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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...

Measures and integrals

Geometry of orthogonal spaces.

"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.

Updated and revised, Ethics: The Basics, Second Edition, introduces students to fundamental ethical concepts, principles, theories, and traditions while providing them with the conceptual tools necessary to think critically about ethical issues.

• Introduces students to core philosophical problems in ethics in a uniquely reader-friendly manner
• Lays out clearly and simply a rich collection of ethical concepts, principles, theories, and traditions that are prevalent in today's society
• Considers western and non-western viewpoints and religious...

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...