Calcul intégral (L3M1)

This work deals with integrals in calculus which is a fundamental tool for mathematical analysis and for the calculation of probabilities. The work is divided into 11 chapters as follows: Computations using integrals, for example Lebesgue integration techniques as it applies to measurable real analysis, measurable spaces, for example Euclidean n-space, integrable functions defined on Rn, the calculations of Lebesgue-Stieltjes integration, their functions as defined by integrals, convolution, Fourier transform, Fourier series, the applications and their complements.;AVANT-PROPOS; I MESURE ET INTÉGRALE; II MESURE DE LEBESGUE; III ESPACES Lp; IV INTÉGRATION SUR UN ESPACE PRODUIT; V INTÉGRATION SUR Rn; VI MESURES DE LEBESGUE-STIELTJES; VII FONCTIONS DÉFINIES PAR DES INTÉGRALES; VIII CONVOLUTION; IX TRANSFORMATION DE FOURIER; X SÉRIES DE FOURIER; XI APPLICATIONS ET COMPLÉMENTS; BIBLIOGRAPHIE.