Fourier Series What is a Fourier series? The formal way of putting it: The function space can be described by a linear combination of orthogonal functions, called a basis of that space. When developing a function f(x) into a Taylor series, we use a base consisting of (1, x, x^2, x^3, ..., x^n) which spans the entire function space. In Fourier series, we simply use a different basis, a different set of orthogonal functions to span our space. These functions are: (1, cosx, sinx, cos2x, sin2x, ..., cosnx, sinnx). In other words: Fourier series are a method of approximating a function, similarly to Taylor series, but with trigonometric funcions instead of powers of x. The Fourier series have tremendous importance in electric engineering. In this task, we will construct a function which, under most simple conditions, should be able to find the complete analytical expression of the Fourier series of a function. This is a very basic progarm, intended for educational purposes only. It will find a0, an and bn if for f(x) in the range a