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Name:The Origins of Cauchy's Rigorous Calculus (DOVER)~tqw~_darksiderg

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INFO
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Title................: The Origins of Cauchy's Rigorous Calculus (DOVER)
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 15 MB
Torrent Hash.........: 6AD8D22BDAE6BDE4058601A29220E21477E1B20C
Posted by............: ~tqw~

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CONTENTS
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The Origins of Cauchy's Rigorous Calculus (DOVER)~tqw~_darksiderg preview 0
Synopsis:
This book explores the background of a major intellectual revolution: the
rigorous reinterpretation of the calculus undertaken by Augustin-Louis
Cauchy and his contemporaries in the first part of the 19th century. Their
generation changed the calculus from a method of solving problems to a
collection of theorems, based on precise definitions, about limits,
continuity, series, derivatives, and integrals. The book shows how Cauchy
reshaped inherited 18th-century concepts to create an approach to rigor that
we still accept today. In so doing, The Origins of Cauchy's Rigorous
Calculus provides fresh insights and a new perspective on the foundations of
analysis.

Table Of Contents:
Preface viii
Abbreviations of Titles x
Introduction 1
1 Cauchy and the Nineteenth-Century Revolution in Calculus 5
2 The Status of Foundations in Eighteenth-Century Calculus 16
3 The Algebraic Background of Cauchy's New Analysis 47
4 The Origins of the Basic Concepts of Cauchy's Analysis: Limit, Continuity,
Convergence 77
5 The Origins of Cauchy's Theory of the Derivative 114
6 The Origins of Cauchy's Theory of the Definite Integral 140
Conclusion 164
Appendix Translations from Cauchy's Oeuvres 167
Notes 176
References 225
Index 241

Product Details:
* Pub. Date: February 2005
* Publisher: Dover Publications
* Format: Paperback, 272pp
* ISBN-13: 9780486438153
* ISBN: 0486438155

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Greetz Fellow UL'ers
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