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Also, my work on various forms of operator theory, Berlin 1930 and Princeton 1935–1939 on the ergodic theorem, Princeton, 1931–1932.' ĭuring World War II, von Neumann worked on the Manhattan Project with theoretical physicist Edward Teller, mathematician Stanislaw Ulam and others, problem-solving key steps in the nuclear physics involved in thermonuclear reactions and the hydrogen bomb.

In a shortlist of facts about his life he submitted to the National Academy of Sciences, he wrote, 'The part of my work I consider most essential is that on quantum mechanics, which developed in Göttingen in 1926, and subsequently in Berlin in 1927–1929. His analysis of the structure of self-replication preceded the discovery of the structure of DNA. His last work, an unfinished manuscript written while he was dying, was later published in book form as The Computer and the Brain. Von Neumann published over 150 papers: about 60 in pure mathematics, 60 in applied mathematics, 20 in physics, and the remainder on special mathematical subjects or non-mathematical subjects. He was a pioneer of the application of operator theory to quantum mechanics in the development of functional analysis, and a key figure in the development of game theory and the concepts of cellular automata, the universal constructor and the digital computer. Von Neumann made major contributions to many fields, including mathematics ( mathematical logic, measure theory, functional analysis, ergodic theory, group theory, lattice theory, representation theory, operator algebras, matrix theory, geometry, and numerical analysis), physics ( quantum mechanics, hydrodynamics & ballistics, nuclear physics and quantum statistical mechanics), economics ( game theory and general equilibrium theory), computing ( Von Neumann architecture, linear programming, numerical meteorology, scientific computing, self-replicating machines, stochastic computing), and statistics. He was regarded as having perhaps the widest coverage of any mathematician of his time and was said to have been 'the last representative of the great mathematicians who were equally at home in both pure and applied mathematics'. John von Neumann ( / v ɒ n ˈ n ɔɪ m ən/ von NOY-mən Hungarian: Neumann János Lajos December 28, 1903 – February 8, 1957) was a Hungarian-American mathematician, physicist, computer scientist, engineer and polymath.

Von Neumann–Morgenstern utility theorem.Mathematical Foundations of Quantum Mechanics.Koopman–von Neumann classical mechanics.

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