Oskar Morgenstern

John von Neumann

First published in 1944, this book, co-written by an economist & a mathematician, conceived a groundbreaking theory of economic & social organisation based on a theory of games of strategy. The result was a revolution in economics & game theory has since emerged as a major tool of analysis in many other fields.

Theory of Games and Economic Behavior (Commemorative Edition)

Theory Of Self Reproducing Automata

Computer e cervello

The Geometry of Orthogonal Spaces. (AM-22)

Functional Operators (AM-22), Volume 2

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.

New Edition

Mathematical Foundations of Quantum Mechanics

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.

Continuous Geometry

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.

"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.

John von Neumann

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