Proceedings of Symposia in Pure Mathematics 1990; 334 pp; softcover Volume: 50 ISBN10: 0821842196 ISBN13: 9780821842195 List Price: US$45 Member Price: US$36 Order Code: PSPUM/50.S
 The ideas of John von Neumann have had a profound influence on modern mathematics and science. One of the great thinkers of our century, von Neumann initiated major branches of mathematicsfrom operator algebras to game theory to scientific computingand had a fundamental impact on such areas as selfadjoint operators, ergodic theory and the foundations of quantum mechanics, and numerical analysis and the design of the modern computer. This volume contains the proceedings of an AMS Symposium in Pure Mathematics, held at Hofstra University, in May 1988. The symposium brought together some of the foremost researchers in the wide range of areas in which von Neumann worked. These articles illustrate the sweep of von Neumann's ideas and thinking and document their influence on contemporary mathematics. In addition, some of those who knew von Neumann when he was alive have presented here personal reminiscences about him. This book is directed to those interested in operator theory, game theory, ergodic theory, and scientific computing, as well as to historians of mathematics and others having an interest in the contemporary history of the mathematical sciences. This book will give readers an appreciation for the workings of the mind of one of the mathematical giants of our time. Table of Contents  M. v. N. Whitman  John von Neumann: A personal view
 P. D. Lax  Remembering John von Neumann
 F. Ulam  Nonmathematical reminiscences about Johnny von Neumann
 I. Halperin  The extraordinary inspiration of John von Neumann
 N. A. Vonneuman  The philosophical legacy of John von Neumann, in light of its inception and evolution in his formative years
 G. W. Mackey  Von Neumann and the early days of ergodic theory
 D. S. Ornstein  Von Neumann and ergodic theory
 H. Furstenberg  Nonconventional ergodic averages
 F. J. Murray  The rings of operators papers
 R. V. Kadison  Operator algebrasAn overview
 A. Connes  Introduction à la géométrie noncommutative
 H. Araki  Some of the legacy of John von Neumann in physics: Theory of measurement, quantum logic, and von Neumann algebras in physics
 A. M. Jaffe  Mathematics motivated by physics
 I. E. Segal  The mathematical implications of fundamental physical principles
 H. H. Goldstine and J. v. Neumann  On the principles of large scale computing machines
 J. Glimm  Scientific computing: Von Neumann's vision, today's realities, and the promise of the future
 Z.S. She, E. Jackson, and S. A. Orszag  Intermittency of turbulence
 E. Clementi, S. Chin, G. Corongiu, J. Given, G. C. Lie, M. Migliore, and P. Procacci  Supercomputer simulations of the interaction of biomolecules in solution
 J. D. Cowan  Von Neumann and neural networks
 E. R. Berlekamp  Twoperson, perfectinformation games
 W. Aspray  The origins of John von Neumann's theory of automata
 N. Pippenger  Developments in "the synthesis of reliable organisms from unreliable components"
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