› › John Von Neumann Collected Works Vol 2 General

John von Neumann: Selected Letters

Author : Miklós Rédei

Publisher : American Mathematical Society, London Mathematical Society

Page : 301 pages

File Size : 25,27 MB

Release : 2022-02-23

Category : Mathematics

ISBN : 1470468638

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Book Description

John von Neuman was perhaps the most influential mathematician of the twentieth century, especially if his broad influence outside mathematics is included. Not only did he contribute to almost all branches of mathematics and created new fields, but he also changed post-World War II history with his work on the design of computers and with being a sought-after technical advisor to many figures in the U.S. military-political establishment in the 1940s and 1950s. The present volume is the first substantial collection of (previously mainly unpublished) letters written by von Neumann to colleagues, friends, government officials, and others. The letters give us a glimpse of the thinking of John von Neumann about mathematics, physics, computer science, science management, education, consulting, politics, and war. Readers of quite diverse backgrounds will find much of interest in this fascinating first-hand look at one of the towering figures of twentieth century science.



The Neumann Compendium

Author : John Von Neumann

Publisher : World Scientific

Page : 768 pages

File Size : 14,36 MB

Release : 1995

Category : Mathematics

ISBN : 9789810222017

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Book Description

After three decades since the first nearly complete edition of John von Neumann's papers, this book is a valuable selection of those papers and excerpts of his books that are most characteristic of his activity, and reveal that of his continuous influence.The results receiving the 1994 Nobel Prizes in economy deeply rooted in Neumann's game theory are only minor traces of his exceptionally broad spectrum of creativity and stimulation.The book is organized by the specific subjects-quantum mechanics, ergodic theory, operator algebra, hydrodynamics, economics, computers, science and society. In addition, one paper which was written in German will be translated and published in English for the first time.The sections are introduced by short explanatory notes with an emphasis on recent developments based on von Neumann's contributions. An overall picture is provided by Ulam's, one of his most intimate partners in thinking, 1958 memorial lecture. Facsimilae and translations of some of his personal letters and a newly completed bibliography based on von Neumann's own careful compilation are added.



The Legacy of John Von Neumann

Author : James G. Glimm

Publisher : American Mathematical Soc.

Page : 346 pages

File Size : 22,66 MB

Release : 2006-09-08

Category : Mathematics

ISBN : 9780821868164

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Book Description

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.



The Legacy of John von Neumann

Author : American Mathematical Society

Publisher : American Mathematical Soc.

Page : 346 pages

File Size : 46,79 MB

Release : 1990

Category : Mathematics

ISBN : 9780821842195

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Book Description

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.



Evolution of Engineering and Information Systems and Their Applications

Author : Lakhmi C. Jain

Publisher : CRC Press

Page : 334 pages

File Size : 30,35 MB

Release : 1999-09-24

Category : Computers

ISBN : 9780849319655

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Book Description

Worldwide interest in the applications of evolutionary computing techniques to the design of engineering and information systems grows each day. Pattern recognition, control systems, factory scheduling, automation, generation of computer programs, and the design of intelligent paradigms all benefit from evolutionary techniques-their potential applications indeed seem limited only by the imaginations of scientists and engineers. This is an area of intensive research and development, and evolutionary computing techniques are themselves constantly evolving. It becomes important, then, that computer scientists and applications engineers have a working knowledge of the techniques, stay abreast of recent advances, and have the opportunity to incorporate them into their own systems and designs. Evolution of Engineering and Information Systems and Their Applications fills this need by providing an overview of the field and offering state-of-the-art reviews of the most important techniques and applications of evolutionary computing. The top experts from around the world discuss developments in genetic algorithms, genetic programming, and evolutionary strategies and applications including VLSI CAD, robot sensors, neural networks, and fuzzy classification systems. This is a new and very hot field, yet there are few-if any-resources that document and disseminate its advances. With Evolution of Engineering and Information Systems and Their Applications, you have the opportunity to learn from the leading authorities, use these powerful techniques to improve your own systems, and help evolutionary computing reach its nearly boundless potential.



