In mathematics, a Fourier series decomposes a periodic function or periodic signal into a sum of simple oscillating functions, namely sines and cosines (or complex exponentials). The study of Fourier series is a branch of Fourier analysis. Fourier series were introduced by Joseph Fourier (1768–1830) for the purpose of solving the heat equation in a metal plate. It led to a revolution in mathematics, forcing mathematicians to reexamine the foundations of mathematics and leading to many modern theories such as Lebesgue integration.  Wikipedia Here are the Fourier Series for a few of the simplest and most common waveforms. (See general formula for Fourier Series)  Triangular Wave   Square Wave   Halfwave Rectified Sine Wave   Fullwave Rectified Sine Wave  
