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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.
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The Origins of Cauchy's Rigorous Calculus (Dover Books on Mathematics)
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The Origins of Cauchy's Rigorous Calculus (Dover Books on Mathematics)
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Dover Publications, 2011
ISBN 10: 0486438155
ISBN 13: 9780486438153
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Origins Of Cauchy's Rigorous Calculus
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The Origins of Cauchy's Rigorous Calculus (Dover Books on Mathematics)
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ISBN 10: 0486438155
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The Origins of Cauchy's Rigorous C
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ISBN 13: 9780486438153
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