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In this classic work, one of the greatest mathematicians of the twentieth century explores the analogies between computing machines and the living human brain. John von Neumann, whose many contributions to science, mathematics, and engineering include the basic organizational framework at the heart of today's computers, concludes that the brain operates both digitally and analogically, but also has its own peculiar statistical language.

In his foreword to this new edition, Ray Kurzweil, a futurist famous in part for his own reflections on the relationship between technology and...

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...

Measures and integrals

"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 zusammengefates Zeugnis seiner eindringlichen und unorthodoxen Denkweise.

John von Neumann gilt heute als einer der Pioniere der modernen Rechentechnik.

Geometry of orthogonal spaces.

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...