ISSN 0002-9920 Notices of the American Mathematical Society ABCD springer.com Highlights in Springer’s eBook Collection of the American Mathematical Society November 2009 Volume 56, Number 10 NEW NEW NEW Andrew M. Gleason (1921–2008) This book stresses applications of real Starting with basic principles, this book This accessible book offers a general analysis, detailing how its principles and provides a comprehensive classification introduction to delay differential page 1236 theory can be applied in a variety of of the various types of finite reflection equations. It is a revised version of a settings in subjects ranging from groups and describes their underlying series of lectures given at the Université Fourier series and polynomial geometric properties. Numerous Libre de Bruxelles and then at the approximation to discrete dynamical exercises at various levels of difficulty Université Joseph Fourier (Grenoble) Interview with systems and nonlinear optimization. are included. during the spring of 2003. Yuri Manin 2009. Approx. 520 p. 80 illus. 2010. XII, 172 p. 74 illus. (Universitext) 2009. XII, 204 p. (Surveys and Tutorials in (Undergraduate Texts in Mathematics) Softcover the Applied Mathematical Sciences, page 1268 Hardcover ISBN 978-0-387-79065-7 7 $49.95 Volume 3) Softcover ISBN 978-0-387-98097-3 7 $79.95 ISBN 978-0-387-74371-4 7 $39.95 Review of For access check with your librarian The Princeton Companion to Mathematics Colorado Mathematical Deformation Theory A Course in Mathematical page 1276 Olympiad R. Hartshorne , University of California, Logic for Mathematicians The First Twenty Years and Further Berkeley, CA, USA Y. I. Manin , Max-Planck-Institut für Explorations This first textbook on deformation Mathematik, Bonn, Germany theory begins by studying what Volume 56, Number 10, Pages 1225–1400, November 2009 A. Soifer , University of Colorado, With contrib. by: B. Zilber, Mathematical happens over small infinitesimal Colorado Springs, CO, USA Institute, University of Oxford, Oxford, UK deformations, and then gradually builds This new edition of the straightforward In two decades, the Colorado Springs up to more global situations. The author introduction to mathematical logic Mathematics Olympiad has become an provides plenty of motivation, including retains its appeal to the intuition of annual state-wide competition. This numerous exercises and examples. book tells the history of the competition working mathematicians, yet along with as well as an outline of the problems 2010. Approx. 240 p. 19 illus. material from the first edition, it has fresh and solutions that have been a part of (Graduate Texts in Mathematics, chapters, one of which deals with Model the contest. Volume 257) Hardcover Theory. ISBN 978-1-4419-1595-5 7 approx. $49.95 2nd ed. 2010. Approx. 400 p. 140 illus. 2nd ed. 2010. XII, 384 p. 12 illus. (Graduate Softcover Texts in Mathematics, Volume 53) Hardcover ISBN 978-0-387-75471-0 7 approx. $44.95 ISBN 978-1-4419-0614-4 7 $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. All prices are net prices. 014449x Through the Legendrian looking glass (see page 1301) Trim: 8.25" x 10.75" 176 pages on 40 lb Velocity • Spine: 3/16" • Print Cover on 9pt Carolina ,!4%8 ,!4%8 ,!4%8 2010 Employment Joint Mathematics Meetings San Francisco, CA January 13–16, 2010 Center at the Joint Mathematics Meetings San Francisco, CA • January 13, 14, 15, and 16, 2010 To receive a meetings badge, register for the Joint Mathematics Meeting by December 22, 2009. On-site registration will also be available. Visit www.ams.org/emp-reg for registration information for the Employment Center. New and Forthcoming Inequalities Mean Curvature Flow and Stochastic Models, A Mathematical Olympiad Isoperimetric Inequalities Information Theory, Approach Manuel Ritoré, Universidad Granada, and Lie Groups, Volume 1 Radmila Bulajich Manfrino, Universidad Spain; Carlo Sinestrari, Università di Autónoma del Estado de Morelos, Mexico; Roma “Tor Vergata”, Italy; Vicente Miquel, Classical Results and Geometric José Antonio Gómez Ortega, Universidad Universitat de València, Spain; Joan Porti, Methods Nacional Autónoma de Mexico; Universitat Autònoma de Barcelona, Spain Gregory S. Chirikjian, The John Hopkins Rogelio Valdez Delgado, Universidad Geometric fl ows have many applications in University, Baltimore, MD, USA Autónoma del Estado de Morelos, Mexico physics and geometry, while isoperimetric The subjects of stochastic processes, This book presents classical inequalities inequalities can help in treating several information theory, and Lie groups are and specifi c inequalities which are aspects of convergence of these fl ows. usually treated separately from each other. particularly useful for tackling and Based on a series of lectures given by the This unique textbook presents these topics solving optimization problems. Most of authors, the material here deals with both in a unifi ed setting, thereby building bridg- the examples, exercises and problems subjects fi elds of geometry, like es among fi elds that are rarely studied by that appear in the book originate from hyperbolic manifolds. the same individuals. Volume I establishes Mathematical Olympiad contests around 2010. 