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000754925 020__ $$a9783319260426$$q(electronic book)
000754925 020__ $$a3319260421$$q(electronic book)
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000754925 0247_ $$a10.1007/978-3-319-26042-6$$2doi
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000754925 049__ $$aISEA
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000754925 1001_ $$aRiemann, Bernhard,$$d1826-1866,$$eauthor.
000754925 24510 $$aOn the hypotheses which lie at the bases of geometry$$h[electronic resource] /$$cBernhard Riemann ; Jürgen Jost, editor.
000754925 264_1 $$aSwitzerland :$$bBirkhäuser,$$c2016.
000754925 300__ $$a1 online resource (x, 172 pages) :$$billustration.
000754925 336__ $$atext$$btxt$$2rdacontent
000754925 337__ $$acomputer$$bc$$2rdamedia
000754925 338__ $$aonline resource$$bcr$$2rdacarrier
000754925 4901_ $$aClassic texts in the sciences,$$x2365-9963
000754925 504__ $$aIncludes bibliographical references and index.
000754925 5050_ $$aIntroduction -- Historical background -- Riemann's habilitation -- Presentation of the texts -- Reception and impact on history -- Modern research -- Bibliography.
000754925 506__ $$aAccess limited to authorized users.
000754925 520__ $$aThis book presents William Clifford?s English translation of Bernhard Riemann?s classic text together with detailed mathematical, historical and philosophical commentary. The basic concepts and ideas, as well as their mathematical background, are provided, putting Riemann?s reasoning into the more general and systematic perspective achieved by later mathematicians and physicists (including Helmholtz, Ricci, Weyl, and Einstein) on the basis of his seminal ideas. Following a historical introduction that positions Riemann?s work in the context of his times, the history of the concept of space in philosophy, physics and mathematics is systematically presented. A subsequent chapter on the reception and influence of the text accompanies the reader from Riemann?s times to contemporary research. Not only mathematicians and historians of the mathematical sciences, but also readers from other disciplines or those with an interest in physics or philosophy will find this work both appealing and insightful.
000754925 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 27, 2016).
000754925 60010 $$aRiemann, Bernhard,$$d1826-1866.
000754925 650_0 $$aGeometry.
000754925 7001_ $$aJost, Jürgen,$$d1956-$$eeditor.
000754925 77608 $$iPrint version:$$z9783319260402
000754925 830_0 $$aClassic texts in the sciences.
000754925 852__ $$bebk
000754925 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-26042-6$$zOnline Access$$91397441.1
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000754925 980__ $$aBIB
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