Fourier Analysis and Its Applications (Graduate Texts in Mathematics 223 1st ed. 2003. Corr. 2nd printing 2005)

Fourier Analysis and Its Applications (Graduate Texts in Mathematics 223 1st ed. 2003. Corr. 2nd printing 2005)

By: Anders Vretblad (author)Hardback

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Description

A carefully prepared account of the basic ideas in Fourier analysis and its applications to the study of partial differential equations. The author succeeds to make his exposition accessible to readers with a limited background, for example, those not acquainted with the Lebesgue integral. Readers should be familiar with calculus, linear algebra, and complex numbers. At the same time, the author has managed to include discussions of more advanced topics such as the Gibbs phenomenon, distributions, Sturm-Liouville theory, Cesaro summability and multi-dimensional Fourier analysis, topics which one usually does not find in books at this level. A variety of worked examples and exercises will help the readers to apply their newly acquired knowledge.

About Author

Anders Vretblad is Senior Lecturer of Mathematics at Uppsala University, Sweden.

Contents

Introduction * Preparations * Laplace and Z Transforms * Fourier Series * L^2 Theory * Separation of Variables * Fourier Transforms * Distributions * Multi-Dimentional Fourier Analysis * Appendix A: The ubiquitous convolution * Appendix B: The Discrete Fourier Transform * Appendix C: Formulae * Appendix D: Answers to exercises * Appendix E: Literature

Product Details

  • ISBN13: 9780387008363
  • Format: Hardback
  • Number Of Pages: 272
  • ID: 9780387008363
  • weight: 1280
  • ISBN10: 0387008365
  • edition: 1st ed. 2003. Corr. 2nd printing 2005

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