Softcover ISBN:  9781470465728 
Product Code:  GSM/143.S 
List Price:  $89.00 
MAA Member Price:  $80.10 
AMS Member Price:  $71.20 
eBook ISBN:  9780821894064 
Product Code:  GSM/143.E 
List Price:  $85.00 
MAA Member Price:  $76.50 
AMS Member Price:  $68.00 
Softcover ISBN:  9781470465728 
eBook: ISBN:  9780821894064 
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:  9781470465728 
Product Code:  GSM/143.S 
List Price:  $89.00 
MAA Member Price:  $80.10 
AMS Member Price:  $71.20 
eBook ISBN:  9780821894064 
Product Code:  GSM/143.E 
List Price:  $85.00 
MAA Member Price:  $76.50 
AMS Member Price:  $68.00 
Softcover ISBN:  9781470465728 
eBook ISBN:  9780821894064 
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 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 finitedimensional 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 onesemester graduate course.
ReadershipGraduate 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


Additional Material

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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 finitedimensional 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 onesemester 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