1999; 162 pp; hardcover ISBN10: 082180975X ISBN13: 9780821809754 List Price: US$38 Member Price: US$30.40 Order Code: PIM
 In celebration of Princeton University's 250th anniversary, the mathematics department held a conference entitled "Prospects in Mathematics". The purpose of the conference was to speculate on future directions of research in mathematics. This collection of articles provides a rich panorama of current mathematical activity in many research areas. From Gromov's lecture on quantitative differential topology to Witten's discussion of string theory, new ideas and techniques transfixed the audience of international mathematicians. The volume contains 11 articles by leading mathematicians, including historical presentations by J. Milnor and D. Spencer. It provides a guide to some of the most significant mathematical work of the past decade. Readership Graduate students, research mathematicians and physicists. Table of Contents  J. Milnor  Growing up in the Old Fine Hall
 D. Spencer  Old memories and an old problem
 J. Fröhlich  The electron is inexhaustible
 M. Gromov  Quantitative homotopy theory
 H. Iwaniec  Harmonic analysis in number theory
 D. McDuff  Symplectic topology and capacities
 M. Struwe  Evolution problems in geometry and mathematical physics
 E. Witten  Small instantons in string theory
 T. Wolff  Recent work connected with the Kakeya problem
