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ISBN: 0135787823 9780135787823 Year: 2000 Publisher: Upper Saddle River, N.J. Prentice Hall
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ISBN: 0824769031 Year: 1981 Publisher: New York
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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: 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.
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ISBN: 3540133550 0387133550 3540389024 9783540133551 Year: 1984 Volume: 1067 Publisher: Berlin New York Heidelberg Tokyo Springer
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Harmonic analysis. Fourier analysis --- Fourier series. --- Series, Orthogonal. --- Summability theory.
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ISBN: 0470173955 Year: 1968 Publisher: New York, NY : J. Wiley,
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ISBN: 3540097481 0387097481 038709749X 3540386025 9783540097488 Year: 1980 Volume: 779 Publisher: Berlin : Springer-Verlag,
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Harmonic analysis. --- Harmonic analysis. Fourier analysis --- Analyse harmonique
ISBN: 2700701801 2700702751 2700703006 Year: 1980 Publisher: Paris Aubier-Montaigne
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ISBN: 0444877452 9780444877451 9780080872223 0080872220 1281788333 9786611788339 Year: 1985 Volume: 111 Publisher: Amsterdam ; New York : New York, N.Y. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
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Recent Progress in Fourier Analysis
Harmonic analysis. Fourier analysis --- Fourier analysis --- 517.52 --- 517.52 Series and sequences --- Series and sequences --- Analysis, Fourier --- Mathematical analysis --- Congresses
ISBN: 0849382750 Year: 2001 Publisher: Boca Raton CRC
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Strikingly different from typical presentations, Principles of Fourier Analysis provides an introduction to and comprehensive overview of the mathematical theory of Fourier analysis as it is used in applications in engineering, science, and mathematics. It presents the general results and formulas most useful to those who use Fourier analysis in their work, complete with indications of the limitations of those results and formulas. The author's uniquely accessible approach stimulates readers' understanding and appreciation of the fundamental concepts and helps them develop the ability to handle the more sophisticated mathematics ultimately required by Fourier analysis.
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