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ISBN: 0195043006 9780195043006 Year: 1988 Publisher: New York Oxford University Press
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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 demonstrate straightforward applications of formulas as well as more complex problems.
Harmonic analysis. Fourier analysis --- Fourier analysis. --- Fourier Analysis.
ISBN: 9780521883405 0521883407 9780521709798 0521709792 9780511619700 Year: 2007 Publisher: Cambridge Cambridge University Press
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This unique book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. FT calculus and generalized functions are then used to study the wave equation, diffusion equation, and diffraction equation. Real-world applications of Fourier analysis are described in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physicists, chemists, geologists, electrical engineers, mechanical engineers, and others.
ISBN: 0521358841 Year: 1988 Publisher: Cambridge Cambridge University Press
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ISBN: 052105107X Year: 1970 Publisher: Cambridge Cambridge University Press
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Year: 1957 Publisher: Berlin
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ISBN: 0817639411 Year: 1998 Publisher: Boston Birkhäuser
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Year: 1970 Publisher: New York Simon and Schuster
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