Quantum mechanics was still in its infancy in 1932 when the young John von Neumann, who would go on to become one of the greatest mathematicians of the twentieth century, published Mathematical Foundations of Quantum Mechanics--a revolutionary book that for the first time provided a rigorous mathematical framework for the new science. Robert Beyer's 1955 English translation, which von Neumann reviewed and approved, is cited more frequently today than ever before. But its many treasures and insights were too often obscured by the limitations of the way the text and equations were set on the page. In this new edition of this classic work, mathematical physicist Nicholas Wheeler has completely reset the book in TeX, making the text and equations far easier to read. He has also corrected a handful of typographic errors, revised some sentences for clarity and readability, provided an index for the first time, and added prefatory remarks drawn from the writings of Leon Van Hove and Freeman Dyson. The result brings new life to an essential work in theoretical physics and mathematics.

This is the classic work upon which modern-day game theory is based. What began more than sixty years ago as a modest proposal that a mathematician and an economist write a short paper together blossomed, in 1944, when Princeton University Press published "Theory of Games and Economic Behavior." In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences.

This sixtieth anniversary edition includes not only the original text but also an introduction by Harold Kuhn, an afterword by Ariel Rubinstein, and reviews and articles on the book that appeared at the time of its original publication in the "New York Times," tthe "American Economic Review," and a variety of other publications. Together, these writings provide readers a matchless opportunity to more fully appreciate a work whose influence will yet resound for generations to come.

"The Computer and the Brain" war der Titel von John von Neumanns letzter hinterlassener Arbeit, in der er den wechselseitigen Beziehungen zwischen der Rechenmaschine und dem menschlichen Denk- und Nervensystem nachgeht. Diese Arbeit gibt ein zusammengefasstes Zeugnis seiner eindringlichen und unorthodoxen Denkweise. John von Neumann gilt heute als einer der Pioniere der modernen Rechentechnik."

Es gibt einige Bucher, die die naturwissenschaftliche Welt verandert haben: John von Neumanns Buch uber die Quantenmechanik gehoert dazu! Diese Studie war richtungsweisend fur Generationen von Mathematikern und Physikern und legte den Grundstein fur von Neumanns spatere weltberuhmte Arbeiten in den USA. Viele betrachten den Autor als den bedeutendsten Naturwissenschaftler dieses Jahrhunderts, Einstein ausgenommen. Seine mathematisch korrekte Beschreibung der Quantenphysik ist heute nicht nur historisch interessant, sondern als elementare Einfuhrung in die Grundbegriffe der Quantenmechanik auch inhaltlich immer noch aktuell.

"Mathematical Foundations of Quantum Mechanics" was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth century, shows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics. He begins by presenting the theory of Hermitean operators and Hilbert spaces. These provide the framework for transformation theory, which von Neumann regards as the definitive form of quantum mechanics. Using this theory, he attacks with mathematical rigor some of the general problems of quantum theory, such as quantum statistical mechanics as well as measurement processes. Regarded as a tour de force at the time of publication, this book is still indispensable for those interested in the fundamental issues of quantum mechanics.

First published in 1958, John von Neumann's classic work The Computer and the Brain explored the analogies between computing machines and the living human brain. Von Neumann showed that the brain operates both digitally and analogically, but also has its own unique statistical language. And more than fifty years after its inception the von Neumann architecture - an organizational framework for computer design - still lies at the heart of today's machines. In his foreword to this new edition, Ray Kurzweil, a futurist famous for his own musings on the relationship between technology and consciousness, places von Neumann's work in a historical context and shows how it remains relevant today.

Quantum mechanics was still in its infancy in 1932 when the young John von Neumann, who would go on to become one of the greatest mathematicians of the twentieth century, published Mathematical Foundations of Quantum Mechanics--a revolutionary book that for the first time provided a rigorous mathematical framework for the new science. Robert Beyer's 1955 English translation, which von Neumann reviewed and approved, is cited more frequently today than ever before. But its many treasures and insights were too often obscured by the limitations of the way the text and equations were set on the page. In this new edition of this classic work, mathematical physicist Nicholas Wheeler has completely reset the book in TeX, making the text and equations far easier to read. He has also corrected a handful of typographic errors, revised some sentences for clarity and readability, provided an index for the first time, and added prefatory remarks drawn from the writings of Léon Van Hove and Freeman Dyson. The result brings new life to an essential work in theoretical physics and mathematics.

Measures and integrals

Aus dem Geleitwort von R. Haag: "Es bleibt die Faszination eines grossen Wurfs und grossen Ideenreichtums."

Geometry of orthogonal spaces.

In his work on rings of operators in Hilbert space, John von Neumann discovered a new mathematical structure that resembled the lattice system "Ln." In characterizing its properties, von Neumann founded the field of continuous geometry.

This book, based on von Neumann's lecture notes, begins with the development of the axioms of continuous geometry, dimension theory, and--for the irreducible case--the function D(a). The properties of regular rings are then discussed, and a variety of results are presented for lattices that are continuous geometries, for which irreducibility is not assumed. For students and researchers interested in ring theory or projective geometries, this book is required reading.

2013 Reprint of 1958 Edition. Exact facsimile of the original edition, not reproduced with Optical Recognition Software. In 1947, Bethe Edited the Los Alamos Report "Blast Wave" Rept. LA-2000], one of his most cited works among shock physicists, which describes how a nuclear weapon blast wave develops over time and distant. This report also contains contributions by John von Neumann, John Magee, Klaus Fuchs and other prominent scientists. Reprints the expanded edition of 1958 with all supplements. Very rare in the original edition.