Fast Fourier Transforms

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This text provides a clear treatment of Fourier series, Fourier tranforms, and FFTs. The sofware included with the book and updated for this edition enables you to generate images of Fourier analysis described in the text. Topics include applications to vibrating strings (including computer animation), heat conduction, removal of noise and frequency detection, filtering of Fourier series and improvement of convergence, electron diffraction, imaging with coherent and incoherent monochromatic light, spectral analysis with diffraction gartings, Fourier transform properties of lenses, Poisson summation, sampling theory and aliasing.