Inequalities: Theory of Majorization and Its Applications

Author : Albert W. Marshall

Publisher : Springer Science & Business Media

Page : 919 pages

File Size : 12,21 MB

Release : 2010-11-25

Category : Mathematics

ISBN : 0387682767

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Book Description

This book’s first edition has been widely cited by researchers in diverse fields. The following are excerpts from reviews. “Inequalities: Theory of Majorization and its Applications” merits strong praise. It is innovative, coherent, well written and, most importantly, a pleasure to read. ... This work is a valuable resource!” (Mathematical Reviews). “The authors ... present an extremely rich collection of inequalities in a remarkably coherent and unified approach. The book is a major work on inequalities, rich in content and original in organization.” (Siam Review). “The appearance of ... Inequalities in 1979 had a great impact on the mathematical sciences. By showing how a single concept unified a staggering amount of material from widely diverse disciplines–probability, geometry, statistics, operations research, etc.–this work was a revelation to those of us who had been trying to make sense of his own corner of this material.” (Linear Algebra and its Applications). This greatly expanded new edition includes recent research on stochastic, multivariate and group majorization, Lorenz order, and applications in physics and chemistry, in economics and political science, in matrix inequalities, and in probability and statistics. The reference list has almost doubled.



Philosophy of Mathematics

Author :

Publisher : Elsevier

Page : 735 pages

File Size : 47,22 MB

Release : 2009-07-08

Category : Philosophy

ISBN : 0080930581

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Book Description

One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of mathematics. Over the centuries a number of reasonably well-defined positions about the nature of mathematics have been developed and it is these positions (both historical and current) that are surveyed in the current volume. Traditional theories (Platonism, Aristotelianism, Kantianism), as well as dominant modern theories (logicism, formalism, constructivism, fictionalism, etc.), are all analyzed and evaluated. Leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) is also discussed. The result is a handbook that not only provides a comprehensive overview of recent developments but that also serves as an indispensable resource for anyone wanting to learn about current developments in the philosophy of mathematics.-Comprehensive coverage of all main theories in the philosophy of mathematics-Clearly written expositions of fundamental ideas and concepts-Definitive discussions by leading researchers in the field-Summaries of leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) are also included



Spectral Methods in Fluid Dynamics

Author : Claudio Canuto

Publisher : Springer Science & Business Media

Page : 582 pages

File Size : 45,86 MB

Release : 2012-12-06

Category : Science

ISBN : 3642841082

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Book Description

This is a book about spectral methods for partial differential equations: when to use them, how to implement them, and what can be learned from their of spectral methods has evolved rigorous theory. The computational side vigorously since the early 1970s, especially in computationally intensive of the more spectacular applications are applications in fluid dynamics. Some of the power of these discussed here, first in general terms as examples of the methods have been methods and later in great detail after the specifics covered. This book pays special attention to those algorithmic details which are essential to successful implementation of spectral methods. The focus is on algorithms for fluid dynamical problems in transition, turbulence, and aero dynamics. This book does not address specific applications in meteorology, partly because of the lack of experience of the authors in this field and partly because of the coverage provided by Haltiner and Williams (1980). The success of spectral methods in practical computations has led to an increasing interest in their theoretical aspects, especially since the mid-1970s. Although the theory does not yet cover the complete spectrum of applications, the analytical techniques which have been developed in recent years have facilitated the examination of an increasing number of problems of practical interest. In this book we present a unified theory of the mathematical analysis of spectral methods and apply it to many of the algorithms in current use.



The Turing Guide

Author : B. Jack Copeland

Publisher : Oxford University Press

Page : 563 pages

File Size : 14,87 MB

Release : 2017

Category : Biography & Autobiography

ISBN : 0198747829

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Book Description

Alan Turing has long proved a subject of fascination, but following the centenary of his birth in 2012, the code-breaker, computer pioneer, mathematician (and much more) has become even more celebrated with much media coverage, and several meetings, conferences and books raising public awareness of Turing's life and work. This volume will bring together contributions from some of the leading experts on Alan Turing to create a comprehensive guide to Turing that will serve as a useful resource for researchers in the area as well as the increasingly interested general reader. The book will cover aspects of Turing's life and the wide range of his intellectual activities, including mathematics, code-breaking, computer science, logic, artificial intelligence and mathematical biology, as well as his subsequent influence.