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-Caratheodory 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.
- ISBN13 9781135536770
- Publish Date 1 April 2004
- Publish Status Out of Print
- Out of Print 4 March 2021
- Publish Country GB
- Publisher Taylor & Francis Ltd
- Imprint CRC Press
- Edition 2nd Revised edition
- Format eBook
- Pages 792
- Language English