Periodic Phenomena and Fourier Series

Playing with Familiar Periodic Phenomena: Sound

Playing with Familiar Periodic Phenomena: Music and Instruments

Roll over Beethoven: Random Notes and Instruments

Periodic Functions of wavelength λ using the modulus function:

Demonstration of the orthogonality of the trigonometric functions

Fourier Series: Using The Derived Formulas for Determination of Fourier Foefficients

Fourier Series: Example using Derived Functions

Fourier Series Coefficients using Mathematica's FourierSeries package: Preparing the Input Function

Efficient Calculation of Truncated Fourier Series

Convergence of Fourier Series: Gibbs Phenomenon

Created by Wolfram Mathematica 6.0  (24 October 2007)