Mathematician:Henri Léon Lebesgue

French mathematician famous mainly for his work on the theory of integral calculus. His name is sometimes seen rendered as Lebesque, but this appears to be a mistake.

Nationality
French

History

 * Born: June 28, 1875, Beauvais
 * Died: July 26, 1941, Paris

Theorems and Definitions

 * Lebesgue's Number Lemma
 * Lebesgue's Dominated Convergence Theorem
 * Lebesgue Integral
 * Lebesgue-Stieltjes Integral (with Thomas Joannes Stieltjes)
 * Lebesgue Number
 * Lebesgue Measure
 * Lebesgue Space
 * Fatou-Lebesgue Theorem (with Pierre Joseph Louis Fatou)
 * Riemann-Lebesgue Lemma (with Bernhard Riemann)

Books and Papers

 * 1898: Sur l'approximation des fonctions ("On the approximation of functions")
 * 1901: Sur une généralisation de l'intégrale définie ("On a generalization of the definite integral") (in which the Lebesgue Integral was introduced)
 * 1902: Intégrale, longueur, aire
 * 1904: Leçons sur l'intégration et la recherche des fonctions primitives
 * 1906: Leçons sur les séries trigonométriques
 * 1910: Représentation trigonométrique approchée des fonctions satisfaisant a une condition de Lipschitz ("Trigonometrical representation approaching functions satisfies a condition of Lipschitz")
 * 1922: Notice sur les travaux scientifique de M Henri Lebesgue