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Titlebook: Bernhard Riemann 1826–1866; Turning Points in th Detlef Laugwitz Book 1999 Springer Science+Business Media New York 1999 Calculation.Finite

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发表于 2025-3-21 19:09:42 | 显示全部楼层 |阅读模式
期刊全称Bernhard Riemann 1826–1866
期刊简称Turning Points in th
影响因子2023Detlef Laugwitz
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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Titlebook: Bernhard Riemann 1826–1866; Turning Points in th Detlef Laugwitz Book 1999 Springer Science+Business Media New York 1999 Calculation.Finite
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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发表于 2025-3-21 21:50:27 | 显示全部楼层
Introduction,ne of 1862 he married Elise Koch, a friend of his sisters. Always in poor health, he spent a large part of the years that followed in Italy. His only daughter, Ida, was born there. In 1866, in the first days of the war with Prussia, he again decided to go south. He died on 20 July 1866 in Selasca on Lago Maggiore.
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Turning Points in the Conception of Mathematics,des others, that almost every situation in the history of mathematics that was sensed to have been critical, every situation followed by changes viewed as radical, should be regarded as indicating a revolution. Gillies goes so far as to speak of a Crowe-Dauben debate.
发表于 2025-3-22 14:40:56 | 显示全部楼层
2197-1803 sophy.Examines the philosophy of Riemannian thought.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
发表于 2025-3-22 21:02:35 | 显示全部楼层
https://doi.org/10.1007/978-3-319-11409-5ablishment of the complex numbers were tacked on to complex function theory much later, and impressive results involving complex integration were obtained before the need arose for a justification of complex differentiation. The historical evolution of complex analysis was different from the genetic construction we feel tempted to make up today.
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https://doi.org/10.1007/978-3-663-10649-4des others, that almost every situation in the history of mathematics that was sensed to have been critical, every situation followed by changes viewed as radical, should be regarded as indicating a revolution. Gillies goes so far as to speak of a Crowe-Dauben debate.
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