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A First Course in Fourier Analysis

โœ Scribed by Kammler, David W

Publisher
Cambridge University Press
Year
2008
Tongue
English
Leaves
863
Category
Library
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โœฆ Table of 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.

โœฆ Subjects

Fourier analysis;MATHEMATICS--Infinity;MATHEMATICS -- Infinity

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A First Course in Fourier Analysis
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โœ David W. Kammler ๐Ÿ“‚ Library ๐Ÿ“… 2007 ๐Ÿ› Cambridge University Press ๐ŸŒ English

I'm an electrical engineer, with a focus in signal processing. This is the book I learned Fourier analysis from, and once I did, the classes that EEs usually dread were relatively easy for me. This is the only textbook I actually read every chapter of (and we only covered the first half in the Fou

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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 mathemati

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โœ David W. Kammler ๐Ÿ“‚ Library ๐Ÿ“… 2008 ๐Ÿ› Cambridge University Press ๐ŸŒ English

<span>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 mathematic

A first course in fourier analysis
๐Ÿ“ A first course in fourier analysis
โœ David W. Kammler ๐Ÿ“‚ Library ๐Ÿ“… 2007 ๐Ÿ› Cambridge University Press ๐ŸŒ English

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 mathemati