Cauchy's Calcul infinitésimal : an annotated English translation / Dennis M. Cates.
2019
QA303 .C313 2019
Linked e-resources
Linked Resource
Online Access
Concurrent users
Unlimited
Authorized users
Authorized users
Document Delivery Supplied
Can lend chapters, not whole ebooks
Details
Title
Cauchy's Calcul infinitésimal : an annotated English translation / Dennis M. Cates.
Uniform Title
Résumé des leçons données a l'Ecole royale polytechnique, sur le calcul infinitésimal. Tome 1. English
ISBN
9783030110369 (electronic book)
3030110362 (electronic book)
3030110354
9783030110352
3030110362 (electronic book)
3030110354
9783030110352
Published
Cham, Switzerland : Springer, [2019]
Language
English
Language Note
Translated from French.
Description
1 online resource (265 pages)
Item Number
10.1007/978-3-030-11036-9 doi
Call Number
QA303 .C313 2019
Dewey Decimal Classification
515
Summary
This book is a complete English translation of Augustin-Louis 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. 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 experience his work as it may have been like 200 years ago. This book can be used with advantage today by anyone interested in the history of the calculus and analysis. In addition, it will serve as a particularly valuable supplement to a traditional calculus text for those readers who desire a way to create more texture in a conventional calculus class through the introduction of original historical sources.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file PDF
Available in Other Form
Cauchy's Calcul Infinitésimal : An Annotated English Translation
Linked Resources
Online Access
Record Appears in
Online Resources > Ebooks
All Resources
All Resources