The Origins of Cauchy's Rigorous Calculus

Nonfiction, Science & Nature, Mathematics, History
Cover of the book The Origins of Cauchy's Rigorous Calculus by Judith V. Grabiner, Dover Publications
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Author: Judith V. Grabiner ISBN: 9780486143743
Publisher: Dover Publications Publication: May 11, 2012
Imprint: Dover Publications Language: English
Author: Judith V. Grabiner
ISBN: 9780486143743
Publisher: Dover Publications
Publication: May 11, 2012
Imprint: Dover Publications
Language: English

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.

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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.

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