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The origins of Cauchy's rigorous calculus

Author: Judith V Grabiner
Publisher: Cambridge, Mass. : MIT Press, ©1981.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: History
Additional Physical Format: Online version:
Grabiner, Judith V.
Origins of Cauchy's rigorous calculus.
Cambridge, Mass. : MIT Press, ©1981
(OCoLC)622882474
Named Person: Augustin Louis Cauchy, Baron; Augustin Louis Cauchy, baron; Augustin Louis Cauchy, Baron
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Judith V Grabiner
ISBN: 0262070790 9780262070799 0387905278 9780387905273
OCLC Number: 7173924
Description: 252 pages ; 24 cm
Contents: Cauchy and the nineteenth-century revolution in calculus --
The status of foundations in eighteenth-century calculus --
The algebraic background of Cauchy's new analysis --
The origins of the basic concepts of Cauchy's analysis: limit, continuity, convergence --
The origins of Cauchy's theory of the derivative --
The origins of Cauchy's theory of the definite integral --
Appendix: Translations from Cauchy's Oeuvres.
Responsibility: Judith V. Grabiner.

Abstract:

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.

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