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Theorie de L'Integration: Integrale de Lebesgue, Integrale de Riemann, Integration, Theoreme Fondamental de L'Analyse

Theorie de L'Integration: Integrale de Lebesgue, Integrale de Riemann, Integration, Theoreme Fondamental de L'Analyse


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About the Book

Ce contenu est une compilation d'articles de l'encyclopedie libre Wikipedia. Pages: 59. Non illustre. Chapitres: Integrale de Lebesgue, Integrale de Riemann, Integration, Theoreme fondamental de l'analyse, Theoreme integral de Cauchy, Formule integrale de Cauchy, Lemme de Goursat, Integrale multiple, Integrale de chemin, Produit de convolution, Calcul integral, Lemme de Cousin, Fonction reglee, Fonction etagee, Integrale impropre, Theoreme de convergence monotone, Comparaison serie-integrale, Somme de Riemann, Integrale indefinie, Theoreme de Fubini, Primitive, Integrale de Kurzweil-Henstock, Lemme de Jordan, Lemme d'estimation, Carre sommable, Theoreme de convergence dominee, Theoreme de differentiation de Lebesgue, Methode de la phase stationnaire, Integrale de surface, Lemme de Fatou, Integrale curviligne, Theoreme de la moyenne, Primitives generalisees, Lemme de Gronwall, Valeur principale de Cauchy, Methode du point col, Integrale de Stieltjes, Operateur integral, Theoreme de Riesz-Fischer, Point de Lebesgue, Geometrie integrale, Formule de Cauchy pour l'integration successive, Theoreme d'interversion serie-integrale, Integrabilite, Approximation sigma, Mesure signee, Espace L2, Espace L1, Fonction localement integrable. Extrait: En analyse complexe, le lemme de Goursat (ou theoreme de Goursat) est une version faible du theoreme integral de Cauchy. Selon ce lemme, si une fonction d'une variable complexe est definie et derivable au voisinage d'un rectangle ou d'un triangle, alors son integrale curviligne sur le contour est nulle. Initialement, le lemme de Goursat a ete pressenti en 1814 par Augustin Louis Cauchy, qui integra des fonctions d'une variable complexe sur des rectangles. La preuve du lemme de Goursat ne fait intervenir aucun resultat d'analyse complexe: dans les cours de licence ou dans les livres d'introduction, le lemme de Goursat prepare le terrain a la formule integrale de Cauchy, qui permet de calculer la valeur d'une fonction holomorphe et d...


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Product Details
  • ISBN-13: 9781159990909
  • Publisher: Books LLC, Wiki Series
  • Publisher Imprint: Books LLC, Wiki Series
  • Height: 246 mm
  • No of Pages: 60
  • Spine Width: 3 mm
  • Weight: 127 gr
  • ISBN-10: 1159990905
  • Publisher Date: 25 Aug 2011
  • Binding: Paperback
  • Language: French
  • Returnable: N
  • Sub Title: Integrale de Lebesgue, Integrale de Riemann, Integration, Theoreme Fondamental de L'Analyse
  • Width: 189 mm


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