About this book
Introduction
This book is a complete English translation of AugustinLouis Cauchy's historic 1823 text (his first devoted to calculus), Résumé des leçons sur le calcul infinitésimal, "Summary of Lectures on the Infinitesimal Calculus," originally written to benefit his École Polytechnic 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 definition of the limit to his detailed analysis of the convergence properties of infinite series. In between, the reader will find a full treatment of differential and integral calculus, including the main theorems of calculus and detailed methods of differentiating and integrating a wide variety of functions. Real, single variable calculus is the main focus of the text, but Cauchy spends ample time exploring the extension of his rigorous development to include functions of multiple variables as well as complex functions.
Keywords
Cauchy Calculus Infinitesimal Calculus Cauchy's Cours d'analyse Historical Mathematics
Bibliographic information
 Book Title Cauchy's Calcul Infinitésimal
 Book Subtitle An Annotated English Translation

Authors
Dennis M. Cates
 DOI https://doi.org/10.1007/9783030110369
 Copyright Information Springer Nature Switzerland AG 2019
 Publisher Name Springer, Cham
 eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
 Hardcover ISBN 9783030110352
 eBook ISBN 9783030110369
 Edition Number 1
 Number of Pages XXIV, 267
 Number of Illustrations 1 b/w illustrations, 0 illustrations in colour

Topics
History of Mathematical Sciences
Calculus
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 Industry Sectors
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Reviews
“This book is a very welcome contribution. I will be using it as a source for student readings in my history of mathematics classes.” (Fernando Q. Gouvêa, MAA Reviews, 19 May, 2019)