Hardcover ISBN:  9780821847909 
Product Code:  AMSTEXT/4 
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eBook ISBN:  9781470411176 
Product Code:  AMSTEXT/4.E 
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AMS Member Price:  $68.00 
Hardcover ISBN:  9780821847909 
eBook: ISBN:  9781470411176 
Product Code:  AMSTEXT/4.B 
List Price:  $174.00 $131.50 
MAA Member Price:  $156.60 $118.35 
AMS Member Price:  $139.20 $105.20 
Hardcover ISBN:  9780821847909 
Product Code:  AMSTEXT/4 
List Price:  $89.00 
MAA Member Price:  $80.10 
AMS Member Price:  $71.20 
eBook ISBN:  9781470411176 
Product Code:  AMSTEXT/4.E 
List Price:  $85.00 
MAA Member Price:  $76.50 
AMS Member Price:  $68.00 
Hardcover ISBN:  9780821847909 
eBook ISBN:  9781470411176 
Product Code:  AMSTEXT/4.B 
List Price:  $174.00 $131.50 
MAA Member Price:  $156.60 $118.35 
AMS Member Price:  $139.20 $105.20 

Book DetailsPure and Applied Undergraduate TextsVolume: 4; 1992; 433 ppMSC: 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.
ReadershipUndergraduate and graduate students interested in studying the Fourier transform.

Table of Contents

Cover

Title page

Copyright

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

Answers to the Exercises

References

Index of Symbols

Index

Back Cover


Additional Material

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


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 Book Details
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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.
Undergraduate and graduate students interested in studying the Fourier transform.

Cover

Title page

Copyright

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

Answers to the Exercises

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