Fourier Analysis and Its Applications

Höfundur: Gerald B. Folland (Útgáfa: 0)
Fourier Analysis and Its Applications

Kaup valmöguleikar

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.

Nánar um bókina

Útgefandi
American Mathematical Society
ISBN
9781470411176
Print ISBN
9780821847909
Format
Page Fidelity (PDF)
Útgáfa
0
Höfundar
Gerald B. Folland
Tungumál
English
Útgefið
2009-01-13
Prent takmörkun á líftíma
50
Prent takmörkun
20
Afritunar takmörkun
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