Fourier Series (http://jowett.home.cern.ch/jowett/ComputingNotes/wave.gif) What is a Fourier Series   Math of a  Fourier Series   Bibliography Math of a Fourier Series             When     Above is the mathematical process by which a function from, –Pi to Pi, is transformed in to a trigonometric series. The fist step is to solve for the coefficient a0, ak, and bk. This is the most difficult part. After the coefficients are solved for it is simply a mater of plugging them in to the top equation. The result is a very nice series that can be used to approximate the function. One nice thing about describing a function as a series is that a computer can then be easily programmed to evaluate it. The following are examples of a Fourier approximation for different values of n. It can easily be seen that the higher the value of n the closer the approximation.   http://www.sosmath.com/fourier/pic/pic01.gif