Measure, integration & real analysis

Measure, integration & real analysis / 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
Main Author: Axler, Sheldon Jay
Format: eBook
Language:English
Published: Cham : Springer Open, ©2020.
Series:Graduate texts in mathematics ; 282.
Subjects:
Numerical analysis.
Integral calculus & equations.
Análisis numérico
Numerical analysis
Online Access:Click for online access
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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