萍踪浪迹
发表文章数: 1983
武功等级: 深不可测
内力值: 645/645
（zz ）Hermann Weyl
Hermann Weyl
born November 9, 1885, Elmshorn, near Hamburg, Germany
died December 8, 1955, Zürich, Switzerland
German American mathematician who, through his widely varied contributions in mathematics, served as a link between pure mathematics and theoretical physics, in particular adding enormously to quantum mechanics and the theory of relativity.
As a student at the University of Göttingen (graduated 1908), Weyl came under the influence of David Hilbert. In 1913 he became professor of mathematics at the Technische Hochschule, Zürich, where he was a colleague of Albert Einstein. The outstanding characteristic of Weyl's work was his ability to unite previously unrelated subjects. In Die Idee der Riemannschen Fläche (1913; The Concept of a Riemann Surface), he created a new branch of mathematics by uniting function theory and geometry and thereby opening up the modern synoptic view of analysis, geometry, and topology.
The outgrowth of a course of lectures on relativity, Weyl's Raum, Zeit, Materie (1918; “Space, Time, Matter”) reveals his keen interest in philosophy and embodies the bulk of his findings on relativity. He produced the first unified field theory for which Maxwell's equations of electromagnetic fields and the gravitational field appear as geometric properties of space-time. The influence of these studies on differential geometry is exemplified best by his treatment of the Italian mathematician Tullio Levi-Civita's concept of parallel displacement of a vector. Weyl freed the concept from dependence on a Riemann metric and thus set the stage for the rapid development of projective differential geometry by Oswald Veblen of the United States and by others.
From 1923 to 1938 Weyl evolved a general theory of continuous groups, using matrix representation. He found that most of the regularities of quantum phenomena on the atomic level can be most simply understood by using group theory. With the findings published in Gruppentheorie und Quantenmechanik (1928; “Group Theory and Quantum Mechanics”), Weyl helped mold modern quantum theory.
Weyl was appointed professor of mathematics at the University of Göttingen in 1930. The Nazi dismissal of many of his colleagues prompted him to leave Germany in 1933 and accept a position at the Institute for Advanced Study, Princeton, New Jersey; he became a U.S. citizen in 1939. After his retirement in 1955, Weyl remained professor emeritus of the institute and divided his time between Princeton and Zürich.
漫漫长夜不知晓 日落云寒苦终宵
痴心未悟拈花笑 梦魂飞度同心桥
| 发表时间：2006-02-06, 20:17:01 |
 作者资料
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萍踪浪迹
发表文章数: 1983
武功等级: 深不可测
内力值: 645/645
Re: （zz ）Hermann Weyl
Hermann Weyl's work in mathematics served as a link between pure mathematics and theoretical physics, in particular adding to quantum mechanics and the theory of relativity. From 1913 to 1930 he served as professor of mathematics at the Technische Hochschule in Zürich, where he was a colleague of Albert Einstein. He later taught at the University of Göttingen (1930–33) and the Institute for Advanced Study, Princeton, N.J. (1933–51). He contributed to the development of differential geometry, the theory of continuous groups, and the philosophy of mathematics.
漫漫长夜不知晓 日落云寒苦终宵
痴心未悟拈花笑 梦魂飞度同心桥
| 发表时间：2006-02-06, 20:18:39 |
作者资料
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