Introduction to von Neumann?

John von Neumann was an American Jewish mathematician born in Hungary. He is an important founder of modern electronic computers and game theory. He is an important figure in functional analysis, ergodic theory, geometry, topology and numerical values. He has made significant contributions to many mathematical fields such as analysis, computer science, quantum mechanics and economics.

Von Neumann has been known for his extraordinary intelligence and memory since he was a child. Von Neumann published approximately 150 papers during his lifetime, including 60 papers in pure mathematics, 20 papers in physics, and 60 papers in applied mathematics. His last work was an unfinished manuscript in the hospital, which was later published under the title "Computers and the Human Brain", reflecting the direction of his interests in the last years of his life.

Extended information

Academic achievements:

1. Ergodic theory

Ergodic theory mainly involves dynamic systems and invariant measures. In 1932, von Neumann published a series of papers on ergodic theory, which contributed to the theoretical foundation of ergodic theory. [3] Paul Halmos pointed out in an article on ergodic theory in 1932 that "even if von Neumann had no achievements in other fields, these alone would be enough for him to leave an immortal name in the history of mathematics."

2. Operator theory

Von Neumann proposed the concept of "operator ring" in "Von Neumann Algebra". Von Neumann algebra is a star algebra of bounded operators defined in Hilbert space, which is approximate to weak operator topology and contains identity operators. The von Neumann double commutative element theorem named after him shows that the analytical definition of closure in weak operator topology is equivalent to the purely algebraic definition of the set of its double commutative elements.

Baidu Encyclopedia-Von Neumann