Measure Theory and Integration
eBook - ePub

Measure Theory and Integration

  1. 792 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Measure Theory and Integration

About this book

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.

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    Information

    Publisher
    CRC Press
    Year
    2018
    Print ISBN
    9780824754013
    eBook ISBN
    9781351991483
    Topic
    Mathematics
    Subtopic
    Functional Analysis
    Index
    Mathematics

    Table of contents

    1. Cover
    2. Half Title
    3. Title Page
    4. Copyright Page
    5. Dedication
    6. Table of Contents
    7. Preface to the Second Edition
    8. Preface to the First Edition
    9. 1. Introduction and Preliminaries
    10. 2. Measurability and Measures
    11. 3. Measurable Functions
    12. 4. Classical Integration
    13. 5. Differentiation and Duality
    14. 6. Product Measures and Integrals
    15. 7. Nonabsolute Integration
    16. 8. Capacity Theory and Integration
    17. 9. The Lifting Theorem
    18. 10. Topological Measures
    19. 11. Some Complements and Applications
    20. Appendix
    21. References
    22. Index of Symbols and Notation
    23. Author Index
    24. Subject Index

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    Yes, you can access Measure Theory and Integration by M.M. Rao in PDF and/or ePUB format, as well as other popular books in Mathematics & Functional Analysis. We have over one million books available in our catalogue for you to explore.