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Zusatztext '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.'Mathematika! 36 (1989) Klappentext 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. Zusammenfassung 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. Inhaltsverzeichnis Introduction to Fourier Series; Convergence of Fourier Series; Applications of Fourier Series; Some harmonic function theory; Multiple Fourier Series; Basic theory of the Fourier transform; Applications of Fourier transforms: 1) Partial differential equations; 2) Fourier optics; Legendre polynomials and spherical harmonics; Some other transforms: 1) The Laplace transform; 2) The Radon transform; A brief introduction to Bessel functions: A) Divergence of Fourier Series; B) Brief tables of Fourier Series and integrals.
