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[×ÊÔ´] ¡¾·ÖÏí¡¿CambridgeµÄA first course in Fourier analysis¡¾ÒÑËÑË÷ÎÞÖØ¸´¡¿

A First Course in Fourier Analysis
2nd Edition
David W. Kammler, Southern Illinois University, Carbondale

ISBN: 9780521709798
Publication date: January 2008
864 pages



This unique 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.

Features
• A modern introduction to Fourier analysis and its applications: shows how Fourier analysis can be used to study sampling theory, PDEs, probability, diffraction and real-world applications
• Accessible to students and researchers in mathematics, physics, chemistry, geology and engineering
• Over 540 exercises illustrate and extend mathematical ideas from the text, stimulating the development of problem-solving skills

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