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(2017) From Riemann to differential geometry and relativity, Dordrecht, Springer.
In this chapter, we review the works of Cauchy and Puiseux 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.
Publication details
DOI: 10.1007/978-3-319-60039-0_7
Full citation:
Papadopoulos, A. (2017)., Cauchy and Puiseux: two precursors of Riemann, in L. Ji, A. Papadopoulos & S. Yamada (eds.), From Riemann to differential geometry and relativity, Dordrecht, Springer, pp. 209-235.
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