Fourier Analysis / Edition 1

by James S. Walker

Overview

Fourier analysis is a mathematical technique for decomposing a signal into identifiable components. It is used in the study of all types of waves. This book explains the basic mathematical theory and some of the principal applications of Fourier analysis in areas ranging from sound and vibration to optics and CAT scanning. The author provides in-depth coverage of the techniques and includes exercises that demonstrate straightforward applications of formulas as well as more complex problems.

Product Details

ISBN-13:	9780195043006
Publisher:	Oxford University Press
Publication date:	07/14/1988
Edition description:	New Edition
Pages:	462
Product dimensions:	6.20(w) x 9.30(h) x 1.30(d)

About the Author

University of Wisconsin, Eau Claire

Table of Contents

PART I: Introduction to Fourier SeriesPART II: Convergence of Fourier SeriesPART III: Applications of Fourier SeriesPART IV: Some Harmonic Function TheoryPART V: Multiple Fourier SeriesPART VI: Basic Theory of the Fourier TransformPART VII: Applications of Fourier Transforms1. Partial Differential Equations2. Fourier OpticsPART VIII: Legendre Polynomials and Spherical HarmonicsPART IX: Some Other Transforms1. The Laplace Transform2. The Radon TransformPART X: A Brief Introduction to Bessel FunctionsA. Divergence of Fourier SeriesB. Brief Tables of Fourier Series and Integrals