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9781108001854

Lecons Sur L'integration Et La Recherche Des Fonctions Primitives Professees Au College De France

by
  • ISBN13:

    9781108001854

  • ISBN10:

    1108001858

  • Edition: Revised
  • Format: Paperback
  • Copyright: 2009-07-20
  • Publisher: Cambridge Univ Pr

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Summary

The two great works of the celebrated French mathematician Henri Lebesgue (1875-1941), LeYons sur l'int_gration et la recherche des fonctions primitives profess_es au Coll+ge de France (1904) and LeYons sur les s_ries trigonom_triques profess_es au Coll+ge de France (1906) arose from lecture courses he gave at the Coll+ge 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.

Table of Contents

Préface
L'intégrale avant Riemann
La définition de l'intégrale donnée par Riemann
Définition géométrique de l'intégrale
Les fonctions ... variation bornée
La recherche des fonctions primitives
L'intégrale définie ... l'aide des fonctions primitives
Les fonctions sommables
Note
Table des matiÿres
Table of Contents provided by Publisher. All Rights Reserved.

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