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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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http://images.barnesandnoble.com/images/12460000/12463987.jpg

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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       mazuki `jedi Flatline newartriot aXXo KingBen Paulx1 unisonband

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