An introduction to Fourier Series, Fourier Transforms and FFTs. Topics covered include applications to vibrating strings, head conduction, removal of noise and frequency detection, filtering of Fourier Series and improvement of covergence.

1. Basic Aspects of Fourier Series
2. The Discrete Fourier Transform(DFT)
3. The Fast Fourier Transform(FFT)
4. Some Applications
5. Fourier Transforms
6. Fourier Optics
A. User's Manual for FAS
B. Some Computer Programs
Bibliography

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