The Historical Development of the Calculus: HISTORICAL DEVELOPMENT OF THE

Paperback | June 24, 1994

byC.H.Jr. Edwards, C. Henry Edwards

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This is a lucid account of the highlights in the historical development of the calculus from ancient to modern times from the beginnings of geometry in antiquity to the nonstandard analysis of the twentieth century. It emphasizes the genesis and evolution of both fundamental concepts and computational techniques. The intended audience includes not only students of the history of mathematics, but also the wider mathematical community, specifically those who study, teach and use calculus. Among the distinctive features of this exposition are historically motivated exercises and carefully chosen illustrative examples. Numerous sections of the book are suitable for use in courses in introductory and advanced calculus as well as the general history of mathematics.

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This is a lucid account of the highlights in the historical development of the calculus from ancient to modern times from the beginnings of geometry in antiquity to the nonstandard analysis of the twentieth century. It emphasizes the genesis and evolution of both fundamental concepts and computational techniques. The intended audience ...

Format:PaperbackDimensions:380 pages, 9.25 × 6.1 × 0.27 inPublished:June 24, 1994Publisher:Springer New York

The following ISBNs are associated with this title:

ISBN - 10:0387943137

ISBN - 13:9780387943138

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Table of Contents

1. Area Number and Limit Concepts in Antiquity; 2. Archimedes; 3. Twilight, Darkness and Dawn; 4. Early Indivisibles and Infinitesimal Techniques; 5. Early Tangent Constructions; 6. Napier's Wonderful Logarithms; 7. The Arithmetic of the Infinite; 8. The Calculus According to Newton; 9. The Calculus According to Leibniz; 10. The Age of Euler; 11. The Calculus According to Cauchy, Riemann and Weierstrass; 12. Postscript: The Twentieth Century; Index