Cauchy's Calcul Infinitésimal

This book is a complete English translation of Augustin-Louis Cauchy's historic 1823 text (his first devoted to calculus),  Résumé des le ç ons sur le calcul infinit é simal , "Summary of Lectures on the Infinitesimal Calculus," originally written to benefit his École Polytechnique students in Paris. Within this single text, Cauchy succinctly lays out and rigorously develops all of the topics one encounters in an introductory study of the calculus, from his classic