The Fourier series is the basis for much of digital signal processing, ... There are no equations, just engaging animations that show how any function can be decomposed into a set of sine waves.

The Theory of Functions of a Real Variable and the Theory of Fourier's Series. By Prof. E. W. Hobson. Vol. 1. Third edition, revised throughout and enlarged.

Reviews ordinary differential equations, including solutions by Fourier series. Physical derivation of the classical linear partial differential equations (heat, wave, and Laplace equations). Solution ...

Solution of these equations via separation of variables, with Fourier series, Fourier integrals, and more general eigenfunction expansions. Equivalent - Duplicate Degree Credit Not Granted: APPM 5350 ...