Autour du centenaire Lebesgue / Gustave Choquet, Thierry De Pauw, Pierre de la Harpe,... [et al.]

Auteur: Choquet, Gustave (1915-2006) - AuteurCo-auteur: de Pauw, Thierry - Auteur ; La Harpe, Pierre de (1944-) - AuteurAuteur secondaire : Kahane, Jean-Pierre (1926-2017) - PréfacierType de document: MonographieCollection: Panoramas et synthèses ; 18Langue: françaisPays: FranceÉditeur: Paris : Société mathématique de France, 2004Description: 1 vol. (X-156 p.) : ill., photogr., graph. ; 24 cm ISBN: 2856291708 ; br. Note: Publisher's description: This volume was written on the occasion of the centennial of Lebesgue's publication in 1901 of his famous Note introducing his integral. It results from a day of celebration at the École normale supérieure de Lyon. It provides various viewpoints on Lebesgue's heritage. Gustave Choquet gives a vivid testimony about mathematics and mathematicians of Lebesgue's era. Contributions by Pierre de la Harpe and by Bruno Sévennec on finitely additive measures analyse their paradoxes and their relationship with amenability or equirepartition. Hervé Pajot relates the recent and considerable progress made in understanding the notion of rectifiability, in relation with the analytic capacity or with the Cauchy operator. Thierry de Pauw, starting from Henstock and Kurzweil's integral, studies possibilities of generalizing the divergence formula. A preface by Jean-Pierre Kahane synthesizes these viewpoints and highlights Lebesgue's influence in the course of the twentieth century.Bibliographie: Notes bibliogr.. Sujets MSC: 01A60 History and biography -- History of mathematics and mathematicians -- 20th century
01-06 History and biography -- Proceedings, conferences, collections, etc
En-ligne: Sommaire
Location Call Number Status Date Due
Couloir 03243-01 / Séries Panor 18 (Browse Shelf) Available

Publisher's description: This volume was written on the occasion of the centennial of Lebesgue's publication in 1901 of his famous Note introducing his integral. It results from a day of celebration at the École normale supérieure de Lyon. It provides various viewpoints on Lebesgue's heritage. Gustave Choquet gives a vivid testimony about mathematics and mathematicians of Lebesgue's era. Contributions by Pierre de la Harpe and by Bruno Sévennec on finitely additive measures analyse their paradoxes and their relationship with amenability or equirepartition. Hervé Pajot relates the recent and considerable progress made in understanding the notion of rectifiability, in relation with the analytic capacity or with the Cauchy operator. Thierry de Pauw, starting from Henstock and Kurzweil's integral, studies possibilities of generalizing the divergence formula. A preface by Jean-Pierre Kahane synthesizes these viewpoints and highlights Lebesgue's influence in the course of the twentieth century.

Notes bibliogr.

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