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Look Inside Leçons sur l'intégration et la recherche des fonctions primitives professées au Collège de France

Leçons sur l'intégration et la recherche des fonctions primitives professées au Collège de France

$35.99 (R)

Part of Cambridge Library Collection - Mathematics

  • Date Published: July 2009
  • availability: Available
  • format: Paperback
  • isbn: 9781108001854

$ 35.99 (R)
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  • The two great works of the celebrated French mathematician Henri Lebesgue (1875–1941), Leçons sur l'intégration et la recherche des fonctions primitives professées au Collège de France (1904) and Leçons sur les séries trigonométriques professées au Collège de France (1906) arose from lecture courses he gave at the Collège de France while holding a teaching post at the University of Rennes. In 1901 Lebesgue formulated measure theory; and in 1902 his new definition of the definite integral, which generalised the Riemann integral, revolutionised integral calculus and greatly expanded the scope of Fourier analysis. The Lebesgue integral is regarded as one of the major achievements in modern real analysis, and remains central to the study of mathematics today. Both of Lebesgue's books are reissued in this series.

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    Product details

    • Date Published: July 2009
    • format: Paperback
    • isbn: 9781108001854
    • length: 152 pages
    • dimensions: 229 x 152 x 9 mm
    • weight: 0.23kg
    • availability: Available
  • Table of Contents

    Préface
    1. L'intégrale avant Riemann
    2. La définition de l'intégrale donnée par Riemann
    3. Définition géométrique de l'intégrale
    4. Les fonctions à variation bornée
    5. La recherche des fonctions primitives
    6. L'intégrale définie à l'aide des fonctions primitives
    7. Les fonctions sommables
    Note
    Table des matières.

  • Author

    Henri Leon Lebesgue

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