Physics in Riemann’s Mathematical Papers

Athanase Papadopoulos ()
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Athanase Papadopoulos: Université de Strasbourg and CNRS, Institut de Recherche Mathématique Avancée

A chapter in From Riemann to Differential Geometry and Relativity, 2017, pp 151-207 from Springer

Abstract: Abstract Riemann’s mathematical papers contain many ideas that arise in physics, and some of them are motivated by problems from physics. In fact, it is not easy to separate Riemann’s ideas in mathematics from there in physics. Furthermore, Riemann’s philosophical ideas are often in the background of his work on science. The aim of this chapter is to give an overview of Riemann’s mathematical results based on physical reasoning or motivated by physics. We also elaborate on the relation with philosophy. While we discuss some of Riemann’s philosophical points of view, we review some ideas on the same subjects emitted by Riemann’s predecessors, and in particular Greek philosophers, mainly the pre-socratics and Aristotle.

Keywords: Bernhard Riemann; Space; Riemannian geometry; Riemann surface; Trigonometric series; Electricity; Physics; 01-02; 01A55; 01A67 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-60039-0_6

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DOI: 10.1007/978-3-319-60039-0_6

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