| 书目名称 | Cauchy‘s Calcul Infinitésimal | | 副标题 | An Annotated English | | 编辑 | Dennis M. Cates | | 视频video | http://file.papertrans.cn/223/222609/222609.mp4 | | 概述 | The first English translation of Résumé des leçons sur le calcul infinitésimal.Complete with annotations throughout.Allows wider audience to experience Cauchy‘s original, complete text on calculus.Pro | | 图书封面 |  | | 描述 | 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 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..This translation maintains the same notation and terminology of Cauchy‘s original work in the hope of delivering as honest and true a Cauchy experience as possible so that the modern reader can experie | | 出版日期 | Book 2019 | | 关键词 | Cauchy; Calculus; Infinitesimal Calculus; Cauchy‘s Cours d‘analyse; Historical Mathematics | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-11036-9 | | isbn_ebook | 978-3-030-11036-9 | | copyright | Springer Nature Switzerland AG 2019 |
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