
Intégration. Intégrale de Lebesgue et introduction à l'analyse fonctionnelle
Cet ouvrage décrit la construction de l'intégrale de Lebesgue, en s'appuyant sur le point de vue de la théorie de la mesure. Il présente les techniques de base et résultats fondamentaux issus de cette théorie, incluant l'analyse de Fourier. Une place importante est réservée à la discussion des espaces fonctionnels basés sur les propriétés d'intégrabilité offrant ainsi l'occasion de se familiariser avec les notions de base de l'analyse fonctionnelle (théorie hilbertienne, dualité, différentes notions de convergence). Le propos est enrichi par de nombreux exemples et contre-exemples. L'ouvrage s'adresse aux étudiants découvrant la théorie de l'intégration, mais aussi à des étudiants plus avancés qui y trouveront matière à affermir ou compléter leurs connaissances. En particulier l'ouvrage peut servir dans le cadre d'une préparation aux concours d'enseignement, ou en référence pour un public scientifique se spécialisant sur l'analyse mathématique d'équations aux dérivées partielles.
| Nombre de pages | 192 |
|---|---|
| Date de parution | 15/11/2011 |
| Poids | 373g |
| Largeur | 190mm |
| SKU: | 9782729870416 |
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| EAN | 9782729870416 |
|---|---|
| Titre | Intégration. Intégrale de Lebesgue et introduction à l'analyse fonctionnelle |
| Auteur | Goudon Thierry |
| Editeur | ELLIPSES |
| Largeur | 190 |
| Poids | 373 |
| Date de parution | 20111115 |
| Nombre de pages | 192,00 € |












