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Real Analysis: A Comprehensive Course in Analysis, Part 1
About this Title
Barry Simon
Publication: Simon
Publication Year:
2015; Volume 1
ISBNs: 978-1-4704-1099-5 (print); 978-1-4704-2755-9 (online)
DOI: https://doi.org/10.1090/simon/001
Table of Contents
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Front/Back Matter
Chapters
- Chapter 1. Preliminaries
- Chapter 2. Topological spaces
- Chapter 3. A first look at Hilbert spaces and Fourier series
- Chapter 4. Measure theory
- Chapter 5. Convexity and Banach spaces
- Chapter 6. Tempered distributions and the Fourier transform
- Chapter 7. Bonus chapter: Probability basics
- Chapter 8. Bonus chapter: Hausdorff measure and dimension
- Chapter 9. Bonus chapter: Inductive limits and ordinary distributions