all things the consequences. 2003/264 pp./35 line diagrams/29 tables Contributors: 83259-4/Hb/List: $80.00 Susan Chipman, Paula Caplan, Jeremy Caplan, Disc.: $64.00 Diane Halpern, Jonathan Wai, Amanda Saw, 54023-2/Pb/List: $28.99 James Byrnes, James M. Royer, Laura M. Garofoli, Disc.: $23.19 M. Beth Casey, Ronald Nuttal, Elizabeth Pezaris, Rob Ibarra, Paul Davies, Steve Spencer, Talia Ben 30 Call 1-800-872-7423 • Fax 845-353-4141 General Interest / Numerical Recipes WINNER OF CHOICE Numerical Recipes in Numerical Recipes OUTSTANDING ACADEMIC TITLES, 2005 C++ Example Book [C++] Mathematical Constants The Art of Scientific Computing William T. Vetterling Second Edition Polaroid Corporation, Wayland, MA Steven R. Finch William H. Press MathSoft Inc., Cambridge, MA William H. Press Los Alamos National Laboratory, NM Los Alamos National Laboratory, NM “I consider this book to be an Saul A. Teukolsky Saul A. 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31 www.cambridge.org/us/mathematics Selected Backlist Introductory Lectures on Categories and Modules Selected Backlist Rings and Modules With K-Theory in View J. Beachy A.J. Berrick London Mathematical Society M.E. Keating Student Texts 47 Cambridge Studies in Complex Variables 1999/246 pp./250 exercises Advanced Mathematics 67 Introduction and Applications 64340-6/Hb/List: $100.00 2000/380 pp./190 exercises Second Edition Disc.: $80.00 63276-5/Hb/List: $75.00 Mark Ablowitz 64407-0/Pb/List: $36.99 Disc.: $60.00 A.S. Fokas Disc.: $29.59 Cambridge Texts in Applied Mathematics 35 Stochastic Integration with Jumps 2003/660 pp./160 line diagrams Complex Algebraic Surfaces Klaus Bichteler Second Edition Encyclopedia of Mathematics and its 53429-1/Pb/List: $60.00 Applications 89 Disc.: $48.00 Arnaud Beauville London Mathematical Society 2002/516 pp./17 line diagrams/1 table Student Texts 34 81129-5/Hb/List: $120.00 Reciprocity in Elastodynamics 1996/142 pp. Disc.: $96.00 Jan Achenbach 49510-5/Hb/List: $85.00 Cambridge Monographs on Mechanics Disc.: $68.00 Wave Motion 2004/266 pp./45 line diagrams 49842-2/Pb/List: $27.99 John Billingham 81734-X/Hb/List: $90.00 Disc.: $22.39 Andrew King Disc.: $72.00 Cambridge Texts in Applied Mathematics 24 Generalized Riemann Problems in 2001/478 pp./3 color plates/10 halftones/160 Fixed Point Theory and Applications Computational Fluid Dynamics figures/1 table/98 exercises Ravi P.Agarwal Matania Ben-Artzi Maria Meehan Joseph Falcovitz 63257-9/Hb/List: $100.00 Donal O’Regan Cambridge Monographs on Applied and Disc.: $80.00 Cambridge Tracts in Mathematics 141 Computational Mathematics 11 63450-4/Pb/List: $55.00 2001/180 pp./95 exercises 2003/366 pp./106 line diagrams Disc.: $44.00 80250-4/Hb/List: $75.00 77296-6/Hb/List: $100.00 Disc.: $60.00 Disc.: $80.00 Elliptic Curves in Cryptography I. Blake Typical Dynamics of Volume Preserving Representations and Cohomology G. Seroussi N. Smart Homeomorphisms Volume 2: Cohomology of Groups and London Mathematical Society Lecture Steve Alpern Modules Note Series 265 V.S. Prasad