ISSN 0002-9920 Notices of the American Mathematical Society ABCD springer.com Highlights in Springer’s eBook Collection of the American Mathematical Society October 2009 Volume 56, Number 9 3RD INCLUDES NEW EDITION NEW CD-ROM This excellent introduction to This book prepares graduate This concise, self-contained From a review of the hyperbolic differential students for research in text is accessible to first year previous edition: equations is devoted to linear numerical analysis/computa- graduate students, giving the 7 The main emphasis of the Accommodations of equations and symmetric tional mathematics by giving a full background needed for book is on applications of Learning Disabilities systems, as well as conserva- mathematical framework readers unfamiliar with the various models that facilitate tion laws. Over 100 exercises embedded in functional topic of finite semigroups. managerial decisions to be in Mathematics are included, as well as “do it analysis and focused on The tools presented are also taken....The algorithms and Courses yourself” instructions for the numerical analysis. This helps of significant use to techniques are explained by proofs of many theorems. them to move rapidly into a researchers in various fields providing insight and page 1072 Notes at the end of the self- research program. of mathematics. illustration....A practitioner contained chapters, as well as can use the book to identify a references at the end of the 3rd ed. 2009. XVI, 625 p. (Texts 2009. Approx. 190 p. 10 illus. solution technique and the book, enable ease-of-use for in Applied Mathematics, (Developments in corresponding software tool both the student and the Volume 39) Hardcover Mathematics, Volume 20) to tackle a real-life problem.... Communities in independent researcher. ISBN 978-1-4419-0457-7 Hardcover teaches. Networks 7 $79.95 ISBN 978-1-4419-0159-0 7 ZENTRALBLATT MATH 2009. XII, 150 p. (Universitext) 7 $89.95 page 1082 Softcover 2nd ed., 2009, XVIII, 537 p. ISBN 978-0-387-87822-5 With CD-ROM., Hardcover 7 $59.95 ISBN 978-1-4419-0909-1 7 $79.95 Transitioning to Careers in Higher For access check with your librarian Education page 1098 A Concise Introduction to Mathematical Geometric Etudes in Combinatorial Logic Mathematics Volume 56, Number 9, Pages 1065–1224, October 2009 W. Rautenberg , Freie Universität Berlin, Germany A. Soifer , University of Colorado, Colorado Springs, CO, USA San Francisco The third edition is a thorough and expanded revision of the This second edition of Alexander Sofier’s Geometric Etudes in meeting former. Philosophical and foundational problems of mathematics Combinatorial Mathematics provides supplementary reading are discussed throughout the text. Each section of the seven materials to students at various levels interested in pursuing page 1179 chapters ends with exercises some of which of importance for mathematics, especially in algebra, geometry, or combinato- the text itself. There are hints to most of the exercises in a rial geometry separate file Solution Hints to the Exercises which is not part of the book but is available from the author’s website. 2nd ed. 2010. Approx. 250 p. 300 illus. Softcover ISBN 978-0-387-75469-7 7 approx. $39.95 3rd ed. 2010. Approx. 340 p. 25 illus. (Universitext) Softcover ISBN 978-1-4419-1220-6 7 approx. $69.95 Easy Ways to Order for the Americas 7 Write: Springer Order Department, PO Box 2485, Secaucus, NJ 07096-2485, USA 7 Call: (toll free) 1-800-SPRINGER 7 Fax: 1-201-348-4505 7 Email: [email protected] or for outside the Americas 7 Write: Springer Customer Service Center GmbH, Haberstrasse 7, 69126 Heidelberg, Germany 7 Call: +49 (0) 6221-345-4301 7 Fax : +49 (0) 6221-345-4229 7 Email: [email protected] 7 Prices are subject to change without notice. San Francisco and the Golden Gate (see page 1132) All prices are net prices. 014385x Trim: 8.25" x 10.75" 160 pages on 40 lb Velocity • Spine: 3/16" • Print Cover on 9pt Carolina LATEX LATEX LATEX New and Forthcoming Notes on Introductory A History of Algebraic and Representation Theory and Combinatorics Differential Topology, Complex Geometry George Pólya, Robert E. Tarjan, Princeton 1900 – 1960 Neill Chriss, University of Chicago, Univeristy, NJ, USA; Donald R. Woods, Chicago, IL, USA; Victor Ginzburg, Jean Dieudonné Google Inc., Mountain View, CA, USA University of Chicago, Chicago, IL, USA “This book is a well-informed and detailed “This is a delightful little paperback which “The book is largely self-contained.... analysis of the problems and development presents a day-by-day transcription of a There is a nice introduction to symplectic of algebraic topology, from Poincaré and course taught jointly by Polya and Tarjan at geometry and a charming exposition of Brouwer to Serre, Adams, and Thom. Stanford University. Woods, the teaching equivariant K-theory. Both are enlivened by The author has examined each signifi cant assistant for the class, did a very good job of examples related to