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Centering around von Neumann's 1937 paper on the model of an expanding economy, this collection analyzes his versatility as a mathematician and his contribution to economics.The contributors include Kenneth Arrow, Lionello Punzo, Paul Samuelson, A. Brody, John Harsanyi, Sidney Afriat, Gerald Thompson, and Nicholas Kaldor. ... Read more

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John von Neumann (1903-1957) was undoubtedly one of thescientific geniuses of the 20th century. The main fields to which hecontributed include various disciplines of pure and appliedmathematics, mathematical and theoretical physics, logic, theoreticalcomputer science, and computer architecture. Von Neumann was alsoactively involved in politics and science management and he had amajor impact on US government decisions during, and especially after,the Second World War.
There exist several popular books on his personality and variouscollections focusing on his achievements in mathematics, computerscience, and economy. Strangely enough, to date no detailed appraisalof his seminal contributions to the mathematical foundations ofquantum physics has appeared. Von Neumann's theory of measurement andhis critique of hidden variables became the touchstone of most debatesin the foundations of quantum mechanics. Today, his name also figuresmost prominently in the mathematically rigorous branches ofcontemporary quantum mechanics of large systems and quantum fieldtheory. And finally - as one of his last lectures, published inthis volume for the first time, shows - he considered therelation of quantum logic and quantum mechanical probability as hismost important problem for the second half of the twentieth century.
The present volume embraces both historical and systematic analyses ofhis methodology of mathematical physics, and of the various aspects ofhis work in the foundations of quantum physics, such as theory ofmeasurement, quantum logic, and quantum mechanical entropy. The volumeis rounded off by previously unpublished letters and lecturesdocumenting von Neumann's thinking about quantum theory after his 1932Mathematical Foundations of Quantum Mechanics.
The general part of the Yearbook contains papers emerging fromthe Institute's annual lecture series and reviews of importantpublications of philosophy of science and its history. ... Read more

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Recent inroads in higher-dimensional nonlinear quantum field theory and in the global theory of relevant nonlinear wave equations have been accompanied by very interesting cognate developments. These developments include symplectic quantization theory on manifolds and in group representations, the operator algebraic implementation of quantum dynamics, and differential geometric, general relativistic, and purely algebraic aspects. Quantization and Nonlinear Wave Equations thus was highly appropriate as the theme for the first John von Neumann Symposium (June 1994) held at MIT. The symposium was intended to treat topics of emerging signifigance underlying future mathematical developments.

This book describes the outstanding recent progress in this important and challenging field and presents general background for the scientific context and specifics regarding key difficulties. Quantization is developed in the context of rigorous nonlinear quantum field theory in four dimensions and in connection with symplectic manifold theory and random Schrödinger operators. Nonlinear wave equations are exposed in relation to recent important progress in general relativity, in purely mathematical terms of microlocal analysis, and as represented by progress on the relativistic Boltzmann equation.

Most of the developments in this volume appear in book form for the first time. The resulting work is a concise and informative way to explore the field and the spectrum of methods available for its investigation. ... Read more

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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. ... Read more

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In 1940-1941 von Neumann lectured on invariant measures at the Institute for Advanced Study at Princeton. This book is essentially a written version of those lectures. The lectures began with general measure theory and went on to Haar measure and some of its generalizations. Shizuo Kakutani was at the Institute that year, and he and von Neumann had many conversations on the subject. The conversations revealed facts and produced proofs. Quite a bit of the content of the course, especially toward the end, was discovered a few weeks before it appeared on the blackboard. The original version of these notes was prepared by Paul Halmos, von Neumann's assistant that year. Von Neumann read the handwritten version before it went to the typist and sometimes scribbled comments on the margins; he rewrote most of Chapter 6. This book is the first published version of the original notes. ... Read more

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A biography of the man regarded as the greatest scientist since Einstein moves from the laboratory to the highest levels of government, showing how von Neumann's theories provided the building blocks for the modern computer, the atom bomb, radar, artificial intelligence, and more. ... Read more

Customer Reviews (3)

A Touching Masterpiece for all Scholars and even any Concerned Readers
As a prodigious reader of biographies--of all sorts, but mostly those of persons of science and mathematics (probably read about a hundred)--I feel qualified to say that this biography of John von Neumann is one of the greatest written biographies available today.While the previous reviewers are completely correct in that there is little detailed technical information, the book more than compensates for this in its other aspects.The book is filled with fantastic anecdotes regarding John von Neumann's eccentricities and his extraordinary displays of his unparalleled abilities at mental calculation, problem solving, and memorization.(He was able to memorize entire book chapters verbatim and recite them 15 years later.He could easily multiply two eight digit numbers in his head.And so on...)The few stories that aren't breathtaking are downright hilarious!They often show the jovial side (and sometimes licentious side) of this man, who was one of the single greatest minds of the past millenium.

