A First Course in Fourier Analysis by David W Kammler

A First Course in Fourier Analysis by David W Kammler

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Summary

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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A First Course in Fourier Analysis by David W Kammler

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.
SKU Unavailable
ISBN 13 9780521709798
ISBN 10 0521709792
Title A First Course in Fourier Analysis
Author David W Kammler
Condition Unavailable
Binding Type Paperback
Publisher Cambridge University Press
Year published 2008-01-17
Number of pages 862
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable