Measure, Integration & Real Analysis /

Measure, Integration & Real Analysis / / by Sheldon Axler.

This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Content is carefully curated to suit a single course,...

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Bibliographic Details
Superior document:Graduate Texts in Mathematics, 282
VerfasserIn:
Axler, Sheldon.
Place / Publishing House:Cham : : Springer International Publishing :, Imprint: Springer,, 2020.
Year of Publication:2020
Edition:1st ed. 2020.
Language:English
Series:Graduate Texts in Mathematics, 282
Physical Description:1 online resource (411)
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Table of Contents:
  • About the Author
  • Preface for Students
  • Preface for Instructors
  • Acknowledgments
  • 1. Riemann Integration
  • 2. Measures
  • 3. Integration
  • 4. Differentiation
  • 5. Product Measures
  • 6. Banach Spaces
  • 7. L^p Spaces
  • 8. Hilbert Spaces
  • 9. Real and Complex Measures
  • 10. Linear Maps on Hilbert Spaces
  • 11. Fourier Analysis
  • 12. Probability Measures
  • Photo Credits
  • Bibliography
  • Notation Index
  • Index
  • Colophon: Notes on Typesetting.

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