Measure Theory and Integration

2. Rev and Expanded Auflage 2004
ISBN: 978-0-8247-5401-3
Verlag: CRC Press

Buch, Englisch, 790 Seiten, Format (B × H): 162 mm x 236 mm, Gewicht: 1161 g

Reihe: Chapman & Hall/CRC Pure and Applied Mathematics

Significantly revised and expanded, this authoritative reference/text comprehensively describes concepts in measure theory, classical integration, and generalized Riemann integration of both scalar and vector types-providing a complete and detailed review of every aspect of measure and integration theory using valuable examples, exercises, and applications.

With more than 170 references for further investigation of the subject, this Second Edition

- provides more than 60 pages of new information, as well as a new chapter on nonabsolute integrals

- contains extended discussions on the four basic results of Banach spaces

- presents an in-depth analysis of the classical integrations with many applications, including integration of nonmeasurable functions, Lebesgue spaces, and their properties

- details the basic properties and extensions of the Lebesgue-Carathéodory measure theory, as well as the structure and convergence of real measurable functions

- covers the Stone isomorphism theorem, the lifting theorem, the Daniell method of integration, and capacity theory

Measure Theory and Integration, Second Edition is a valuable reference for all pure and applied mathematicians, statisticians, and mathematical analysts, and an outstanding text for all graduate students in these disciplines.

Zielgruppe

Undergraduate

Autoren/Hrsg.

Rao, M M

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis

Inhaltsverzeichnis

Introduction and Preliminaries Measurability and Measures Measurable Functions Classical Integration Differentiation and Duality Product Measures and Integrals Nonabsolute Integration Capacity Theory and Integration The Lifting Theorem Topological Measures Some Complements and Applications Appendix References Index of Symbols and Notation Author Index Subject Index

Über Autor(innen)

M.M. Rao