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A First Course in Fourier Analysis
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A First Course in Fourier Analysis Paperback - 2008

by David W. Kammler


Summary

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.

From the publisher

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.

Details

  • Title A First Course in Fourier Analysis
  • Author David W. Kammler
  • Binding Paperback
  • Edition [ Edition: secon
  • Pages 862
  • Volumes 1
  • Language ENG
  • Publisher Cambridge University Press
  • Date 2008-01-17
  • Illustrated Yes
  • ISBN 9780521709798 / 0521709792
  • Weight 3.23 lbs (1.47 kg)
  • Dimensions 9.59 x 6.99 x 1.68 in (24.36 x 17.75 x 4.27 cm)
  • Library of Congress subjects Fourier analysis
  • Library of Congress Catalog Number 2007037663
  • Dewey Decimal Code 515.243
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A First Course in Fourier Analysis
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A First Course in Fourier Analysis

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A First Course in Fourier Analysis
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A First Course in Fourier Analysis

by David W. Kammler

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Paperback / softback. New. 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
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A First Course in Fourier Analysis

by David W. Kammler

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ISBN 10 / ISBN 13
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Cambridge Univ Pr, 2008. Paperback. New. 2nd edition. 798 pages. 9.75x7.00x1.75 inches.
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A$179.15
A$19.38 shipping to USA
A First Course in Fourier Analysis
Stock Photo: Cover May Be Different

A First Course in Fourier Analysis

by Kammler, David W

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