An error was encountered while trying to add the item to the cart. Please try again.
Copy To Clipboard
Successfully Copied!
Lectures on Linear Partial Differential Equations

Gregory Eskin University of California, Los Angeles, Los Angeles, CA
Available Formats:
Hardcover ISBN: 978-0-8218-5284-2
Product Code: GSM/123
List Price: $83.00 MAA Member Price:$74.70
AMS Member Price: $66.40 Electronic ISBN: 978-1-4704-1184-8 Product Code: GSM/123.E List Price:$78.00
MAA Member Price: $70.20 AMS Member Price:$62.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $124.50 MAA Member Price:$112.05
AMS Member Price: $99.60 Click above image for expanded view Lectures on Linear Partial Differential Equations Gregory Eskin University of California, Los Angeles, Los Angeles, CA Available Formats:  Hardcover ISBN: 978-0-8218-5284-2 Product Code: GSM/123  List Price:$83.00 MAA Member Price: $74.70 AMS Member Price:$66.40
 Electronic ISBN: 978-1-4704-1184-8 Product Code: GSM/123.E
 List Price: $78.00 MAA Member Price:$70.20 AMS Member Price: $62.40 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$124.50 MAA Member Price: $112.05 AMS Member Price:$99.60
• Book Details

Volume: 1232011; 410 pp
MSC: Primary 35;

This book is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations. An effort has been made to present complete proofs in an accessible and self-contained form.

The first three chapters are on elementary distribution theory and Sobolev spaces with many examples and applications to equations with constant coefficients. The following chapters study the Cauchy problem for parabolic and hyperbolic equations, boundary value problems for elliptic equations, heat trace asymptotics, and scattering theory. The book also covers microlocal analysis, including the theory of pseudodifferential and Fourier integral operators, and the propagation of singularities for operators of real principal type. Among the more advanced topics are the global theory of Fourier integral operators and the geometric optics construction in the large, the Atiyah-Singer index theorem in $\mathbb R^n$, and the oblique derivative problem.

Graduate students and research mathematicians interested in partial differential equations.

• Chapters
• Chapter 1. Theory of distributions
• Chapter 2. Fourier transforms
• Chapter 3. Applications of distributions to partial differential equations
• Chapter 4. Second order elliptic equations in bounded domains
• Chapter 5. Scattering theory
• Chapter 6. Pseudodifferential operators
• Chapter 7. Elliptic boundary value problems and parametrices
• Chapter 8. Fourier integral operators

• Reviews

• This is a wonderful book, very well adapted to a graduate level, that covers not only 'classical' topics but also topics that are not so 'conventional', and gives, with a renewed vigor, a broad and unified knowledge of the theory of PDEs.

Mathematical Reviews
• This is a very good book for graduate students and for mathematicians interested in Fourier analysis and PDEs. The book is very well-written. I would recommend this book without reservations to anyone who wants an unambiguous and fast introduction to an eclectic selection of topics in linear PDEs.

MAA Reviews
• Requests

Review Copy – for reviewers who would like to review an AMS book
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: 1232011; 410 pp
MSC: Primary 35;

This book is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations. An effort has been made to present complete proofs in an accessible and self-contained form.

The first three chapters are on elementary distribution theory and Sobolev spaces with many examples and applications to equations with constant coefficients. The following chapters study the Cauchy problem for parabolic and hyperbolic equations, boundary value problems for elliptic equations, heat trace asymptotics, and scattering theory. The book also covers microlocal analysis, including the theory of pseudodifferential and Fourier integral operators, and the propagation of singularities for operators of real principal type. Among the more advanced topics are the global theory of Fourier integral operators and the geometric optics construction in the large, the Atiyah-Singer index theorem in $\mathbb R^n$, and the oblique derivative problem.

Graduate students and research mathematicians interested in partial differential equations.

• Chapters
• Chapter 1. Theory of distributions
• Chapter 2. Fourier transforms
• Chapter 3. Applications of distributions to partial differential equations
• Chapter 4. Second order elliptic equations in bounded domains
• Chapter 5. Scattering theory
• Chapter 6. Pseudodifferential operators
• Chapter 7. Elliptic boundary value problems and parametrices
• Chapter 8. Fourier integral operators
• This is a wonderful book, very well adapted to a graduate level, that covers not only 'classical' topics but also topics that are not so 'conventional', and gives, with a renewed vigor, a broad and unified knowledge of the theory of PDEs.

Mathematical Reviews
• This is a very good book for graduate students and for mathematicians interested in Fourier analysis and PDEs. The book is very well-written. I would recommend this book without reservations to anyone who wants an unambiguous and fast introduction to an eclectic selection of topics in linear PDEs.

MAA Reviews
Review Copy – for reviewers who would like to review an AMS book
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
You may be interested in...
Please select which format for which you are requesting permissions.