About von Neumann?

John von neumann, a Hungarian-born American Jewish mathematician, is an important founder of modern electronic computer and game theory. He has made great contributions in functional analysis, ergodic theory, geometry, topology, numerical analysis and other mathematical fields, as well as computer science, quantum mechanics, economics and other fields.

Von Neumann was famous for his extraordinary intelligence and memory since he was a child. Von Neumann published about 150 papers in his life, including 60 pure mathematics papers, 20 physics papers and 60 applied mathematics papers. His last work was an unfinished manuscript in the hospital, which was later published under the title of Computer and Human Brain, showing his interest in the last few days of his life.

Extended data

Academic achievements:

1, ergodic theory

Ergodic theory mainly involves dynamic systems and invariant measures. From 65438 to 0932, von Neumann published a series of papers on ergodicity, which contributed to the theoretical basis of ergodicity. [3] paul halmos pointed out in an ergodic article in 1932 that "if von Neumann has no achievements in other fields, these are enough to make him leave an immortal name in the history of mathematics".

2. Operator theory

Von Neumann put forward the concept of "operator ring" in Von Neumann algebra. Von Neumann algebra is a kind of star algebra with bounded operators defined in Hilbert space, which is similar to weak operator topology and contains unit operators. Von Neumann's double commutators theorem named after him shows that the analytic definition of closure in weak operator topology will be equivalent to the pure algebraic definition of the set composed of its double commutators.

Baidu Encyclopedia-Von Neumann