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Index
Abbreviations
Introduction
1 János Neumann’s Early Years
1.1 A Jewish family in early twentieth century Budapest
1.2 A young talent in Hungarian mathematics belle époque
1.3 Lights and shadows. The von Neumann generation
1.4 Student years in Germany
2 Von Neumann and the Mathematics of Göttingen
2.1 The Göttingen mathematicians
2.2 Hilbert’s mathematical optimism
2.3 The problems of the foundations of mathematics and the axiomatic approach
2.4 The axiomatization of quantum mechanics and functional spaces
2.5 A crucial contribution to game theory
3 A Mathematician Between Past and Future
3.1 Continuity and evolution in von Neumann’s thought
3.2 Axiomatics and the twentieth century renewal of mathematical practice
3.3 Von Neumann’s conception of mathematics
3.4 The language of mathematics and determinism
3.5 The world as a strategic game: a mathematical idea of rationality
4 Von Neumann in the United States
4.1 Princeton and the American mathematical community in the 1930s
4.2 A lucky migrant
4.3 Scientific commitment during World War II
4.4 From the Manhattan Project to the Atomic Energy Commission
4.5 Scientific research and national security during the Cold War
4.6 Freedom and limitations in the development of science and technology
4.7 Systems, information, control
4.8 Von Neumann’s final years: a very engaged expert and the time stealthily borrowed for the scientist’s projects
5 Beyond Mathematics: von Neumann’s Scientific Activity in the 1940s and 1950s
5.1 From rational economy to the axiomatization of economic behaviour
5.2 The theory of games: a new mathematics for the social sciences
5.3 Decisions, organization, operations research
5.4 Engineering and mathematics: the project of an electronic calculator
5.5 The use of computer in scientific research
5.6 The brain-computer analogy
Concluding Remarks: von Neumann and Twentieth Century Science
Chronology
Bibliography
Sources and scholarship on John von Neumann
John von Neumann’s published works and archived papers
Works by von Neumann mentioned in the book
General bibliography
Index of Names
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