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 range from straightforward applications of formulas to more complex collections of problems. The text will be a valuable guide for courses in electrical engineering, applied mathematics, and signal processing.
Rezensionen / Stimmen
'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)
Sprache
Verlagsort
Zielgruppe
Illustrationen
Maße
Höhe: 156 mm
Breite: 234 mm
Dicke: 25 mm
Gewicht
ISBN-13
978-0-19-504300-6 (9780195043006)
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Schweitzer Klassifikation
Autor*in
Assistant Professor, Department of MathematicsAssistant Professor, Department of Mathematics, University of Wisconsin - Eau Claire
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.
