The Legacy of John von Neumann / James Glimm.

Format:

Book

Author/Creator:

Glimm, James, author.

Series:

Proceedings of symposia in pure mathematics, 50

Language:

English

Subjects (All):

Mathematicians--Biography.

Mathematicians.

Von Neumann, John, 1903-1957--Congresses.

Von Neumann, John.

Physical Description:

1 online resource (334 p.) ill

Place of Publication:

Providence, Rhode Island : American Mathematical Society, 2003

Summary:

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.

Contents:

John von Neumann : a personal view / Marina v. N. Whitman

Remembering John von Neumann / Peter D. Lax

Nonmathematical reminiscences about Johnny von Neumann / Françoise Ulam

The extraordinary inspiration of John von Neumann / Israel Halperin

The philosophical legacy of John von Neumann, in light of its inception and evolution in his formative years / Nicholas Vonneuman

Von Neumann and the early days of ergodic theory / George W. Mackey

Von Neumann and ergodic theory / Donald S. Ornstein

Nonconventional ergodic averages / Hillel Furstenberg

The rings of operators papers / F.J. Murray

Operator algebras

an overview / Richard V. Kadison

Introduction à la géométrie non-commutative / Alain Connes

Some of the legacy of John von Neumann in physics : theory of measurement, quantum logic, and von Neumann algebras in physics / Huzihiro Araki

Mathematics motivated by physics / Arthur Jaffe. (cont.) The mathematical implications of fundamental physical principles / I.E. Segal

On the principles of large scale computing machines / Herman H. Goldstine and John von Neumann

Scientific computing : Von Neumann's vision, today's realities, and the promise of the future / James Glimm

Intermittency of turbulence / Zhen-Su She, Eric Jackson, and Steven A. Orszag

Supercomputer simulations of the interaction of biomolecules in solution / Enrico Clementi [and others]

Von Neumann and neural networks / Jack D. Cowan

Two-person, perfect-information GAMES / Elwyn Berlekamp

The origins of John von Neumann's theory of automata / William Aspray

Developments in "The synthesis of reliable organisms from unrealiable components" / Nicholas Pippenger.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

0-8218-9346-7