Includes bibliographical references (pages 225-240) and index.
CONTENTS NOTE
Text of Note
Cover; Title Page; Copyright Page; Dedication; Contents; Preface; Abbreviations of Titles; Introduction; 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; Conclusion; Appendix: Translations from Cauchy's Oeuvres; Notes; References; Index.
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SUMMARY OR ABSTRACT
Text of Note
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. 1981 edition.