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.
@article{arxiv.2107.00207,
title = {A two-track tour of Cauchy's Cours},
author = {Mikhail G. Katz},
journal= {arXiv preprint arXiv:2107.00207},
year = {2021}
}
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12 pages, to appear in Mathematics Today of the Institute of Mathematics and its Applications