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.
Mathematical Foundations of Quantum Mechanics.
Koopman–von Neumann classical mechanics.