Measure Theory and Integration
2nd Revised edition
By (author) M. M. Rao
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Measure Theory and Integration by M. M. Rao
Book DescriptionSignificantly 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.
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Book DetailsISBN: 9780824754013
(229mm x 152mm x 41mm)
Imprint: Marcel Dekker Inc
Publisher: Taylor & Francis Inc
Publish Date: 30-Jan-2004
Country of Publication: United States
Books By Author M. M. Rao
Foundations of Stochastic Analysis, Paperback (October 2011)
This volume considers fundamental theories and contrasts the natural interplay between real and abstract methods. No prior knowledge of probability is assumed. Numerous problems, most with hints. 1981 edition.
Random and Vector Measures, Hardback (September 2011)View all books by M. M. Rao
Deals with the structural analysis of vector and random (or both) valued countably additive measures, and used for integral representations of random fields. This book analyzes several stationary aspects and related processes.
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