Fourier Analysis

Hardcover | October 1, 1995

byJames S. Walker

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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 andvibration 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.

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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 andvibration to optics and CAT scanning. The author...

James S. Walker is at University of Wisconsin, Eau Claire.

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Format:HardcoverDimensions:462 pages, 9.57 × 6.46 × 1.22 inPublished:October 1, 1995Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0195043006

ISBN - 13:9780195043006

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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

Editorial Reviews

"The author presents a comprehensive discussion of the theory and application of Fourier series suitable for latter year undergraduates. His presentation is rigorous and yet straightforward and readable. The discussion of applications of Fourier transforms to diffraction problems and thetheory and applications of Random transforms are particularly interesting." --Mathematica