| Softcover ISBN: | 978-1-4704-6572-8 |
| Product Code: | GSM/143.S |
| List Price: | $89.00 |
| MAA Member Price: | $80.10 |
| AMS Member Price: | $71.20 |
| eBook ISBN: | 978-0-8218-9406-4 |
| Product Code: | GSM/143.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-6572-8 |
| eBook: ISBN: | 978-0-8218-9406-4 |
| Product Code: | GSM/143.S.B |
| List Price: | $174.00 $131.50 |
| MAA Member Price: | $156.60 $118.35 |
| AMS Member Price: | $139.20 $105.20 |
| Softcover ISBN: | 978-1-4704-6572-8 |
| Product Code: | GSM/143.S |
| List Price: | $89.00 |
| MAA Member Price: | $80.10 |
| AMS Member Price: | $71.20 |
| eBook ISBN: | 978-0-8218-9406-4 |
| Product Code: | GSM/143.E |
| List Price: | $85.00 |
| MAA Member Price: | $76.50 |
| AMS Member Price: | $68.00 |
| Softcover ISBN: | 978-1-4704-6572-8 |
| eBook ISBN: | 978-0-8218-9406-4 |
| Product Code: | GSM/143.S.B |
| List Price: | $174.00 $131.50 |
| MAA Member Price: | $156.60 $118.35 |
| AMS Member Price: | $139.20 $105.20 |
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Book DetailsGraduate Studies in MathematicsVolume: 143; 2013; 250 ppMSC: Primary 46; Secondary 35
This textbook is addressed to graduate students in mathematics or other disciplines who wish to understand the essential concepts of functional analysis and their applications to partial differential equations.
The book is intentionally concise, presenting all the fundamental concepts and results but omitting the more specialized topics. Enough of the theory of Sobolev spaces and semigroups of linear operators is included as needed to develop significant applications to elliptic, parabolic, and hyperbolic PDEs. Throughout the book, care has been taken to explain the connections between theorems in functional analysis and familiar results of finite-dimensional linear algebra.
The main concepts and ideas used in the proofs are illustrated with a large number of figures. A rich collection of homework problems is included at the end of most chapters. The book is suitable as a text for a one-semester graduate course.
ReadershipGraduate students interested in functional analysis and partial differential equations.
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Table of Contents
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Chapters
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Chapter 1. Introduction
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Chapter 2. Banach spaces
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Chapter 3. Spaces of continuous functions
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Chapter 4. Bounded linear operators
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Chapter 5. Hilbert spaces
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Chapter 6. Compact operators on a Hilbert space
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Chapter 7. Semigroups of linear operators
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Chapter 8. Sobolev spaces
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Chapter 9. Linear partial differential equations
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Chapter 10. Background material
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Additional Material
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RequestsReview Copy – for publishers of book reviewsDesk Copy – for instructors who have adopted an AMS textbook for a courseExamination Copy – for faculty considering an AMS textbook for a coursePermission – 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
This textbook is addressed to graduate students in mathematics or other disciplines who wish to understand the essential concepts of functional analysis and their applications to partial differential equations.
The book is intentionally concise, presenting all the fundamental concepts and results but omitting the more specialized topics. Enough of the theory of Sobolev spaces and semigroups of linear operators is included as needed to develop significant applications to elliptic, parabolic, and hyperbolic PDEs. Throughout the book, care has been taken to explain the connections between theorems in functional analysis and familiar results of finite-dimensional linear algebra.
The main concepts and ideas used in the proofs are illustrated with a large number of figures. A rich collection of homework problems is included at the end of most chapters. The book is suitable as a text for a one-semester graduate course.
Graduate students interested in functional analysis and partial differential equations.
-
Chapters
-
Chapter 1. Introduction
-
Chapter 2. Banach spaces
-
Chapter 3. Spaces of continuous functions
-
Chapter 4. Bounded linear operators
-
Chapter 5. Hilbert spaces
-
Chapter 6. Compact operators on a Hilbert space
-
Chapter 7. Semigroups of linear operators
-
Chapter 8. Sobolev spaces
-
Chapter 9. Linear partial differential equations
-
Chapter 10. Background material
