Judith V. Grabiner

The Origins of Cauchy's Rigorous Calculus (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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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Produktdetails

• Verlag: Dover Publications
• Seitenzahl: 272
• Erscheinungstermin: 13. April 2012
• Englisch
• ISBN-13: 9780486143743
• Artikelnr.: 40075621

Inhaltsangabe

1. Cauchy and the Nineteenth-Century Revolution in Calculus 2. The Status
of Foundations in Eighteenth-Century Calculus 3. The Algebraic Background
of Cauchy's New Analysis 4. The Origins of the Basic Concepts of Cauchy's
Analysis: Limit, Continuity, Convergence 5. The Origins of Cauchy's Theory
of the Derivative 6. The Origins of Cauchy's Theory of the Definite
Integral Appendix Index

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