Measure Theory and Integration: Revised and Expanded (Chapman & Hall/CRC Pure and Applied Mathematics) - Hardcover

Rao, M.M.

Hardcover

ISBN 10: 0824754018 ISBN 13: 9780824754013

Publisher: CRC Press, 2004

Synopsis

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.

About this title

Review

"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[, ] offering valuable examples, exercises, and applications. This book examines the Henstock-Kurzweil integral with approaches not found in any other text." - L'Enseignement Mathematique, Vol. 50, 1-2, Jan-Jun 2004

Edition details

• Publisher: CRC Press
• Publication date: 2004
• ISBN 10: 0824754018
• ISBN 13: 9780824754013
• Binding: Hardcover
• Language: English
• Edition number: 2
• Number of pages: 790