D. Benson 1999/220 pp. Cambridge Tracts in Mathematics 139 Cambridge Studies in Advanced 2001/236 pp./1 figure Mathematics 31 65374-6/Pb/List: $55.00 Disc.: $44.00 58287-3/Hb/List: $75.00 1998/291 pp. Disc.: $60.00 63652-3/Pb/List: $45.00 Disc.: $36.00 Analysis in Integer and Special Functions Fractional Dimensions Ron Blei George E. Andrews Representations and Cohomology Richard Askey Cambridge Studies in Volume 1: Basic Representative Theory of Advanced Mathematics 71 Ranjan Roy Finite Groups and Associative Algebras 2001/576 pp./275 exercises Encyclopedia of Mathematics and its D. Benson Applications 71 Cambridge Studies in Advanced 65084-4/Hb/List: $130.00 1999/680 pp. Mathematics 30 Disc.: $104.00 62321-9/Hb/List: $140.00 1998/258 pp. Disc.: $112.00 63653-1/Pb/List: $43.00 Random Graphs 78988-5/Pb/List: $55.00 Disc.: $34.40 Second Edition Disc.: $44.00 Béla Bollobás Cambridge Studies in An Introduction to Rings and Modules Advanced Mathematics 73 Scaling With K-Theory in View 2001/516 pp./10 line diagrams/8 tables G. Barenblatt A.J. Berrick Foreword by M.E. Keating 80920-7/Hb/List: $140.00 Alexandre Chorin Cambridge Studies in Advanced Disc.: $112.00 Cambridge Texts in Applied Mathematics 65 79722-5/Pb/List: $55.00 Mathematics 34 2000/282 pp./200 exercises Disc.: $44.00 2003/186 pp./5 halftones/40 figures 63274-9/Hb/List: $65.00 82657-8/Hb/List: $90.00 Disc.: $52.00 Disc.: $72.00 53394-5/Pb/List: $33.99 Disc.: $27.19

32 Call 1-800-872-7423 • Fax 845-353-4141 Selected Backlist Finite Elements Introduction to Lattices and Order Lectures on Invariant Theory Theory, Fast Solvers, and Second Edition Igor Dolgachev Applications in Solid Mechanics B.A. Davey London Mathematical Society Lecture Second Edition H.A. Priestley Note Series 296 subject code 71X Dietrich Braess 2002/310 pp./36 line diagrams/75 exercises 2003/236 pp. 2001/370 pp./62 line diagrams 78451-4/Pb/List: $39.99 52548-9/Pb/List: $55.00 Disc.: $44.00 01195-7/Pb/List: $43.00 Disc.: $31.99 Disc.: $34.40 Elementary Number Theory, Floer Homology Groups in Combinatorics: Topics, Techniques, Group Theory, and Ramanujan Graphs Yang-Mills Theory Algorithms Guiliana Davidoff S. Donaldson Peter J. Cameron Peter Sarnak Cambridge Tracts in Mathematics 147 Q1995/365 pp./40 line diagrams/300 exercises Alain Valette 2002/244 pp. London Mathematical Society 80803-0/Hb/List: $85.00 45761-0/Pb/List: $48.00 Student Texts 55 Disc.: $38.40 Disc.: $68.00 2003/154 pp. 82426-5/Hb/List: $80.00 Introduction to Symmetry Analysis Disc.: $64.00 Geometric Algebra for Physicists Chris Doran Brian J. Cantwell 53143-8/Pb/List: $27.99 Anthony Lasenby Cambridge Texts in Disc.: $22.39 Applied Mathematics 29 2003/592 pp./6 halftones/76 line diagrams/ 2002/654 pp./2 color plates/5 halftones/107 line 12 tables/135 exercises diagrams/20 tables/131 exercises/Includes CD Spectral Theory and 48022-1/Hb/List: $120.00 77183-8/Hb/List: $150.00 Differential Operators Disc.: $96.00 Disc.: $120.00 E.B. Davies Cambridge Studies in 77740-2/Pb/List: $70.00 Advanced