The Origins of Cauchy\'s Rigorous Calculus - Judith V. Grabiner

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• Brand: Judith V. Grabiner
• Categoria: Mathematics
• Magazin: libris.ro
• Ultima actualizare: 28-10-2025 01:22:05

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Descriere magazin:
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.