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The Origins of Cauchy's Rigorous Calculus (Dover Books on Mathematics) (Paperback)

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Description


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.
Product Details
ISBN: 9780486438153
ISBN-10: 0486438155
Publisher: Dover Publications
Publication Date: October 20th, 2011
Pages: 252
Language: English
Series: Dover Books on Mathematics