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Methods of Applied Mathematics with a MATLAB Overview

  • Jon H. Davis

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Jon H. Davis
    Pages 1-4
  3. Jon H. Davis
    Pages 5-78
  4. Jon H. Davis
    Pages 79-161
  5. Jon H. Davis
    Pages 279-343
  6. Jon H. Davis
    Pages 345-409
  7. Jon H. Davis
    Pages 411-542
  8. Jon H. Davis
    Pages 543-634
  9. Jon H. Davis
    Pages 635-684
  10. Jon H. Davis
    Pages 685-691
  11. Jon H. Davis
    Pages 693-710
  12. Jon H. Davis
    Pages 711-715
  13. Back Matter
    Pages 716-721

About this book

Introduction

Broadly organized around the applications of Fourier analysis, Methods of Applied Mathematics with a MATLAB Overview covers both classical applications in partial differential equations and boundary value problems, as well as the concepts and methods associated to the Laplace, Fourier, and discrete transforms. Transform inversion problems are also examined, along with the necessary background in complex variables. A final chapter treats wavelets, short-time Fourier analysis, and geometrically-based transforms. The computer program MATLAB is emphasized throughout, and an introduction to MATLAB is provided in an appendix. Rich in examples, illustrations, and exercises of varying difficulty, this text can be used for a one- or two-semester course and is ideal for students in pure and applied mathematics, physics, and engineering.

Keywords

Fourier analysis Fourier transform MATLAB Potential applications of mathematics complex variables discrete Fourier transform fast Fourier transform fast Fourier transform (FFT) harmonic analysis

Authors and affiliations

  • Jon H. Davis
    • 1
  1. 1.Deparment of Mathematics and StatisticsQueen’s UniversityCanada

Bibliographic information