Mathematics 42 Solitons: An Introduction Disc.: $56.00 1996/192 pp. P.G. Drazin R.S. Johnson 58710-7/Pb/List: $29.99 Cambridge Texts in Real Analysis Disc.: $23.99 Applied Mathematics 3 N.L. Carothers 1989/240 pp./line diagrams 2000/416 pp./45 line diagrams Theory of Algebraic Integers 33655-4/Pb/List: $48.00 49749-3/Hb/List: $95.00 Richard Dedekind Disc.: $38.40 Disc.: $76.00 Translated and introduced by 49756-6/Pb/List: $45.00 John Stillwell Disc.: $36.00 Cambridge Mathematical Library Nonlinear Systems P.G. Drazin 1996/166 pp. Cambridge Texts in Isoperimetric Inequalities 56518-9/Pb/List: $29.99 Applied Mathematics 10 Differential Geometric and Disc.: $23.99 1992/331 pp./2 color plates/many halftones/ Analytic Perspectives many line diagrams Isaac Chavel Representations of 40668-4/Pb/List: $50.00 Cambridge Tracts in Mathematics 145 Finite Groups of Lie Type Disc.: $40.00 2001/280 pp./16 line diagrams François Digne 80267-9/Hb/List: $95.00 Jean Michel Disc.: $76.00 Schwarz-Christoffel Mapping London Mathematical Society Tobin A. Driscoll Student Texts 21 Lloyd N. Trefethen A Course in Modern Analysis 1991/165 pp. Cambridge Monographs on Applied and its Applications 40117-8/Hb/List: $90.00 and Computational Mathematics 8 Graeme Cohen Disc.: $72.00 2002/148 pp./76 line diagrams Australian Mathematical Society 40648-X/Pb/List: $32.99 80726-3/Hb/List: $65.00 Lecture Series 17 Disc.: $26.39 Disc.: $52.00 2003/348 pp./16 line diagrams/165 exercises 81996-2/Hb/List: $110.00 Applied Analysis of A Course in Financial Calculus Disc.: $88.00 the Navier-Stokes Equations Alison Etheridge 52627-2/Pb/List: $45.00 Charles R. Doering 2002/204 pp./14 figures/138 exercises Disc.: $36.00 J.D. Gibbon 81385-9/Hb/List: $110.00 Cambridge Texts in Disc.: $88.00 Applied Mathematics 12 Mathematical Modeling 89077-2/Pb/List: $39.99 1995/231 pp./23 line diagrams/50 exercises Case Studies From Industry Disc.: $31.99 Editors 44568-X/Pb/List: $34.99 Ellis Cumberbatch Disc.: $27.99 Alistair Fitt 2001/316 pp./93 line diagrams 65007-0/Hb/List: $110.00 Disc.: $88.00 01173-6/Pb/List: $48.00 Disc.: $38.40

33 www.cambridge.org/us/mathematics Selected Backlist Navier-Stokes Equations Deterministic Observation Theory Linear Elastic Waves and Turbulence and Applications John G. Harris C. Foias Jean-Paul Gauthier Cambridge Texts in O. Manley Ivan Kupka Applied Mathematics 26 R. Rosa 2001/236 pp./2 line diagrams 2001/178 pp./34 line diagrams R. Temam 80593-7/Hb/List: $110.00 64368-6/Hb/List: $85.00 Encyclopedia of Mathematics and its Disc.: $88.00 Disc.: $68.00 Applications 83 64383-X/Pb/List: $34.99 2001/362 pp./1 halftone Disc.: $27.99 36032-3/Hb/List: $120.00 Soliton Equations and Disc.: $96.00 their Algebro-Geometric Solutions Volume I: (1 + 1)-Dimensional Algebraic Topology Continuous Models Allen Hatcher Logic, Induction and Sets Fritz Gesztesy 2001/556 pp. Thomas Forster Helge Holden 79540-0/Pb/List: $33.99 London Mathematical Society Cambridge Studies in Advanced Disc.: $27.19 Student Texts 56 Mathematics 79 2003/244 pp. 