Cauchy's Further Contributions to Mathematics: The Divergent Series and Cauchy's Wrong Theorem

Abstract

In this article we will first highlight Cauchy's contribution to divergent series: a contribution of fundamental importance for mathematics scholars of all time and then stop at the concept as an incomplete result of Cauchy with respect to the hypotheses relating to the continuity of the sum of a series of functions. Although he was not the only seller, this erroneous result remained famous. It is referred to as Cauchy's incomplete theorem.