groups... An attractive paper along this route and describes merging class notes into an interesting mini- feature is the attempt to convey some the steps and strategy of its proofs and textbook; he also included the exercises, informal ‘wisdom’ rather than only the its relation to other work. Previously, the homework, and tests assigned in the class precise defi nitions. As a number of results history of the many technical develop- (a very helpful addition for other instructors in is due to the authors, one fi nds some of the ments of 20th-century mathematics had the fi eld). The notes are very well illustrated original excitement. This is the only available seemed to present insuperable obstacles throughout and Woods and the Birkhäuser introduction to geometric representation to scholarship. This book demonstrates in publishers produced a very pleasant text. theory...it has already proved successful the case of topology how these obstacles One can count on [Pólya and Tarjan] for new in introducing a new generation to the can be overcome, with enlightening insights and a fresh outlook. Both instructors subject.” —Bulletin of the AMS results.... Within its chosen boundaries the taught by presenting a succession of coverage of this book is superb. Read it!” examples rather than by presenting a body 2009. APPROX. 510 P., 5 ILLUS., SOFTCOVER —MathSciNet of theory…[The book] is very well suited as ISBN 978-0-8176-4937-1 $59.95 MODERN BIRKHÄUSER CLASSICS supplementary material for any introductory 2009. XXIV., 648 P. SOFTCOVER class on combinatorics; as such, it is very ISBN 978-0-8176-4906-7 $69.95 highly recommended. Finally, for all of us MODERN BIRKHÄUSER CLASSICS Integration and Modern who like the topic and delight in observing skilled professionals at work, this book is Analysis entertaining and, yes, instructive, reading.” Liaison, Schottky Problem John J. Benedetto, University of Maryland, —Mathematical Reviews and Invariant Theory College Park, MD, USA, Wojciech Czaja, (Review of the original hardcover edition) University of Maryland, College Park, MD, USA Remembering Federico Gaeta 2010. APPROX. 205 P., 125 ILLUS., SOFTCOVER Maria Emilia Alonso, Universidad This textbook begins with the fundamen- ISBN 978-0-8176-4952-4 APPROX. $49.95 Complutense de Madrid, Spain; Enrique tals of classical real variables and leads MODERN BIRKHÄUSER CLASSICS Arrondo, Universidad Complutense de to Lebesgue’s defi nition of the integral, Madrid, Spain; Raquel Mallavibarrena, the theory of integration and the structure Viability Theory Universidad Complutense de Madrid, of measures in a measure theoretical Spain; Ignacio Sols, Universidad format. Core chapters are followed by Jean-Pierre Aubin, Université de Paris- Complutense de Madrid, Spain (Eds.) chapters of a topical nature, which clarify Dauphine and CNRS, Paris, France the authors’ vision of modern real analy- This volume is a homage to the memory sis. These topics include weak conver- “The book is a compendium of the state of of the Spanish mathematician Federico gence, the Riesz representation theorem, knowledge about viability...Mathematically, Gaeta (1923-2007). Apart from a histori- the Lebesgue differential theorem, and the book should be accessible to anyone cal presentation of his life and interac- self-similar sets and fractals. Historical who has had basic graduate courses in tion with the classical Italian school of remarks, problems and examples, and modern analysis and functional analysis… algebraic geometry, the volume presents appendices on functional analysis and The concepts are defi ned and many proofs surveys and original research papers on Fourier analysis provide insight into the of the requisite results are reproduced here, the mathematics he studied. Specifi cally, it theory and its applications. The self- making the present book essentially self- is divided into three parts: linkage theory, contained and fundamental coverage of contained.” —Bulletin of the AMS Schottky problem and invariant theory. On the theories of integration, differentiation, 2009. XXVIII., 2ND PRINTING. 544 P. 10 ILLUS. this last topic a hitherto unpublished article and modern analysis make this text ideal SOFTCOVER by Federico Gaeta is also included. for the classroom setting. ISBN 978-0-8176-4909-8 $69.95 2010. APPROX. 300 P. HARDCOVER 2009. XVII, 571 P. , 24 ILLUS., HARDCOVER MODERN BIRKHÄUSER CLASSICS ISBN: 978-3- 0346-0200-6 APPROX. $94.95 ISBN 978-0-8176-4306-5 $79.95 PROGRESS IN MATHEMATICS BIRKHÄUSER ADVANCED TEXTS CALL: 1-800-777-4643 • FAX: (201) 348-4505 • E-MAIL: [email protected] • www.birkhauser.com Please mention promotion #14390x when ordering. Prices are valid in the Americas only and are subject to change without notice. For price and ordering information outside the Americas, please contact Birkhäuser Verlag AG by E-mail: [email protected] 14390x Notices of the American Mathematical Society October 2009 1105 Communications 1106 WHAT IS…Stanley Depth? M. R.