2003/518 pp. 82621-7/Hb/List: $80.00 Harmonic Maps, Conservation Laws 75307-4/Hb/List: $110.00 Disc.: $64.00 Disc.: $88.00 and Moving Frames 53361-9/Pb/List: $29.99 Frédéric Hélein Disc.: $23.99 Cambridge Tracts in Mathematics 150 Continuous Lattices and Domains 2002/290 pp. Gerhard Gierz The Geometry of Physics 81160-0/Hb/List: $90.00 Karl H. Hofmann Disc.: $72.00 An Introduction Klaus Keimel Second Edition Jimmie D. Lawson Theodore Frankel Michael W. Mislove Frobenius Manifolds and 2003/720 pp./120 line diagrams Dana S. Scott Moduli Spaces for Singularities 53927-7/Pb/List: $49.99 Encyclopedia of Mathematics and its Claus Hertling Applications 93 Disc.: $39.99 Cambridge Tracts in Mathematics 151 2003/628 pp. 2002/280 pp./7 line diagrams 80338-1/Hb/List: $150.00 81296-8/Hb/List: $85.00 Industrial Mathematics Disc.: $120.00 Disc.: $68.00 Case Studies in Heat and Mass Transport Glenn Fulford Philip Broadbridge Foundations of Cryptography Numbers, Groups and Codes Australian Mathematical Society Volume 1: Basic Tools Second Edition Lecture Series 16 Oded Goldreich John Humphreys 2002/214 pp. 2001/392 pp. Mike Prest 80717-4/Hb/List: $80.00 79172-3/Hb/List: $80.00 2004/354 pp./100 line diagrams Disc.: $64.00 Disc.: $64.00 54050-X/Pb/List: $45.00 00181-1/Pb/List: $34.99 Disc.: $36.00 Disc.: $27.99 Representations and Invariants of the Classical Groups A Guide to MATLAB Young Tableaux Roe Goodman for Beginners and Experienced Users With Applications to Nolan R. Wallach Brian R. Hunt Representation Theory and Geometry Encyclopedia of Mathematics Ronald L. Lipsman William Fulton and its Applications 68 Jonathan M. Rosenberg London Mathematical Society 1998/703 pp./100 line diagrams 2001/348 pp./138 line diagrams Student Texts 35 58273-3/Hb/List: $140.00 00859-X/Pb/List: $45.00 1996/270 pp. Disc.: $112.00 Disc.: $36.00 56724-6/Pb/List: $34.99 66348-2/Pb/List: $70.00 Disc.: $27.99 Disc.: $56.00 Geometry of Sporadic Groups I Petersen and Tilde Geometries All the Mathematics You Missed Finite Markov Chains A.A. Ivanov But Need to Know for Graduate School and Algorithmic Applications Encyclopedia of Mathematics and Thomas A. Garrity Olle Häggström its Applications 76 2001/376 pp. London Mathematical Society 1999/422 pp./25 line diagrams Student Texts 52 79285-1/Hb/List: $70.00 41362-1/Hb/List: $100.00 Disc.: $56.00 2002/124 pp./20 line diagrams Disc.: $80.00 79707-1/Pb/List: $31.99 81357-3/Hb/List: $75.00 Disc.: $25.59 Disc.: $60.00 89001-2/Pb/List: $34.99 Disc.: $27.99

34 Call 1-800-872-7423 • Fax 845-353-4141 Selected Backlist Geometry of Sporadic Groups II Analysis on Fractals Affine Hecke Algebras and Representations and Amalgams Jun Kigami Orthogonal Polynomials A.A. Ivanov Cambridge Tracts in Mathematics 143 I.G. Macdonald S.V. Shpectorov 2001/234 pp./12 line diagrams Cambridge Tracts in Mathematics 157 Encyclopedia of Mathematics and 79321-1/Hb/List: $65.00 2003/186 pp. its Applications 91 Disc.: $52.00 82472-9/Hb/List: $75.00 2002/304 pp./55 line diagrams/15 tables Disc.: $60.00 62349-9/Hb/List: $95.00 Disc.: $76.00 Applied Complex Variables Yue Kuen Kwok An Algebraic Introduction to K-Theory 2002/404 pp./88 figures/300 exercises Bruce A. Magurn A Student’s Guide to 80302-0/Hb/List: $95.00 Encyclopedia of Mathematics and Fourier Transforms Disc.: $76.00 its Applications 87 Second Edition 00462-4/Pb/List: $45.00 2002/690 pp. John F. 