The historical development of the calculus

C.H. Edwards, Jr

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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[目次]

  • 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

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この本の情報

書名 The historical development of the calculus
著作者等 Edwards, C. H.
Edwards C.H.
出版元 Springer-Verlag
刊行年月 c1979
版表示 1st ed. 1979. Corr. 3rd printing 1994
ページ数 xii, 351 p.
大きさ 25 cm
ISBN 0387943137
3540904360
3540943137
0387904360
NCID BA02941229
※クリックでCiNii Booksを表示
言語 英語
出版国 アメリカ合衆国
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