期刊全称 | Bernhard Riemann 1826–1866 | 期刊简称 | Turning Points in th | 影响因子2023 | Detlef Laugwitz | 视频video | | 发行地址 | Presents the work of Bernhard Riemann from a historical perspective.Discusses the impact of Riemann‘s work on later math, physics, and philosophy.Examines the philosophy of Riemannian thought | 学科分类 | Modern Birkhäuser Classics | 图书封面 |  | 影响因子 | .The name of Bernard Riemann is well known to mathematicians and physicists around the world. College students encounter the Riemann integral early in their studies. Real and complex function theories are founded on Riemann’s work. Einstein’s theory of gravitation would be unthinkable without Riemannian geometry. In number theory, Riemann’s famous conjecture stands as one of the classic challenges to the best mathematical minds and continues to stimulate deep mathematical research. The name is indelibly stamped on the literature of mathematics and physics...This book, originally written in German and presented here in an English-language translation, examines Riemann’s scientific work from a single unifying perspective. Laugwitz describes Riemann’s development of a conceptual approach to mathematics at a time when conventional algorithmic thinking dictated that formulas and figures, rigid constructs, and transformations of terms were the only legitimate means of studying mathematical objects. David Hilbert gave prominence to the Riemannian principle of utilizing thought, not calculation, to achieve proofs. Hermann Weyl interpreted the Riemann principle — for mathematics and physics | Pindex | Book 1999 |
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