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Liebeck Winner of 2002 2001/466 pp. JPBM Communications Award The Theory of Information and Coding 81205-4/Hb/List: $130.00 The Eightfold Way Student Edition Disc.: $104.00 The Beauty of Klein’s Quartic Curve Robert McEliece 00392-X/Pb/List: $50.00 Editor 2004/410 pp./50 line diagrams Disc.: $40.00 Silvio Levy 83185-7/Hb/List: $65.00 Mathematical Sciences Research Disc.: $52.00 Institute Publications 35 The Prime Number Theorem 2001/342 pp./8 color plates/150 line diagrams Graham Jameson The Theory of Composites London Mathematical Society 00419-5/Pb/List: $34.99 Student Texts 53 Disc.: $27.99 Graeme W. 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Jensen Institute Publications 43 Arne Ledet Coding Theory 2002/496 pp. Noriko Yui A First Course 81512-6/Hb/List: $85.00 Mathematical Sciences Research Disc.: $68.00 Institute Publications 45 San Ling Chaoping Xing 2002/268 pp./7 line diagrams/1 table 2004/234 pp./50 line diagrams 81998-9/Hb/List: $80.00 An Introduction to Disc.: $64.00 82191-6/Hb/List: $95.00 Invariants and Moduli Disc.: $76.00 Shigeru Mukai 52923-9/Pb/List: $45.00 Translated by Restricted Orbit Equivalence of Disc.: $36.00 W.M. Oxbury Discrete Amenable Groups Cambridge Tracts in Mathematics 148 Janet Kammeyer 2003/524 pp. Daniel Rudolph Combinatorics on Words 80906-1/Hb/List: $110.00 Cambridge Tracts in Mathematics 146 Editor Disc.: $88.00 2002/208 pp. M. Lothaire Cambridge Mathematical Library 80795-6/Hb/List: $65.00 Disc.: $52.00 1997/256 pp. Indra’s Pearls 59924-5/Pb/List: $39.99 The Vision of Felix Klein Disc.: $31.99 David Mumford Caroline Series David J. Wright 2002/416 pp./250 color plates/250 halftones 35253-3/Hb/List: $58.00 Disc.: $46.40 35 www.cambridge.org/us/mathematics Selected Backlist Quasi-Frobenius Rings The Mathematics of Oz Modern Signal Processing W.K. Nicholson Mental Gymnastics from Beyond the Edge Daniel N. Rockmore M.F. Yousif Clifford A. Pickover Dennis M. Healy Jr. Cambridge Tracts in Mathematics 154 2002/368 pp./80 line diagrams Mathematical Sciences Research Institute Publications 2003/326 pp. 01678-9/Hb/List: $34.99 81593-2/Hb/List: $90.00 Disc.: $27.99 2004/352 pp. Disc.: $72.00 82706-X/Hb/List: $75.00 Disc.: $60.00 Abelian Varieties, Theta Functions Quantum Computation and and the Fourier Transform Quantum Information Alexander Polishchuk Diffusions, Markov Processes M.A. Nielsen Cambridge Tracts in Mathematics 153 and Martingales Isaac L. Chuang 2003/308 pp. Volume 1: Foundations Cambridge Series on Information Second Edition and the Natural Sciences 80804-9/Hb/List: $80.00 Disc.: $64.00 L.C.G. 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