Cauchy and Puiseux
two precursors of Riemann
pp. 209-235
in: Lizhen Ji, Athanase Papadopoulos, Sumio Yamada (eds), From Riemann to differential geometry and relativity, Berlin, Springer, 2017Abstrakt
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.