Cauchy and Puiseux: Two Precursors of Riemann

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

A chapter in From Riemann to Differential Geometry and Relativity, 2017, pp 209-235 from Springer

Abstract: Abstract In this chapter, we review the works of CauchyCauchy, Augustin-Louis (1789–1857) and PuiseuxPuiseux, Victor-Alexandre (1820–1883) on the theory of functions of a complex variable that preceded Riemann’s introduction of what soon became known as Riemann surfaces. The work of the two French mathematicians (especially that of Puiseux) inaugurates a group-theoretic point of view which complements the topological one discovered by Riemann.

Keywords: Riemann surface; Algebraic function; Multi-valued function; Uniformization; Monodromy; 30F10; 30F20; 01A55 (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_7

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DOI: 10.1007/978-3-319-60039-0_7

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