A First Course in Fourier Analysis - Hardcover

Kammler, David W.

Hardcover

ISBN 10: 0521883407 ISBN 13: 9780521883405

Verlag: Cambridge University Press, 2008

Inhaltsangabe

Introducing applied mathematics through Fourier analysis, this book develops a unified theory of discrete and continuous 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.

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Reseña del editor

This 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.

Product Description

Book by Kammler David W

Details zur Ausgabe

• Verlag: Cambridge University Press
• Erscheinungsdatum: 2008
• ISBN 10: 0521883407
• ISBN 13: 9780521883405
• Einband: Tapa dura
• Sprache: Englisch
• Auflage: 2
• Anzahl der Seiten: 864