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On the hypotheses which lie at the bases of geometry

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	On the hypotheses which lie at the bases of geometry/ by Bernhard Riemann ; edited by Jurgen Jost.
作者:	Riemann, Bernhard.
其他作者:	Jost, Jurgen.
出版者:	Cham :Springer International Publishing : : 2016.,
面頁冊數:	x, 172 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Geometry. -
電子資源:	http://dx.doi.org/10.1007/978-3-319-26042-6
ISBN:	9783319260426

On the hypotheses which lie at the bases of geometry
Riemann, Bernhard.

On the hypotheses which lie at the bases of geometry[electronic resource] /by Bernhard Riemann ; edited by Jurgen Jost. - Cham :Springer International Publishing :2016. - x, 172 p. :ill., digital ;24 cm. - Classic texts in the sciences,2365-9963. - Classic texts in the sciences..

Introduction -- Historical background -- Riemann's habilitation -- Presentation of the texts -- Reception and impact on history -- Modern research -- Bibliography.

This book presents William Clifford's English translation of Bernhard Riemann's classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann's reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann's work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann's times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.

ISBN: 9783319260426

Standard No.: 10.1007/978-3-319-26042-6doiSubjects--Personal Names:

1108173
Riemann, Bernhard,
1826-1866.Subjects--Topical Terms:

579899
Geometry.

LC Class. No.: QA445

Dewey Class. No.: 516

On the hypotheses which lie at the bases of geometry
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520 $a This book presents William Clifford's English translation of Bernhard Riemann's classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann's reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann's work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann's times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.
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