The Legacy of John Von Neumann

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  • Format: Paperback
  • Copyright: 2006-09-08
  • Publisher: Amer Mathematical Society

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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 mathematics--from operator algebras to game theory to scientific computing--and had a fundamental impact on such areas as self-adjoint 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

John von Neumann: A personal view
Remembering John von Neumann
Nonmathematical reminiscences about Johnny von Neumann
The extraordinary inspiration of John von Neumann
The philosophical legacy of John von Neumann, in light of its inception and evolution in his formative years
Von Neumann and the early days of ergodic theory
Von Neumann and ergodic theory
Nonconventional ergodic averages
The rings of operators papers
Operator algebras-An overview
Introduction a la geometrie non-commutative
Some of the legacy of John von Neumann in physics: Theory of measurement, quantum logic, and von Neumann algebras in physics
Mathematics motivated by physics
The mathematical implications of fundamental physical principles
On the principles of large scale computing machines
Scientific computing: Von Neumann's vision, today's realities, and the promise of the future
Intermittency of turbulence
Supercomputer simulations of the interaction of biomolecules in solution
Von Neumann and neural networks
Two-person, perfect-information games
The origins of John von Neumann's theory of automata
Developments in "the synthesis of reliable organisms from unreliable components"
Table of Contents provided by Publisher. All Rights Reserved.

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