INDEX TO VOLUME 39 (2002) BULLETIN ARTICLES 3aez John C The octontons, 145 Cucker, Felipe and Smale, Steve. On the mathematical foundations of learning, 1 Ekeland, Ivar and Ghoussoub, Nassif. Selected new aspects of the calculus of variations in the Large 207 Fulman, Jason Random matriz theory over finite fields, 51 Gardner, R. J The Brunn-Minkowski inequality, 355 Ghoussoub, Nassif See Ekeland, Ivar Ilyashenko, Yu Centennial History of Hilbert’s 16th Problem, 301 Kore Vaal J 4 ce ntury of comple I Taube T7an theory 4175 Rubin, Karl and Silverberg, Alice Ranks of elliptic curves, 455 Silverberg, Alice See Rubin, Karl Smale, Steve See Cucker, Felipe Zong, Chuanming From deep holes to free planes BOOK REVIEWS Adams, Scot Erratum to “Dynamical systems and sem simple groups, an introduction” sallmann, W Lectures on spaces of nonpositive curvature, reviewed by Bruce Kleiner, Ben-Zvi, David. See Frenkel, Edward Bridson, Martin R. and Haefliger, André. Metric spaces of non-positive curvature, reviewed by 3ruce Kleiner, 273 Chavel, Isaac Isoperimetric inequalities: Differential geometric and analytic perspectives, re- viewed by Robert Brooks, 581 Chung, Kai Lai and Zhao, Zhongxin From Brownian motion to Schrodinger’s equation, reviewed by Michael Cranston, 109 Crandall, Richard and PomeranceC,ar l. Prime numbers: A computational perspective, reviewed by Jeremy Teitelbaum, 449 Eberlein, Patrick B Geometry of nonpositively curved manifolds, reviewed by Bruce Kleiner, 27/29 Fauvel, John; Flood, Raymond; and Wilson, Robin (eds Ozford figures: 800 years of the mathematical sciences, reviewed by Adrian Rice, 425 Feres, Renato Dynamical systems and semisimple groups, an introduction, reviewed by Scot Adams, 415 Flood, Raymond. See Fauvel, John Frenkel, Edward and Ben-Zvi, David Vertex algebras and algebraic ct , reviewed by Yi-Zhi Huang, 585 Friedlander, Eric M. See Voevodsky, Vladimir Geck, Meinolf and Pfeiffer, Gotz Characters of finite Coxeter groups and Iwahori-Hecke alge bras, reviewed by Roger W. Carter, 267 Haefliger, André. See Bridson, Martin R. Hartshorne, Robin. Geometry: Euclid and beyond, reviewed by David W. Henderson, 563 Hauser, H.; Lipman, J.; Oort, F.; and Quirés, A. (eds.) {iterations and resolution of singulari ties, reviewed by Fedor Bogomolov and Yuri Tschinkel, 95 Hedenmalm, Haakan; Korenblum, Boris; and Zhu, Kehe Theory of Bergman spaces, reviewed by Stefan Richter, 121 Konyagin, S. and Shparlinski, 1. Character sums with exponential functions and their applica- tions, reviewed by W. Duke, 293 Korenblum, Boris. See Hedenmalm, Haakan Lipman, J. See Hauser, H Lubotzky, Alexander. Erratum to “New horizons in pro-p groups”, 299 Neeb, Karl-Hermann. Holomorphy and convezity in Lie theory, reviewed by Bent Orsted, 287 Neukirch, Jiirgen; Schmidt, Alexander; and Wingberg, Kay Cohomology of number fields, re- viewed by Fernando Q Gouvéa, 101 Oort, F See Hauser, H Perrin-Riou, Bernadette. p-Adic L-functions and p-adic representations, reviewed by Karl Ru- bin, 557 ontemporary mathematical logue Thomas chard reviewed by Hiroyuki Yoshida, Toshikazu Sunada