The Origins Of Cauchy's Rigorous Calculus

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    The Origins of Cauchy's Rigorous Calculus
    By: Judith V. Grabiner
    Publisher:
    Dover Publications
    Print ISBN: 9780486438153, 0486438155
    eText ISBN: 9780486143743, 0486143740
    Pages: 272
    Format: EPUB
    Available from $ 15.99 USD
    SKU 9780486143743
    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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