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Lecture Notes on Functional Analysis: With Applications to Linear Partial Differential Equations
 
Alberto Bressan Pennsylvania State University, University Park, PA
Lecture Notes on Functional Analysis
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
Lecture Notes on Functional Analysis
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Lecture Notes on Functional Analysis: With Applications to Linear Partial Differential Equations
Alberto Bressan Pennsylvania State University, University Park, PA
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
  • Book Details
     
     
    Graduate Studies in Mathematics
    Volume: 1432013; 250 pp
    MSC: 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.

    Readership

    Graduate students interested in functional analysis and partial differential equations.

  • Table of Contents
     
     
    • 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Desk Copy – for instructors who have adopted an AMS textbook for a course
    Examination Copy – for faculty considering an AMS textbook for a course
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1432013; 250 pp
MSC: 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.

Readership

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
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Examination Copy – for faculty considering an AMS textbook for a course
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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