Real analysis : measure theory, integration, and Hilbert spaces /

Real Analysis is the third volume in the Princeton Lectures in Analysis, a series of four textbooks that aim to present, in an integrated manner, the core areas of analysis. Here the focus is on the development of measure and integration theory, differentiation and integration, Hilbert spaces, and H...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Stein, Elias M., 1931-2018 (Author), Shakarchi, Rami (Author)
Format: Electronic eBook
Language:Inglés
Published: Princeton, N.J. : Princeton University Press, 2005.
Series:Princeton lectures in analysis ; 3.
Subjects:
Functional analysis.
Integrals, Generalized.
Measure theory.
Analyse fonctionnelle.
Intégrales généralisées.
Théorie de la mesure.
MATHEMATICS / Calculus
MATHEMATICS / Mathematical Analysis
Maattheorie.
Hilbertruimten.
Online Access:Texto completo
Table of Contents:
  • Preliminaries; Foreword; Contents; Introduction; Chapter 1. Measure Theory; Chapter 2. Integration Theory; Chapter 3. Di®erentiation and Integration; Chapter 4. Hilbert Spaces: An Introduction; Chapter 5. Hilbert Spaces: Several Examples; Chapter 6. Abstract Measure and Integration Theory; Chapter 7. Hausdor® Measure and Fractals; Notes and References; Bibliography; Symbol Glossary; Index.

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