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New and Recent Books in Mathematics Contents Mail orders All orders from individuals must be prepaid or charged on American Express, VISA Highlights.............................................p. 3 or MasterCard. Forthcoming titles can be ordered now and will be shipped when they become available. Please feel free to share this information with your colleagues. Logic and Combinatorics......................p. 5 The order form may be photocopied. Algebra................................................p. 7 Phone orders Number Theory ....................................p. 9 To place a telephone order of $25 or more between the hours of 9:00 AM and 5:00 PM ET Monday through Friday: call 1-800-872-7423 in the U.S. and Canada. Geometry and Topology.....................p. 11 In Mexico call 55 5519 59 39. Mathematical Physics .........................p. 14 Library orders Analysis and Probability......................p. 16 Libraries are encouraged to use their wholesalers. Statistics and Finance .........................p. 20 Text Dynamical Systems.............................p. 22 Please visit us at www.cambridge.org/us/textbooks to request an examination copy of a textbook. You may also speak with a college sales representative toll free at Fluid Dynamics and Solid Mechanics...p. 23 1 866 257 3385 or email your request to [email protected]. Applied and Numerical Math..............p. 25 Book Proposals Computation......................................p. 27 We are always pleased to hear about new book proposals. Please contact our History and Philosophy of Mathematics editor, Roger Astley, at [email protected] Mathematics...................................p. 28 Web Site General Interest..................................p. 29 To view a complete listing of Cambridge University Press books in print, please visit our web site at: www.cambridge.org. If you would like to be on our electronic Numerical Recipes ..............................p. 31 mailing list and receive regular information about our new books, please visit: Selected Backlist.................................p. 32 www.cambridge.org/alerts. Journals..............................................p. 37 Mail, call or fax in your Special Discount Offer order to receive Good until June 30, 2006 20% off ! 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,
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