| Hardcover ISBN: | 978-1-4704-1103-9 |
| Product Code: | SIMON/4 |
| List Price: | $99.00 |
| MAA Member Price: | $89.10 |
| AMS Member Price: | $79.20 |
| eBook ISBN: | 978-1-4704-2763-4 |
| Product Code: | SIMON/4.E |
| List Price: | $95.00 |
| MAA Member Price: | $85.50 |
| AMS Member Price: | $76.00 |
| Hardcover ISBN: | 978-1-4704-1103-9 |
| eBook: ISBN: | 978-1-4704-2763-4 |
| Product Code: | SIMON/4.B |
| List Price: | $194.00 $146.50 |
| MAA Member Price: | $174.60 $131.85 |
| AMS Member Price: | $155.20 $117.20 |
| Hardcover ISBN: | 978-1-4704-1103-9 |
| Product Code: | SIMON/4 |
| List Price: | $99.00 |
| MAA Member Price: | $89.10 |
| AMS Member Price: | $79.20 |
| eBook ISBN: | 978-1-4704-2763-4 |
| Product Code: | SIMON/4.E |
| List Price: | $95.00 |
| MAA Member Price: | $85.50 |
| AMS Member Price: | $76.00 |
| Hardcover ISBN: | 978-1-4704-1103-9 |
| eBook ISBN: | 978-1-4704-2763-4 |
| Product Code: | SIMON/4.B |
| List Price: | $194.00 $146.50 |
| MAA Member Price: | $174.60 $131.85 |
| AMS Member Price: | $155.20 $117.20 |
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Book Details2015; 749 ppMSC: Primary 47; 34; 46; Secondary 81; 35; 42; 22
A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis.
Part 4 focuses on operator theory, especially on a Hilbert space. Central topics are the spectral theorem, the theory of trace class and Fredholm determinants, and the study of unbounded self-adjoint operators. There is also an introduction to the theory of orthogonal polynomials and a long chapter on Banach algebras, including the commutative and non-commutative Gel'fand-Naimark theorems and Fourier analysis on general locally compact abelian groups.
ReadershipResearchers (mathematicians and some applied mathematicians and physicists) using analysis, professors teaching analysis at the graduate level, graduate students who need any kind of analysis in their work.
This item is also available as part of a set: -
Table of Contents
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Chapters
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Chapter 1. Preliminaries
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Chapter 2. Operator basics
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Chapter 3. Compact operators, mainly on a Hilbert space
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Chapter 4. Orthogonal polynomials
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Chapter 5. The spectral theorem
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Chapter 6. Banach algebras
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Chapter 7. Bonus chapter: Unbounded self-adjoint operators
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Requests
A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis.
Part 4 focuses on operator theory, especially on a Hilbert space. Central topics are the spectral theorem, the theory of trace class and Fredholm determinants, and the study of unbounded self-adjoint operators. There is also an introduction to the theory of orthogonal polynomials and a long chapter on Banach algebras, including the commutative and non-commutative Gel'fand-Naimark theorems and Fourier analysis on general locally compact abelian groups.
Researchers (mathematicians and some applied mathematicians and physicists) using analysis, professors teaching analysis at the graduate level, graduate students who need any kind of analysis in their work.
-
Chapters
-
Chapter 1. Preliminaries
-
Chapter 2. Operator basics
-
Chapter 3. Compact operators, mainly on a Hilbert space
-
Chapter 4. Orthogonal polynomials
-
Chapter 5. The spectral theorem
-
Chapter 6. Banach algebras
-
Chapter 7. Bonus chapter: Unbounded self-adjoint operators
