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A First Course in Fourier Analysis

David W. Kammler, - Personal Name;

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.


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Series Title
-
Call Number
-
Publisher
: Cambridge University Press., 2010
Collation
-
Language
English
ISBN/ISSN
9780511619700
Classification
NONE
Content Type
text
Media Type
computer
Carrier Type
-
Edition
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Subject(s)
Mathematics, Engineering
Engineering Mathematics and Programming
Abstract Analysis
Specific Detail Info
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Statement of Responsibility
David W. Kammler,
Other Information
Cataloger
Arin
Source
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