Cauchy's Calcul Infinitesimal : An Annotated English Translation EPUB
by Dennis M. Cates
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This book is a complete English translation of Augustin-Louis Cauchy's historic 1823 text (his first devoted to calculus), Resume des lecons sur le calcul infinitesimal, "Summary of Lectures on the Infinitesimal Calculus," originally written to benefit his Ecole 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 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.
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- Format:EPUB
- Publisher:Springer International Publishing
- Publication Date:03/04/2019
- Category:
- ISBN:9783030110369
Information
-
Download Now
- Format:EPUB
- Publisher:Springer International Publishing
- Publication Date:03/04/2019
- Category:
- ISBN:9783030110369