125 P., SOFTCOVER the geometric and statistical foundations the world. ISBN: 978-3-0346-0212-9 $39.95 required to understand the fundamentals 2009. 220 P., SOFTCOVER ADVANCED COURSES IN MATHEMATICS - of continuous-time stochastic processes, ISBN 978-3-0346-0049-1 $39.95 CRM BARCELONA differential geometry, and the probabilistic foundations of information theory. Mathematics 2009. 383 P.,13 ILLUS., HARDCOVER Simplicial Homotopy ISBN 978-0-8176-4802-2 $59.95 Theory for Multimedia APPLIED AND NUMERICAL HARMONIC Mladen Victor Wickerhauser, Washington ANALYSIS Paul G. Goerss, Northwestern University, University, St. Louis, MO, USA Evanston, IL, USA; John F. Jardine, The This textbook presents the mathematics The Center and University of Western Ontario, London, that is foundational to multimedia applica- ON, Canada Cyclicity Problems tions. Featuring a rigorous survey of select- With the development of Quillen‘s con- ed results from algebra and analysis, the A Computational Algebra cept of a closed model category and, in work examines tools used to create appli- Approach particular, a simplicial model category, cation software for multimedia signal pro- Valery Romanovski, University of Maribor, this collection of methods has become cessing and communication. Key features Slovenia; Douglas Shafer, University of the primary way to describe non-abelian include over 100 exercises with complete North Carolina at Charlotte, NC, USA homological algebra and to address solutions; many sample programs in homotopy-theoretical issues in a variety Standard C and illustrations based on data Using a computational algebra ap- of fi elds, including algebraic K-theory. This from real studies; suggestions for further proach, this work addresses the center book supplies a modern exposition of reading at the end of each chapter; and and cyclicity problems as behaviors these ideas, emphasizing model category a companion website providing the com- of dynamical systems and families of theoretical techniques. Discussed here puter programs described in the book as polynomial systems. The text fi rst lays the are the homotopy theory of simplicial sets, well as additional references and data fi les, groundwork for computational algebra and other basic topics such as simplicial such as images and sounds, to enhance and gives the main properties of ideals in groups, Postnikov towers, and bisimplicial the reader’s understanding of key topics. polynomial rings and their affi ne varieties sets. The more advanced material includes 2010. 206 P., 37 ILLUS., HARDCOVER followed by a discussion on the theory homotopy limits and colimits, localization ISBN 978-0-8176-4879-4 $69.95 of normal forms and stability. The center with respect to a map and with respect to APPLIED AND NUMERICAL HARMONIC and cyclicity problems are then explored a homology theory, cosimplicial spaces, ANALYSIS in detail. Containing exercises as well as and homotopy coherence. Interspersed historical notes and algorithms, this self- throughout are many results and ideas contained text is suitable for an advanced well-known to experts, but uncollected in graduate course in the subject as well as a the literature. reference for researchers. 2010. XV, 510 P., SOFTCOVER 2009. XVI, 330 P., 4 ILLUS., SOFTCOVER ISBN: 978-3-0346-0188-7 $49.95 ISBN: 978-0-8176-4726-1 $ 59.95 MODERN BIRKHÄUSER CLASSICS CALL: 1-800-777-4643 • FAX: (201) 348-4505 • E-MAIL: [email protected] • www.birkhauser.com Please mention promotion #014452 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] 014452x Notices of the American Mathematical Society November 2009 Communications 1276 1236 1282 WHAT IS…a Legendrian Knot? Joshua M. Sabloff 2 1285 Mathematical Sciences in p 1 the FY 2010 Budget 0 Samuel M. Rankin III 1 1289 2008 Annual Survey of the Mathematical Sciences in 1268 1282 the United States (Third 1 Report) Polly Phipps, James W. Maxwell, and Colleen A. Rose Features Commentary 1236 Andrew M. Gleason (1921–2008) 1229 Opinion: The Employment Ethan D. Bolker, coordinating editor Market for Early Career Colleagues, friends, and family recall the life and work Mathematicians of the eminent American mathematician. Linda Keen and Donald E. McClure 1268 We Do Not Choose Mathematics as Our 1232 Letters to the Editor Profession, It Chooses Us: Interview with Yuri Manin Mikhail Gelfand Reflections on mathematics and the mathematical life by the prominent algebraic geometer.