I particularly recommend this book for all types of quantitative thinkers, or even scholars of any sort who wish to widen their purview of the world.Von Neumann helps to define what it means to be an exemplary scientist.Furthermore, he does a great job of showing the moral responsibilities and gentlemanly behavior required of men of his stature and fame.

In the historical domain, this biography necessarily beats out most others simply von Neumann was so intimately connected with some of the big scientific and political events of the 21st century (Hungarian education and WWI, Quantum Mechanics, the A-bomb and WWII, the Digital Computer, Intercontinental Ballistic Missiles and the Cold War, etc.).I once was talking with a professor about von Neumann, and at a certain point he seemed to think that I thought von Neumann's work was greater than Einstein's.I quicky corrected this.However, upon reflection,I now think that while no single theory of von Neumann's is greater than Einstein's General Relativity, when their work is considered and compared as a whole, von Neumann's entire work will probably have a greater impact on the world as time progresses.The computer, for one, has affected domains of science that Einstein's work doesn't touch.Game Theory and Meterology have similar more global effects.

I highly recommend this book for aspiring young scientists and students of any age.It is inspirational to see such a devoted and passionate man, and in my personal life, von Neumann's example has served as a source of considerable encouragement and as a lesson on the greatness of human potential.This book is the best place to encounter von Neumann's exemplary example.

A comprehensive, non-technical biography of von Neumann.
The major difficulty in writing a scientific biography of von Neumann is that it is impossible to do justice to his tremendous scientific achievements without going into technicalities that are not accessible forthe average reader. Macrae's book deliberately avoids discussingtechnicalities in detail, and while this makes it possible to give a veryreadable, comprehensive picture of von Neumann's life and its personality-- especially in context of the current socio-economic conditions --reading the book one cannot really understand and appreciate why he isregarded by the sharpest minds of this century as a true genius.

An important book about one of the century's major minds.
John Von Neumann's incredible contributions to a vast array of fields are often overlooked and he is identified strictly with respect to one or two (game theory, the computer, and the development of nuclear weapons). ButVon Neumman's contributions spawned such fields as mathematical economicsand artifical intelligence as well as many new kinds of mathematics.Theonly thing lacking in this book is more mathematical detail about his work. ... Read more

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This digital document is an article from Macmillan Reference USA Science Library: Computer Sciences, brought to you by Gale®, a part of Cengage Learning, a world leader in e-research and educational publishing for libraries, schools and businesses.The length of the article is 800 words.The article is delivered in HTML format and is available in your Amazon.com Digital Locker immediately after purchase.You can view it with any web browser.Reviews the history of the discipline and its concepts, and profiles contributors in the field. The impact of computers on society is explored, with examples in literature and film to illustrate and support trends. ... Read more

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This digital document, covering the life and work of John von Neumann, is an entry from Contemporary Authors, a reference volume published by Thompson Gale. The length of the entry is 1298 words. The page length listed above is based on a typical 300-word page. Although the exact content of each entry from this volume can vary, typical entries include the following information:

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Es gibt einige Bücher, die die naturwissenschaftliche Welt verändert haben: John von Neumanns Buch über die Quantenmechanik gehört dazu! Mit dieser richtungweisenden Studie legte er den Grundstein für seine späteren, weltberühmten Arbeiten in den USA.
Das Buch ist nicht nur von historischem Interesse, sondern kann immer noch als elementare Einführung in die Grundbegriffe der Quantenmechanik mit Gewinn studiert werden. Seine besondere Stärke ist die Verbindung zwischen physikalischer Idee und mathematischer Exaktheit. Ein Gewinn für jeden Leser aus den Bereichen Mathematik und Physik - schon ab dem vierten Semester. ... Read more

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This is Bulletin , Volume 64, Number 3, Part II, May 1958. A memorial to the late John von Neumann edited by J. C. Oxtoby, B. J. Pettis and E. B. Price. ... Read more

