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

Book 11 of 70: Chapman & Hall/CRC Pure and Applied Mathematics

Rao, M.M.

 
9780824754013: Measure Theory and Integration: Revised and Expanded (Chapman & Hall/CRC Pure and Applied Mathematics)
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.

    • "synopsis" may belong to another edition of this title.

    About the Author

    M.M. Rao

    From the Back Cover

    Significantly revised and expanded, Measure Theory and Integration, Second Edition 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 that form a roadmap for further investigation of the subject, this edition includes more than 60 pages of new information, a new chapter on nonabsolute integrals, and extended discussions on the four basic results of Banach spaces.

    "About this title" may belong to another edition of this title.

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