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Von Neumann : ウィキペディア英語版
John von Neumann

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John von Neumann (Hungarian: ''Neumann János'', ; December 28, 1903 – February 8, 1957) was a Hungarian-American pure and applied mathematician, physicist, inventor, and polymath. He made major contributions to a number of fields, including mathematics (foundations of mathematics, functional analysis, ergodic theory, geometry, topology, and numerical analysis), physics (quantum mechanics, hydrodynamics, fluid dynamics and quantum statistical mechanics), economics (game theory), computing (Von Neumann architecture, linear programming, self-replicating machines, stochastic computing), and statistics.〔Glimm, p. vii〕 He was a pioneer of the application of operator theory to quantum mechanics, in the development of functional analysis, a principal member of the Manhattan Project and the Institute for Advanced Study in Princeton (as one of the few originally appointed), 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's mathematical analysis of the structure of self-replication preceded the discovery of the structure of DNA. In a short list of facts about his life he submitted to the National Academy of Sciences, he stated "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. Also, my work on various forms of operator theory, Berlin 1930 and Princeton 1935–1939; on the ergodic theorem, Princeton, 1931–1932." Along with theoretical physicist Edward Teller and mathematician Stanislaw Ulam, von Neumann worked out key steps in the nuclear physics involved in thermonuclear reactions and the hydrogen bomb.
Von Neumann wrote 150 published papers in his life; 60 in pure mathematics, 20 in physics, and 60 in applied mathematics. His last work, an unfinished manuscript written while in the hospital and later published in book form as ''The Computer and the Brain'', gives an indication of the direction of his interests at the time of his death.
==Early life and education==
Von Neumann was born Neumann János Lajos ((:ˈnɒjmɒn ˈjaːnoʃ ˈlɒjoʃ); in Hungarian the family name comes first) Hebrew name Yonah, in Budapest, Austro-Hungarian Empire, to wealthy Jewish parents of the Haskalah.〔Doran, p. 1〕〔Myhrvold, Nathan (March 21, 1999) ("John von Neumann". ) ''Time''〕〔Blair, p. 104〕 He was the eldest of three brothers. His father, Neumann Miksa (Max Neumann) was a banker, who held a doctorate in law. He had moved to Budapest from Pécs at the end of the 1880s. Miksa's father (Mihály b. 1839)〔(【引用サイトリンク】url=http://www.geni.com/people/Mih%C3%A1ly-Neumann/6000000010710485708 )〕 and grandfather (Márton)〔 were both born in Ond (now part of the town of Szerencs), Zemplén County, northern Hungary. John's mother was Kann Margit (Margaret Kann) (1881–1956);〔MacRae, pp. 37–38〕 her parents were Jakab Kann II (Pest (now Budapest) 1845–1928) and Katalin Meisels (Munkács, Carpathian Ruthenia c. 1854–1914).
In 1913, his father was elevated to the nobility for his service to the Austro-Hungarian Empire by Emperor Francis Joseph. The Neumann family thus acquired the hereditary appellation ''Margittai'', meaning of Marghita. Neumann János became Margittai Neumann János (John Neumann of Marghita), which he later changed to the German Johann von Neumann.
He was an extraordinary child prodigy in the areas of language, memorization, and mathematics. As a 6-year-old, he could divide two 8-digit numbers in his head.〔Poundstone〕 By the age of 8, he was familiar with differential and integral calculus.
Von Neumann was part of a Budapest generation noted for intellectual achievement: he was born in Budapest around the same time as Theodore von Kármán (b. 1881), George de Hevesy (b. 1885), Leó Szilárd (b. 1898), Eugene Wigner (b. 1902), Edward Teller (b. 1908), and Paul Erdős (b. 1913).〔Doran, p. 2〕
John entered the Lutheran high school Fasori Evangelikus Gimnázium in Budapest in 1911. Although his father insisted he attend school at the grade level appropriate to his age, he agreed to hire private tutors to give him advanced instruction in those areas in which he had displayed an aptitude. At the age of 15, he began to study advanced calculus under the renowned analyst Gábor Szegő. On their first meeting, Szegő was so astounded with the boy's mathematical talent that he was brought to tears.〔Glimm, p. 5〕
Szegő subsequently visited the von Neumann house twice a week to tutor the child prodigy. Some of von Neumann's instant solutions to the problems in calculus posed by Szegő, sketched out with his father's stationery, are still on display at the von Neumann archive in Budapest.〔MacRae, p. 70〕 By the age of 19, von Neumann had published two major mathematical papers, the second of which gave the modern definition of ordinal numbers, which superseded Georg Cantor's definition.〔Nasar, Sylvia (2001) ''A Beautiful Mind''. London. p. 81. ISBN 0743224574.〕
He received his Ph.D. in mathematics (with minors in experimental physics and chemistry) from Pázmány Péter University in Budapest at the age of 22.〔 He simultaneously earned a diploma in chemical engineering from the ETH Zürich in Switzerland〔 at his father's request, who wanted his son to follow him into industry and therefore invest his time in a more financially useful endeavour than mathematics.

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