Real Analysis : : Measure and Integration /

Real Analysis : : Measure and Integration / / Marat V. Markin.

The philosophy of the book, which makes it quite distinct from many existing texts on the subject, is based on treating the concepts of measure and integration starting with the most general abstract setting and then introducing and studying the Lebesgue measure and integration on the real line as a...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019
VerfasserIn:
Markin, Marat V.,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2019]
©2019
Year of Publication:2019
Language:English
Series:De Gruyter Textbook
Online Access:
Physical Description:1 online resource (XV, 339 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Acknowledgments
  • Contents
  • 1. Preliminaries
  • 2. Basic Set Classes
  • 3. Measures
  • 4. Extension of Measures
  • 5. Measurable Functions
  • 6. Abstract Lebesgue Integral
  • 7. Lp Spaces
  • 8. Differentiation and Integration
  • 9. Signed Measures
  • A. The Axiom of Choice and Equivalents
  • Bibliography
  • Index

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