A first course in Fourier analysis
 Responsibility
 David W. Kammler.
 Language
 English.
 Edition
 Rev. ed.
 Imprint
 Cambridge ; New York : Cambridge University Press, c2007.
 Physical description
 1 v. (various pagings) : ill. ; 25 cm.
Access
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Math & Statistics Library

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QA403.5 .K36 2007

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QA403.5 .K36 2007
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Creators/Contributors
 Author/Creator
 Kammler, David W., 1940
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 1. Fourier's representation for functions on R, Tp, Z, and PN 2. Convolution of functions on R, Tp, Z and PN 3. The calculus for finding Fourier transforms of functions of R 4. The calculus for finding Fourier transforms of functions of Tp, Z, and PN 5. Operator identities associated with Fourier analysis 6. The fast Fourier transform 7. Generalized functions on R 8. Sampling 9. Partial differential equations 10. Wavelets 11. Musical tones 12. Probability Appendix 0. The impact of Fourier analysis Appendix 1. Functions and their Fourier transforms Appendix 2. The Fourier transform calculus Appendix 3. Operators and their Fourier transforms Appendix 4. The WhittakerRobinson flow chart for harmonic analysis Appendix 5. FORTRAN code for a Radix 2 FFT Appendix 6. The standard normal probability distribution Appendix 7. Frequencies of the piano keyboard Index.
 (source: Nielsen Book Data)
 Publisher's 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. Realworld 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.
(source: Nielsen Book Data)  Supplemental links

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Publisher description
Subjects
 Subject
 Fourier analysis.
Bibliographic information
 Publication date
 2007
 ISBN
 9780521709798 (pbk. : alk. paper)
 0521709792 (pbk. : alk. paper)
 9780521883405 (hardback : alk. paper)
 0521883407 (hardback : alk. paper)