Mathematics: Frontiers and Perspectives

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V. I. Arnold, International Mathematical Union
American Mathematical Soc., 2000 - Mathematics - 459 pages
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This remarkable book is a celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the volume was born as part of the activities observing the World Mathematical Year 2000. The volume consists of 30 articles written by some of the most influential mathematicians of our time. Authors of 15 contributions were recognized in various years by the IMU as recipients of the Fields Medal, from K. F. Roth (Fields Medalist, 1958) to W. T. Gowers (Fields Medalist, 1998). The articles offer valuable reflections about the amazing mathematical progress we have witnessed in this century and insightful speculations about the possible development of mathematics over the next century. Some articles formulate important problems, challenging future mathematicians. Others pay explicit homage to the famous set of Hilbert Problems posed one hundred years ago, giving enlightening commentary. Yet other papers offer a deeply personal perspective, allowing singular insight into the minds and hearts of people doing mathematics today. Mathematics: Frontiers and Perspectives is a unique volume that pertains to a broad mathematical audience of various backgrounds and levels of interest. It offers readers true and unequaled insight into the wonderful world of mathematics at this important juncture: the turn of the millennium. The work is one of those rare volumes that can be browsed, and if you do simply browse through it, you get a wonderful sense of mathematics today. Yet it also can be intensely studied on a detailed technical level for gaining insight into some of the great problems on which mathematicians are currently working. Editors Michael Atiyah and Peter Lax were winners of the famous Abel Prize awarded by The Norwegian Academy of Science and Letters for outstanding work in mathematics.
  

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User Review  - fpagan - LibraryThing

29 expert takes on the state of mathematics at the turn of the millennium, many of them impenetrably technical but some readable by me. Read full review

Contents

II
1
III
13
IV
33
V
35
VI
55
VII
65
VIII
79
IX
93
XVII
197
XVIII
219
XIX
235
XX
251
XXI
261
XXII
271
XXIII
295
XXIV
321

X
117
XI
121
XII
137
XIII
153
XIV
161
XV
175
XVI
189
XXV
329
XXVI
343
XXVII
353
XXVIII
403
XXIX
417
XXX
433
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