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Fourier Analysis - James S. Walker

Hardcover

Published: 14th July 1988
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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 and vibration to optics and CAT scanning. The author provides in-depth coverage of the techniques and includes exercises that range from straightforward applications of formulas to more complex collections of problems. The text will be a valuable guide for courses in electrical engineering, applied mathematics, and signal processing.

"Here is a substantial textbook developed for seniors majoring in mathematics and physics and covering the topics in mathematical analysis with which Fourier analysis has been associated. . . .very suitable for its intended purpose." --Applied Optics "The author has succeeded in presenting an impressive range of applications, which would be of considerable interest to strong majors in mathematical physics or applied mathematics." --Mathematical Reviews "This is a very attractive book: pleasing format on glossy pages together with an inviting and relaxed presentation." --American Mathematical Monthly "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 the theory and applications of Random transforms are particularly interesting." --Mathematica

PART I: Introduction to Fourier Series PART II: Convergence of Fourier Series PART III: Applications of Fourier Series PART IV: Some Harmonic Function Theory PART V: Multiple Fourier Series PART VI: Basic Theory of the Fourier Transform PART VII: Applications of Fourier Transforms 1: Partial Differential Equations 2: Fourier Optics PART VIII: Legendre Polynomials and Spherical Harmonics PART IX: Some Other Transforms 1: The Laplace Transform 2: The Radon Transform PART X: A Brief Introduction to Bessel Functions A: Divergence of Fourier Series B: Brief Tables of Fourier Series and Integrals

ISBN: 9780195043006
ISBN-10: 0195043006
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 460
Published: 14th July 1988
Publisher: Oxford University Press Inc
Country of Publication: US
Dimensions (cm): 24.3 x 16.4  x 2.9
Weight (kg): 1.08