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A first course in fourier analysis
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A first course in fourier analysis

Author: David W Kammler
Publisher: Cambridge ; New York : Cambridge University Press, ©2007.
Edition/Format:   Book : English : Rev. edView all editions and formats
Summary:

This 2008 book introduces applied mathematics through Fourier analysis, with applications to studying sampling theory, PDEs, probability, diffraction, musical tones, and wavelets.

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: David W Kammler
ISBN: 9780521883405 0521883407 9780521709798 0521709792
OCLC Number: 171287710
Description: 1 v. (various pagings) : ill. ; 25 cm.
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 Whittaker-Robinson 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.
Responsibility: David W. Kammler.
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