Fourier Analysis and Its Applications
Höfundur:
Gerald B. Folland (Útgáfa: 0)
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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.
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- American Mathematical Society
- 9781470411176
- 9780821847909
- Page Fidelity (PDF)
- 0
- Gerald B. Folland
- English
- 2009-01-13
- 50
- 20
- 20
Kaflar
- 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