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Chapters: John Von Neumann, Enrico Fermi, Box-muller Transform, Josiah Willard Gibbs, Monte Carlo Method, Stanislaw Ulam, Inverse Transform Sampling, Metropolis-hastings Algorithm, Simulated Annealing, Metropolis Light Transport, Nassim Nicholas Taleb, Monte Carlo Methods in Finance, Ensemble Kalman Filter, Monte Carlo Integration, Resampling, Monte Carlo Method for Photon Transport, Particle Filter, Importance Sampling, Kinetic Monte Carlo, Renfrey Potts, Ensemble Forecasting, Markov Chain Monte Carlo, Monte Carlo Methods for Option Pricing, Nicholas Metropolis, Gillespie Algorithm, Cross-Entropy Method, Multiple-Try Metropolis, Equation of State Calculations by Fast Computing Machines, Event Generator, Auxiliary Field Monte Carlo, Coupling From the Past, Wang and Landau Algorithm, Parallel Tempering, Marsaglia Polar Method, Rejection Sampling, Quasi-Monte Carlo Method, Demon Algorithm, Antithetic Variates, Daniel Gillespie, Direct Simulation Monte Carlo, Variance Reduction, Umbrella Sampling, Athanasios Papoulis, Vegas Algorithm, Reversible Jump, Reverse Monte Carlo, Phelim Boyle, Monte Carlo Molecular Modeling, David B. Hertz, Dynamic Monte Carlo Method, Auxiliary Particle Filter, Monte Carlo Project, Control Variate, Boss, Wolff Algorithm, Swendsen-wang Algorithm. Source: Wikipedia. Pages: 295. Not illustrated. Free updates online. Purchase includes a free trial membership in the publisher's book club where you can select from more than a million books without charge. Excerpt: John von Neumann (December 28, 1903 February 8, 1957) was a Hungarian-American mathematician who made major contributions to a vast range of fields, including set theory, functional analysis, quantum mechanics, ergodic theory, continuous geometry, economics and game theory, computer science, numerical analysis, hydrodynamics (of explosions), and statistics, as well as many other mathematical fields. He is generally regarded as one of the greatest ma...More: http://booksllc.net/?id=15942 ... Read more

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Kapitel: John Forbes Nash Jr., Peter Singer, John Rawls, John Von Neumann, Kurt Gödel, Thomas Mann, Joschka Fischer, Hannah Arendt, Wolfgang Pauli, Toni Morrison, Joseph E. Stiglitz, Thomas S. Kuhn, Ralph Nader, Hermann Weyl, André Weil, Woodrow Wilson, Riccardo Giacconi, Alonzo Church, Chen Ning Yang, Owen Willans Richardson, Philip W. Anderson, Richard Bellman, Paul Krugman, Gerd Faltings, Albert Einstein, Donald Davidson, George F. Kennan, Andreas Alföldi, Haruki Murakami, Philip Roth, Hans Jonas, Henry de Wolf Smyth, Julian Jaynes, Rudolf Carnap, Hilary Putnam, Carl Ludwig Siegel, Richard Rorty, Ernst Herzfeld, Benjamin Breckinridge Warfield, Friedrich Hirzebruch, Michael Walzer, James Mark Baldwin, Erwin Panofsky, Martin Rudwick, Arno J. Mayer, Joyce Carol Oates, Soner Çağaptay, John Archibald Wheeler, Eugene Paul Wigner, Ernst Kantorowicz, Stephen Walt, Solomon Lefschetz, Armand Borel, Jacob Taubes, Ruth Klüger, Lewis Lockwood, Marlan Scully, Sanford Grossman, Atle Selberg, Emil Artin, Kenneth Burke, Werner Michael Blumenthal, Arne Beurling, Alexandre Koyré, Margarete Bieber, Ben Bernanke, Alexander Stephan, William J. Baumol, Peter Dinzelbacher, Andrew Wiles, Albert Otto Hirschman, Alexander Markowitsch Poljakow, Bruce Metzger, Harold James, David Gross, Manjul Bhargava, Peter Schäfer, Peter P. Kahane, Carl Gustav Hempel, Yves Bonnefoy, John Willard Milnor, Cornel West, Gerald Brown, Edmund White, Salomon Bochner, Yusef Komunyakaa, Edward Witten, Frederick Almgren, Elliott Lieb, Otto Kallscheuer, Abba Eban, Robert O. Keohane, Enrique Tierno Galván, Anthony Grafton, Peter Brown, Thomas Nagel, Joseph Wedderburn, Kodaira Kunihiko, Saul Aaron Kripke, Edward Tufte, Donald E. Stokes, Martin Kruskal, Nicolas Nabokov, Philippa Foot, James C. Fletcher, Peter Sarnak, Henry Fine, Frank Wilczek, Arthur Mcdonald, Oswald Veblen, Enrico Bombieri, Rosalind Krauss, Scott Soames, Alessandro Schiesaro, John Lighton Synge, John Emery Murdoch...http://booksllc.net/?l=de ... Read more