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A first course in Fourier analysis

Author: David W Kammler
Publisher: Upper Saddle River, NJ : Prentice Hall, 2000.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Provides an introduction to modern applied mathematics through Fourier analysis and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical  Read more...

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Document Type: Book
All Authors / Contributors: David W Kammler
ISBN: 0135787823 9780135787823
OCLC Number: 43118245
Description: xv, 790 pages : illustrations ; 25 cm
Contents: Ch. 1. Fourier's Representation for Functions on R, T[subscript p], Z, and P[subscript N] --
Ch. 2. Convolution of Functions on R, T[subscript p], Z, and P[subscript N] --
Ch. 3. The Calculus for Finding Fourier Transforms of Functions on R --
Ch. 4. The Calculus for Finding Fourier Transforms of Functions on T[subscript p], Z, and P[subscript N] --
Ch. 5. Operator Identities Associated with Fourier Analysis --
Ch. 6. The Fast Fourier Transform --
Ch. 7. Generalized Functions on R --
Ch. 8. Sampling --
Ch. 9. Partial Differential Equations --
Ch. 10. Wavelets --
Ch. 11. Musical Tones --
Ch. 12. Probability --
App. 0. The Impact of Fourier Analysis --
App. 1. Functions and Their Fourier Transforms --
App. 2. The Fourier Transform Calculus --
App. 3. Operators and Their Fourier Transforms --
App. 4. The Whittaker-Robinson Flow Chart for Harmonic Analysis --
App. 5. FORTRAN Code for a Radix 2 FFT --
App. 6. The Standard Normal Probability Distribution --
App. 7. Frequencies of the Piano Keyboard.
Other Titles: Fourier analysis
Responsibility: David W. Kammler.

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