ISSN 0002-9920 Notices of the American Mathematical Society ABCD springer.com Highlights in Springer’s eBook Collection of the American Mathematical Society August 2009 Volume 56, Number 7 Guido Castelnuovo and Francesco Severi: NEW NEW NEW Two Personalities, Two The objective of this textbook is the Blackjack is among the most popular This second edition of Alexander Soifer’s Letters construction, analysis, and interpreta- casino table games, one where astute How Does One Cut a Triangle? tion of mathematical models to help us choices of playing strategy can create demonstrates how different areas of page 800 understand the world we live in. an advantage for the player. Risk and mathematics can be juxtaposed in the Students and researchers interested in Reward analyzes the game in depth, solution of a given problem. 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Courtesy of Map Collection, Yale University Library AA WorldWorld WithWith MatheMathemmaticsatics Support the future of mathematics Give to the American Mathematical Society Your donations support: Learn about giving opportunities and estate planning • Career paths of young mathematicians www.ams.org/giving-to-ams • Recognition of important work Contact the AMS Development • Public awareness and appreciation of Office 1.800.321.4267 mathematics (U.S. and Canada) or • Inspiration of young scholars 1.401.455.4000 (Epsilon Fund) (worldwide) email: [email protected] • International outreach 06/04 New and Forthcoming Winner of the Ferran Sunyer-i- Fourier Analysis on Spacetime, Geometry Balaguer Prize 2009 Finite Abelian Groups and Gravitation Quantitative Arithmetic of Bao Luong, Department of Defense, Pankaj Sharan, Jamia Millia Islamia, Projective Varieties Ft. Meade, MD, USA New Delhi, India Timothy D. Browning, Bristol University, This unifi ed, self-contained book This introductory textbook on the general UK examines the mathematical tools used for theory of relativity presents a solid decomposing and analyzing functions, foundation for those who want to learn This book is concerned with counting specifi cally, the application of the [discrete] about relativity, which is covered here in rational points of bounded height on pro- Fourier transform to fi nite Abelian groups. a broad and deep manner. The subject jective algebraic varieties. This is a fertile With countless examples and unique is presented in a physically intuitive, but and vibrant topic that lies at the interface exercise sets at the end of each section, mathematically rigorous style. One of the of analytic number theory and Diophantine Fourier Analysis on Finite Abelian Groups main goals of the work is to allow students geometry. 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Campbell, Memorial University of Newfoundland, St. John’s, NF, Canada; Frequency Methods, and Classical Theory of Functions Loek Helminck, North Carolina State Applications to Signal and John Stalker, Princeton University, University, Raleigh, NC, USA; Image Analysis Princeton, NJ, USA Hans-Peter Kraft, Universität Basel, Peter Massopust, Helmholtz Zentrum “The fi rst chapter deals with a beautiful Switzerland; David Wehlau, Queen’s München, Germany; Brigitte Forster- presentation of special functions... The University, Kingston, ON, Canada (Eds.) Heinlein, Technische Universität München, third chapter covers elliptic and modular This volume covers the wide range of Germany (Eds.) functions...in much more detail, and from mathematics to which Gerry Schwarz has a different point of view, than one can fi nd This state-of-the-art textbook covers four either made fundamental contributions or in standard introductory books... 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HARDCOVER ISBN 978-0-8176-4890-9 CA. $ 49.95 APPLIED AND NUMERICAL HARMONIC ANALYSIS #!,, s&!8 s% -!),ORDERS BIRKHAUSERCOMsWWWBIRKHAUSERCOM Please mention promotion #14306x 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] 14306x Notices of the American Mathematical Society August 2009 Communications 850 817 WHAT IS…the Parity Phenomenon? 823 John Friedlander and Henryk Iwaniec 819 Why Publish Mathematics? Klaus Peters 828 2008 Annual Survey of the Mathematical Sciences in the United States (Second 800 Report) (and Doctoral Degrees Conferred 2007– 2008, Supplementary List) Polly Phipps, James W. Features Maxwell, and Colleen A. Rose 800 Guido Castelnuovo and Francesco Severi: Two Personalities, Two Letters Commentary Donald Babbitt and Judith Goodstein 797 Opinion: Congressional Testimony in Support of The authors present excerpts from letters to NSF Beniamino Segre from Francesco Severi and Guido James Glimm and Castelnuovo, and tell stories of these important math- Samuel M.