A First Course in Fourier Analysis
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This unique book introduces applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourieranalysis, 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. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physi...
This unique book introduces applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourieranalysis, 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. 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.