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MARC 21

On the Hypotheses Which Lie at the Bases of Geometry
Tag Description
020$a9783319260426
082$a510.9
099$aOnline resource: Springer
100$aRiemann, Bernhard.$d1826-1866
245$aOn the Hypotheses Which Lie at the Bases of Geometry$h[EBook]$cby Bernhard Riemann ; edited by Jürgen Jost.
260$aCham$bBirkhäuser$c2016.
300$aX, 172 pages, 1 illus.$bonline resource.
336$atext
338$aonline resource
440$aClassic Texts in the Sciences,$x2365-9963
505$aIntroduction -- Historical background -- Riemann's habilitation -- Presentation of the texts -- Reception and impact on history -- Modern research -- Bibliography.
520$aThis book presents William Clifford’s English translation of Bernhard Riemann’s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann’s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann’s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann’s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.
538$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
700$aJost, Jürgen.$d1956-$eeditor.
710$aSpringerLink (Online service)
830$aClassic Texts in the Sciences,
856$uhttp://dx.doi.org/10.1007/978-3-319-26042-6
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