A two-track tour of Cauchy's Cours
arXiv:2107.00207
Abstract
Cauchy published his Cours d'Analyse 200 years ago. We analyze Cauchy's take on the concepts of rigor, continuity, and limit, and explore a pair of approaches in the literature to the meaning of his infinitesimal analysis and his sum theorem on the convergence of series of continuous functions.
12 pages, to appear in Mathematics Today of the Institute of Mathematics and its Applications