Origins Of Cauchy's Rigorous Calculus

Grabiner, Judith V.

ISBN 10: 0486438155 / ISBN 13: 9780486438153

Published by Dover Publications, 2011

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Bibliographic Details

• Title: Origins Of Cauchy's Rigorous Calculus
• Publisher: Dover Publications
• Publication Date: 2011
• Language: English
• ISBN 10: 0486438155
• ISBN 13: 9780486438153
• Binding: Soft cover
• Condition: good

About this title

Synopsis

This text for upper-level undergraduates and graduate students examines the events that led to a 19th-century intellectual revolution: the reinterpretation of the calculus undertaken by Augustin-Louis Cauchy and his peers. These intellectuals transformed the uses of calculus from problem-solving methods into a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. Beginning with a survey of the characteristic 19th-century view of analysis, the book proceeds to an examination of the 18th-century concept of calculus and focuses on the innovative methods of Cauchy and his contemporaries in refining existing methods into the basis of rigorous calculus. 1981 edition.