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Fourier Analysis and Its Applications

Gerald B. Folland University of Washington, Seattle, WA
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Hardcover ISBN: 978-0-8218-4790-9
Product Code: AMSTEXT/4
List Price: $81.00 MAA Member Price:$72.90
AMS Member Price: $64.80 Electronic ISBN: 978-1-4704-1117-6 Product Code: AMSTEXT/4.E List Price:$76.00
MAA Member Price: $68.40 AMS Member Price:$60.80
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List Price: $121.50 MAA Member Price:$109.35
AMS Member Price: $97.20 Click above image for expanded view Fourier Analysis and Its Applications Gerald B. Folland University of Washington, Seattle, WA Available Formats:  Hardcover ISBN: 978-0-8218-4790-9 Product Code: AMSTEXT/4  List Price:$81.00 MAA Member Price: $72.90 AMS Member Price:$64.80
 Electronic ISBN: 978-1-4704-1117-6 Product Code: AMSTEXT/4.E
 List Price: $76.00 MAA Member Price:$68.40 AMS Member Price: $60.80 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:$121.50 MAA Member Price: $109.35 AMS Member Price:$97.20
• Book Details

Volume: 41992; 433 pp
MSC: Primary 42; Secondary 00; 33; 34; 44; 46;

This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced undergraduates. It includes material on Bessel functions, orthogonal polynomials, and Laplace transforms, and it concludes with chapters on generalized functions and Green's functions for ordinary and partial differential equations. The book deals almost exclusively with aspects of these subjects that are useful in physics and engineering, and includes a wide variety of applications. On the theoretical side, it uses ideas from modern analysis to develop the concepts and reasoning behind the techniques without getting bogged down in the technicalities of rigorous proofs.

• Cover
• Title page
• Preface
• Contents
• Chapter 1. Overture
• Chapter 2. Fourier series
• Chapter 3. Orthogonal sets of functions
• Chapter 4. Some boundary value problems
• Chapter 5. Bessel functions
• Chapter 6. Orthogonal polynomials
• Chapter 7. The Fourier transform
• Chapter 8. The Laplace transform
• Chapter 9. Generalized functions
• Chapter 10. Green’s functions
• Appendices
• References
• Index of Symbols
• Index
• Back Cover

• Reviews

• The book is a detailed and very readable treatise on the theory and practice of series expansions and transforms. The primary audience consists of advanced undergraduates in mathematics, physics, and engineering, but the book is also a useful reference for more advanced workers . . . The strength of the book comes from its careful presentation of theory followed by detailed applications, with good illustrations, and finally a generous collection of exercises (with answers). The prose is smooth and gives understandable discussions of technical difficulties . . . This text can surely be recommended for use in a one or two semester course, or as a reference for graduate students or other persons who want to see what sort of problems Fourier analysis was invented to solve.

C. F. Dunkl, Zentralblatt MATH
• With the same mastery as in his Real analysis, the author now offers us this excellent textbook on Fourier analysis: Fourier series, orthogonal systems, Bessel functions, Fourier and Laplace transforms, which are all very powerful mathematical tools in many a scientific domain. Without being exhaustive and without falling into a profusion of boring details, it nevertheless gives a panorama of these topics that is as complete as the framework of the book allows. Thus this text, which is designed for courses at the advanced undergraduate level and beyond, will also serve as a useful reference book.

Mathematical 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: 41992; 433 pp
MSC: Primary 42; Secondary 00; 33; 34; 44; 46;

This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced undergraduates. It includes material on Bessel functions, orthogonal polynomials, and Laplace transforms, and it concludes with chapters on generalized functions and Green's functions for ordinary and partial differential equations. The book deals almost exclusively with aspects of these subjects that are useful in physics and engineering, and includes a wide variety of applications. On the theoretical side, it uses ideas from modern analysis to develop the concepts and reasoning behind the techniques without getting bogged down in the technicalities of rigorous proofs.

• Cover
• Title page
• Preface
• Contents
• Chapter 1. Overture
• Chapter 2. Fourier series
• Chapter 3. Orthogonal sets of functions
• Chapter 4. Some boundary value problems
• Chapter 5. Bessel functions
• Chapter 6. Orthogonal polynomials
• Chapter 7. The Fourier transform
• Chapter 8. The Laplace transform
• Chapter 9. Generalized functions
• Chapter 10. Green’s functions
• Appendices
• References
• Index of Symbols
• Index
• Back Cover
• The book is a detailed and very readable treatise on the theory and practice of series expansions and transforms. The primary audience consists of advanced undergraduates in mathematics, physics, and engineering, but the book is also a useful reference for more advanced workers . . . The strength of the book comes from its careful presentation of theory followed by detailed applications, with good illustrations, and finally a generous collection of exercises (with answers). The prose is smooth and gives understandable discussions of technical difficulties . . . This text can surely be recommended for use in a one or two semester course, or as a reference for graduate students or other persons who want to see what sort of problems Fourier analysis was invented to solve.

C. F. Dunkl, Zentralblatt MATH
• With the same mastery as in his Real analysis, the author now offers us this excellent textbook on Fourier analysis: Fourier series, orthogonal systems, Bessel functions, Fourier and Laplace transforms, which are all very powerful mathematical tools in many a scientific domain. Without being exhaustive and without falling into a profusion of boring details, it nevertheless gives a panorama of these topics that is as complete as the framework of the book allows. Thus this text, which is designed for courses at the advanced undergraduate level and beyond, will also serve as a useful reference book.

Mathematical 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
Please select which format for which you are requesting permissions.