Riemann on Geometry, Physics, and Philosophy—Some Remarks

Jeremy Gray ()
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Jeremy Gray: Mathematics Institute, Open University and University of Warwick

A chapter in From Riemann to Differential Geometry and Relativity, 2017, pp 97-110 from Springer

Abstract: Abstract Riemann’s paper ‘On the hypotheses that lie at the foundations of geometry’ is one of the fundamental papers in the creation of modern geometry. We analyse its content, look at the influence the work of Gauss and Herbart exercised on Riemann, and discuss other of Riemann’s papers that shed light on his ideas, in particular on his appreciation of the concept of curvature.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-60039-0_2

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DOI: 10.1007/978-3-319-60039-0_2

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