From The Calculus To Set Theory 1630-1910. An Introductory History

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Ivor Grattan-Guinness et  Collectif - From The Calculus To Set Theory 1630-1910. An Introductory History.
Front the Calculus to Set Theory traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis... Lire la suite
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Résumé

Front the Calculus to Set Theory traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis to the developments in set theory and the foundations of mathematics in the early twentieth century. It chronicles the work of mathematicians from Descartes and Newton to Russell and Hilbert and many, many others while emphasizing foundational questions and underlining the continuity of developments in higher mathematics. The other contributors to this volume are H.J.M. Bos, R. Bunn, J. W. Dauben, T. W. Hawkins, and K. Moller Pedersen. "From the Calculus to Set Theory is a valuable reference for anyone with enough preparation in mathematics to read it." -Lenore Feigenbaum, Centaurus "This book is a useful collection of articles... The history of the calculus provides a superb lesson in how mathematics develops." -Morris Kline, Isis "I give a lot of lectures about the history of the calculus to the mathematical community and when I am asked about what they can read to learn more history, this is always one of the books that I mention. It really is a superb introduction to the field." -V. Frederick Rickey, United States Military Academy

Sommaire

    • Techniques of the calculus, 1630-1660
    • Newton, Leibniz and the Leibnizian tradition
    • The emergence of mathematical analysis and its foundational progress, 1780-1880
    • The origins of modern theories of integration
    • The development of Cantorian set theory
    • Developments in the foundations of mathematics, 1870-1910.

Caractéristiques

  • Date de parution
    12/01/2001
  • Editeur
  • ISBN
    0-691-07082-2
  • EAN
    9780691070827
  • Présentation
    Broché
  • Nb. de pages
    306 pages
  • Poids
    0.46 Kg
  • Dimensions
    15,6 cm × 23,4 cm × 2,0 cm

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À propos des auteurs

I. GRATTAN-GUINNESS is Professor of the History of Mathematics and Logic at Middlesex University. Founder of the journal History and Philosophy of Logic and past president of the British Society for the History of Mathematics, he has authored or edited numerous books, including The Norton History of Mathematics, Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, Convolutions in French Mathematics, 1800-1840, and The Search for Mathematical Roots, 1870-1940 (Princeton).

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