The Origins of Cauchy's Rigorous Calculus

The Origins of Cauchy's Rigorous CalculusThis 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

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.

Binding Type: Paperback
Publisher: Dover Publications
Published: 10/20/2011
ISBN: 9780486438153
Pages: 252
Weight: 0.76lbs
Size: 9.20h x 6.10w x 0.56d