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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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Harmonic analysis. Fourier analysis --- Numerical approximation theory --- 51 --- Mathematics --- 51 Mathematics

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Group theory --- Harmonic analysis. Fourier analysis --- Representation des groupes --- Representations of groups --- Semisimple Lie groups --- Spherical harmonics --- Vertegenwoordiging van groepen --- Representations of groups. --- Semisimple Lie groups. --- Spherical harmonics.

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Group theory --- Fourier analysis --- Mathematical statistics --- Probabilities --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Groups, Theory of --- Substitutions (Mathematics) --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Risk --- Statistics, Mathematical --- Statistics --- Sampling (Statistics) --- Analysis, Fourier --- Mathematical analysis --- Statistical methods --- 519.212 --- 519.212 Abstract probability theory. Combinatorial probabilities. Geometric probabilities --- Abstract probability theory. Combinatorial probabilities. Geometric probabilities --- Stochastic processes --- Analyse de Fourier --- Théorie des groupes --- Statistique mathématique --- Probabilités