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Softcover ISBN:  9780821842195 
Product Code:  PSPUM/50.S 
List Price:  $139.00 
MAA Member Price:  $125.10 
AMS Member Price:  $111.20 
eBook ISBN:  9780821893463 
Product Code:  PSPUM/50.E 
List Price:  $135.00 
MAA Member Price:  $121.50 
AMS Member Price:  $108.00 
Softcover ISBN:  9780821842195 
eBook ISBN:  9780821893463 
Product Code:  PSPUM/50.S.B 
List Price:  $274.00 $206.50 
MAA Member Price:  $246.60 $185.85 
AMS Member Price:  $219.20 $165.20 

Book DetailsProceedings of Symposia in Pure MathematicsVolume: 50; 1990; 334 ppMSC: Primary 28; 46; 65; 76; 81; 00; Secondary 01
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 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

Articles

Marina v. N. Whitman — John von Neumann: A personal view [ MR 1067744 ]

Peter D. Lax — Remembering John von Neumann [ MR 1067745 ]

Françoise Ulam — Nonmathematical reminiscences about Johnny von Neumann [ MR 1067746 ]

Israel Halperin — The extraordinary inspiration of John von Neumann [ MR 1067747 ]

Nicholas Vonneuman — The philosophical legacy of John von Neumann, in the light of its inception and evolution in his formative years [ MR 1067748 ]

George W. Mackey — von Neumann and the early days of ergodic theory [ MR 1067749 ]

Donald S. Ornstein — von Neumann and ergodic theory [ MR 1067750 ]

Hillel Furstenberg — Nonconventional ergodic averages [ MR 1067751 ]

F. J. Murray — The rings of operators papers [ MR 1067752 ]

Richard V. Kadison — Operator algebras—an overview [ MR 1067753 ]

Alain Connes — Introduction à la géométrie noncommutative [ MR 1067754 ]

Huzihiro Araki — Some of the legacy of John von Neumann in physics: Theory of measurement, quantum logic, and von Neumann algebras in physics [ MR 1067755 ]

Arthur Jaffe — Mathematics motivated by physics [ MR 1067756 ]

I. E. Segal — The mathematical implications of fundamental physical principles [ MR 1067757 ]

Herman H. Goldstine and John von Neumann — On the principles of large scale computing machines [ MR 1067758 ]

James Glimm — Scientific computing: von Neumann’s vision, today’s realities, and the promise of the future [ MR 1067759 ]

ZhenSu She, Eric Jackson and Steven A. Orszag — Intermittency of turbulence [ MR 1067760 ]

E. Clementi, S. Chin, G Corongiu, J. Given, G. C Lie, M. Migliore and P. Procaci — Supercomputer simulations of the interaction of biomolecules in solution

Jack D. Cowan — von Neumann and neural networks [ MR 1067761 ]

Elwyn Berlekamp — Twoperson, perfectinformation games [ MR 1067762 ]

William Aspray — The origins of John von Neumann’s theory of automata [ MR 1067763 ]

Nicholas Pippenger — Developments in “The synthesis of reliable organisms from unreliable components” [ MR 1067764 ]


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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 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.

Articles

Marina v. N. Whitman — John von Neumann: A personal view [ MR 1067744 ]

Peter D. Lax — Remembering John von Neumann [ MR 1067745 ]

Françoise Ulam — Nonmathematical reminiscences about Johnny von Neumann [ MR 1067746 ]

Israel Halperin — The extraordinary inspiration of John von Neumann [ MR 1067747 ]

Nicholas Vonneuman — The philosophical legacy of John von Neumann, in the light of its inception and evolution in his formative years [ MR 1067748 ]

George W. Mackey — von Neumann and the early days of ergodic theory [ MR 1067749 ]

Donald S. Ornstein — von Neumann and ergodic theory [ MR 1067750 ]

Hillel Furstenberg — Nonconventional ergodic averages [ MR 1067751 ]

F. J. Murray — The rings of operators papers [ MR 1067752 ]

Richard V. Kadison — Operator algebras—an overview [ MR 1067753 ]

Alain Connes — Introduction à la géométrie noncommutative [ MR 1067754 ]

Huzihiro Araki — Some of the legacy of John von Neumann in physics: Theory of measurement, quantum logic, and von Neumann algebras in physics [ MR 1067755 ]

Arthur Jaffe — Mathematics motivated by physics [ MR 1067756 ]

I. E. Segal — The mathematical implications of fundamental physical principles [ MR 1067757 ]

Herman H. Goldstine and John von Neumann — On the principles of large scale computing machines [ MR 1067758 ]

James Glimm — Scientific computing: von Neumann’s vision, today’s realities, and the promise of the future [ MR 1067759 ]

ZhenSu She, Eric Jackson and Steven A. Orszag — Intermittency of turbulence [ MR 1067760 ]

E. Clementi, S. Chin, G Corongiu, J. Given, G. C Lie, M. Migliore and P. Procaci — Supercomputer simulations of the interaction of biomolecules in solution

Jack D. Cowan — von Neumann and neural networks [ MR 1067761 ]

Elwyn Berlekamp — Twoperson, perfectinformation games [ MR 1067762 ]

William Aspray — The origins of John von Neumann’s theory of automata [ MR 1067763 ]

Nicholas Pippenger — Developments in “The synthesis of reliable organisms from unreliable components” [ MR 1067764 ]