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Cauchy's Calcul Infinitésimal

An Annotated English Translation

Authors: Cates, Dennis M

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  • 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
  • Provides historical supplement to traditional calculus texts
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書籍の購入

イーブック ¥9,546
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-11036-9
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF, EPUB
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー ¥11,933
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-11035-2
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
この書籍について

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. 

著者について

Dennis Cates holds a Ph.D. degree in Mathematics from Arizona State University, as well as Engineering Physics and Electrical Engineering degrees from the University of California at Berkeley.

Table of contents (40 chapters)

Table of contents (40 chapters)
  • OF VARIABLES, THEIR LIMITS, AND INFINITELY SMALL QUANTITIES.

    Pages 3-6

    Cates, Dennis M.

  • OF CONTINUOUS AND DISCONTINUOUS FUNCTIONS. GEOMETRIC REPRESENTATION OF CONTINUOUS FUNCTIONS.

    Pages 7-10

    Cates, Dennis M.

  • DERIVATIVES OF FUNCTIONS OF A SINGLE VARIABLE.

    Pages 11-15

    Cates, Dennis M.

  • DIFFERENTIALS OF FUNCTIONS OF A SINGLE VARIABLE.

    Pages 17-20

    Cates, Dennis M.

  • THE DIFFERENTIAL OF THE SUM OF SEVERAL FUNCTIONS IS THE SUM OF THEIR DIFFERENTIALS. CONSEQUENCES OF THIS PRINCIPLE. DIFFERENTIALS OF IMAGINARY FUNCTIONS.

    Pages 21-25

    Cates, Dennis M.

書籍の購入

イーブック ¥9,546
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-11036-9
  • ウォーターマーク付、 DRMフリー
  • ファイル形式: PDF, EPUB
  • どの電子書籍リーダーからでもすぐにお読みいただけます。
  • ご購入後、すぐにダウンロードしていただけます。
ハードカバー ¥11,933
価格の適用国: Japan (日本円価格は個人のお客様のみ有効) (小計)
  • ISBN 978-3-030-11035-2
  • 個人のお客様には、世界中どこでも配送料無料でお届けします。
  • Usually dispatched within 3 to 5 business days.
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書誌情報

Bibliographic Information
Book Title
Cauchy's Calcul Infinitésimal
Book Subtitle
An Annotated English Translation
Authors
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
イーブック ISBN
978-3-030-11036-9
DOI
10.1007/978-3-030-11036-9
ハードカバー ISBN
978-3-030-11035-2
Edition Number
1
Number of Pages
XXIV, 267
Number of Illustrations
1 b/w illustrations
Topics