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The Legacy of John von Neumann
 
Edited by: John Impagliazzo Hofstra University, Hempstead, NY
James Glimm State University of New York at Stony Brook, Stony Brook, NY
Isadore Singer Massachusetts Institute of Technology, Cambridge, MA
The Legacy of John von Neumann
Softcover ISBN:  978-0-8218-4219-5
Product Code:  PSPUM/50.S
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9346-3
Product Code:  PSPUM/50.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Softcover ISBN:  978-0-8218-4219-5
eBook: ISBN:  978-0-8218-9346-3
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
The Legacy of John von Neumann
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The Legacy of John von Neumann
Edited by: John Impagliazzo Hofstra University, Hempstead, NY
James Glimm State University of New York at Stony Brook, Stony Brook, NY
Isadore Singer Massachusetts Institute of Technology, Cambridge, MA
Softcover ISBN:  978-0-8218-4219-5
Product Code:  PSPUM/50.S
List Price: $139.00
MAA Member Price: $125.10
AMS Member Price: $111.20
eBook ISBN:  978-0-8218-9346-3
Product Code:  PSPUM/50.E
List Price: $135.00
MAA Member Price: $121.50
AMS Member Price: $108.00
Softcover ISBN:  978-0-8218-4219-5
eBook ISBN:  978-0-8218-9346-3
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 Details
     
     
    Proceedings of Symposia in Pure Mathematics
    Volume: 501990; 334 pp
    MSC: 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 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
     
     
    • 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 non-commutative [ 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 ]
    • Zhen-Su 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 — Two-person, perfect-information 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 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 501990; 334 pp
MSC: 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 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.

  • 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 non-commutative [ 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 ]
  • Zhen-Su 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 — Two-person, perfect-information 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 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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