Looking backward: From Euler to Riemann

We survey the main ideas in the early history of the subjects on which Riemann worked and that led to some of his most important discoveries. The subjects discussed include the theory of functions of a complex variable, elliptic and Abelian integrals, the hypergeometric series, the zeta function, topology, differential geometry, integration, and the notion of space. We shall see that among Riemann's predecessors in all these fields, one name occupies a prominent place, this is Leonhard Euler. The final version of this paper will appear in the book \emph{From Riemann to differential geometry and relativity} (L. Ji, A. Papadopoulos and S. Yamada, ed.) Berlin: Springer, 2017

Jean-Claude Pont, La topologie algébrique, des origines à Poincaré

Rosenfeld B. A., Youschkevitch Adolphe P. Jean-Claude Pont, La topologie algébrique, des origines à Poincaré . In: Revue d'histoire des sciences, tome 29, n°1, 1976. pp. 86-89

Jean-Claude Pont, La topologie algébrique, des origines à Poincaré

Rosenfeld B. A., Youschkevitch Adolphe P. Jean-Claude Pont, La topologie algébrique, des origines à Poincaré . In: Revue d'histoire des sciences, tome 29, n°1, 1976. pp. 86-89