The Origins of Cauchy's Rigorous Calculus declensions

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The Origins of Cauchy's Rigorous Calculus declensionsThis 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