Notices of the American Mathematical Society ISSN 0002-9920 ABCD springer.com New and Noteworthy from Springer Number Story The Interactive Geometry From Counting to Cryptography Software Cinderella 2 CD ROM of the American Mathematical Society P. M. Higgins , University of Essex, UK U. H. Kortenkamp , Pädagogische Numbers have fascinated people for centuries. Hochschule, Schwäbisch Gmünd, February 2008 Volume 55, Number 2 They are familiar to everyone, forming a central Germany; pillar of our understanding of the world, yet the J. Richter-Gebert , Technische Universität, München, Germany number system was not presented to us “gift- The new version of this well-known interactive geometry software has Crystals That Nature wrapped” but, rather, was developed over become an even more versatile tool than its predecessor. The geometry millennia. Peter Higgins distills centuries of work component extends the functionality to such spectacular objects as Might Miss Creating into one delightful narrative that celebrates the mystery of numbers dynamic fractals, and the software includes two major new and explains how diff erent kinds of numbers arose and why they are components: physical simulation such as of mechanical objects, virtual page 208 useful. Full of historical snippets and interesting examples, the book electronic devices, and electromagnetic properties. ranges from simple number puzzles and magic tricks, to showing how ideas about numbers relate to real-world problems. Reviews of Cinderella 1 7 Cinderella is a gem: this interac- Irving Kaplansky’s Role 2008. XII, 324 p. 33 illus. (Copernicus) Hardcover tive geometry package o ers an environment in which the user can do classic or original constructions with extreme accuracy ISBN 978-1-84800-000-1 7 $25.00 in Mid-Twentieth Century and ease... is package far outstrips its competitors (such as Functional Analysis Complex Analysis e Geometers Sketchpad, Cabrigeometry II) in capability and ease of use. 7 CHOICE In the Spirit of Lipman Bers page 216 J. P. Gilman , Rutgers University, Newark, NJ, USA; I. Kra , Math For PC and Mac 7 For the complete system requirements see: for America, New York, NY, USA; R. E. Rodriguez , Pontifi cia springer.com Università Catolica de Chile, Santiago, Chile Version 2.0 2008. CD-ROM. The authors’ aim is to present a precise and concise treatment of those ISBN 978-3-540-33422-4 7 $89.95 parts of complex analysis that should be familiar to every research mathematician. They follow a path in the tradition of Ahlfors and Bers by dedicating the book to a very precise goal: the statement and proof An of the Fundamental Theorem for functions of one complex variable. Introduction 2ND They discuss the many equivalent ways of understanding the concept EDITION Baton Rouge of analyticity, and off er a leisure exploration of interesting conse- to the Theory quences and applications. of Point Meeting Processes 2008. XIV, 240 p. 20 illus. (Graduate Texts in Mathematics, Volume page 320 245) Hardcover Volume II ISBN 978-0-387-74714-9 7 $69.95 D. Daley , Australian National University, Canberra, ACT, Bloomington A Course on Mathematical Logic Australia; D. Vere-Jones , Victoria University, Wellington, S. M. Srivastava , Indian Statistical Institute, Kolkata, India New Zealand Volume 55, Number 2, Pages 201–336, February 2008 Meeting Logic is a very profound subject, Godel’s work being one the most The authors have signifi cantly reshaped their fi rst edition and now page 322 remarkable discoveries in 20th-Century mathematics, having present Introduction to the Theory of Point Processes in two volumes. made an enormous impact on set theory, model theory as well as Volume One contains introductory chapters and off ers new material on computer science. This book provides a short, distinctive, modern, marked point processes and processes evolving in time, where the and well-motivated introduction to mathematical logic. It starts conditional intensity methodology provides a basis for model building, Rio de Janeiro with the defi nition of fi rst order languages, proceeds through inference, and prediction. Volume Two returns to the general theory, propositional logic, completeness theorems, and fi nally the two with additional material on marked and spatial processes. Meeting Incompleteness Theorems of Godel. In the process, the reader is 2nd ed. 2008. XVIII, 566 p. (Probability and Its Applications) also introduced to model theory and recursion theory. page 326 Hardcover 2008. Approx. 155 p. (Universitext) Softcover ISBN 978-0-387-21337-8 7 $89.95 ISBN 978-0-387-76275-3 7 $49.95 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 Distribution 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. 013496x JPEG image compression (see page 225) Trim: 8.25" x 10.75" 136 pages on 40 lb Cougar Opaque • Spine: 3/16" • Print Cover on 9pt Carolina LATEX LATEX LATEX Pro AMERICAN MATHEMATICAL SOCIETY Mathematical Surveys and What’s Happening Ricci Flow and the Monographs The Ricci Flow: The Ricci Flow: Volume 135 Techniques in the Mathematical Poincaré Conjecture and Applications Techniques and Sciences John Morgan, Columbia Part I: Geometric Aspects Applications Bennett Chow Sun-Chin Chu University, New York, NY, David Glickenstein Dana Mackenzie and Christine Guenther Part I: Geometric Aspects James Isenberg and Gang Tian, Princeton Tom Ivey Barry Cipra Dan Knopf Peng Lu Bennett Chow, Sun-Chin University, NJ, and Peking Feng Luo What’s Happening in the Lei Ni University, Beijing, China American Mathematical Society Chu, Christine Guenther, Mathematical Sciences, James Isenberg, Tom Ivey, Volume 6; 2006; 122 pages; Softcover; ISBN: 978-0-8218- Titles in this series are co-published with the Clay Dan Knopf, Peng Lu, Feng Luo, and Lei Ni 3585-2; List US$23; AMS members US$18; Order code Mathematics Institute (Cambridge, MA). 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American Mathematical Society, 201 Charles Street, Providence, RI 02904-2294 USA New & Forthcoming from Birkhäuser Geometric Integration Theory Mathematical Analysis L’isomorphisme entre les tours STEVEN G. KRANTZ, Washington University, St. Louis, MO, Foundations and Advanced Techniques de Lubin-Tate et de Drinfeld USA; HAROLD PARKS, Oregon State University, Corvallis, for Functions of Several Variables OR, USA LAURENT FARGUES; ALAIN GENESTIER, both MARIANO GIAQUINTA, Scuola Normale Superiore, Pisa, Italy; Laboratoire de Mathématiques, Orsay, France; VINCENT This textbook introduces geometric measure theory GIUSEPPE MODICA, Università degli Studi di Firenze, Italy LAFFORGUE, Université Paris 6, France through the notion of currents. Currents, continuous Mathematical Analysis: Foundations and Advanced This book gives a complete and thorough proof linear functionals on spaces of differential forms, Techniques for Functions of Several Variables builds of the existence of an equivariant isomorphism are a natural language in which to formulate types upon the basic ideas and techniques of differential between Lubin-Tate and Drinfeld towers in infi nite of extremal problems arising in geometry, and can and integral calculus for functions of several variables, level. The result is established in equal and inequal be used to study generalized versions of the Plateau as outlined in an earlier introductory volume.