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Cauchy's Calcul infinitesimal = an a...

Cates, Dennis M.

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Cauchy's Calcul infinitesimal = an annotated English translation /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Cauchy's Calcul infinitesimal/ by Dennis M. Cates.
Reminder of title:	an annotated English translation /
remainder title:	Calcul infinitesimal
Author:	Cates, Dennis M.
Published:	Cham :Springer International Publishing : : 2019.,
Description:	xxiv, 267 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Calculus. -
Online resource:	https://doi.org/10.1007/978-3-030-11036-9
ISBN:	9783030110369

Cauchy's Calcul infinitesimal = an annotated English translation /
Cates, Dennis M.

Cauchy's Calcul infinitesimalan annotated English translation /[electronic resource] :Calcul infinitesimalby Dennis M. Cates. - Cham :Springer International Publishing :2019. - xxiv, 267 p. :ill., digital ;24 cm.

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 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.

ISBN: 9783030110369

Standard No.: 10.1007/978-3-030-11036-9doiSubjects--Personal Names:

3386962
Cauchy, Augustin Louis,
Baron,1789-1857.Subjects--Topical Terms:

517463
Calculus.

LC Class. No.: QA303.2

Dewey Class. No.: 515

Cauchy's Calcul infinitesimal = an annotated English translation /
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240 1 0 $a Resume des lecons donnees a l'Ecole royale polytechnique, sur le calcul infinitesimal. $p Tome 1. $l English
245 1 0 $a Cauchy's Calcul infinitesimal $h [electronic resource] : $b an annotated English translation / $c by Dennis M. Cates.
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260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a xxiv, 267 p. : $b ill., digital ; $c 24 cm.
520 $a 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 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.
600 1 0 $a Cauchy, Augustin Louis, $c Baron, $d 1789-1857. $3 3386962
650 0 $a Calculus. $3 517463
650 0 $a Geometry, Infinitesimal. $3 2153471
650 1 4 $a History of Mathematical Sciences. $3 1530523
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