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