John von Neumann Book order

This book represents the views of one of the greatest mathematicians of the twentieth century on the analogies between computing machines and the living human brain. John von Neumann concludes that the brain operates in part digitally, in part analogically, but uses a peculiar statistical language unlike that employed in the operation of man-made computers. This edition includes a new foreword by two eminent figures in the fields of philosophy, neuroscience, and consciousness.

Focusing on the mathematical structure of quantum mechanics, John von Neumann presents a groundbreaking analysis that reshaped theoretical physics. He introduces Hermitean operators and Hilbert spaces, establishing a framework for transformation theory, which he considers the core of quantum mechanics. With rigorous mathematical treatment, he addresses key issues in quantum theory, including quantum statistical mechanics and measurement processes. This influential work remains essential for anyone exploring the foundational aspects of quantum mechanics.

This is the classic work upon which modern-day game theory is based. What began as a modest proposal that a mathematician and an economist write a short paper together blossomed, 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.