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Introductory real analysis (1970)
Introductory real analysis [texte imprimé] / A. N. Kolmogorov, Auteur ; S. V. Fomin, Auteur ; Richard A. Silverman, Éditeur scientifique . - New York : Dover publications, 1970 . - XII-403 p. ; 24 cm.
ISBN : 978-0-486-61226-3
Bibliogr. p. 391-392. Index
Langues : Anglais (eng)
Mots-clés : Functions
Fonctions (mathématiques)
Analyse fonctionnelle
Functional analysis
Nombres réels
Analyse mathématiqueIndex. décimale : 517.5 Théorie des fonctions Résumé :
The first four chapters present basic concepts and introductory principles in set theory, metric spaces, topological spaces, and linear spaces. The next two chapters consider linear functionals and linear operators, with detailed discussions of continous linear functionals, the conjugate space, the weak topology and weak convergence, generalized functions, basic concepts of linear operators, inverse and adjoint operators, and completely continous operators. The final four chapters cover measure, integration, differentiation, and more on integration. Special attention is here given to the lebesgue integral, fubini's theorem, and the stieltjes integral.Note de contenu : Au sommaire :
- Set theory
- Metric spaces
- topological spaces
- Linear spaces
- Linear functionals
- Linear operators
- Integration
- Differentiation
- More on integration
