## Fourier Series

Fourier series is an expansion of a periodic function of period $2\pi$ which is representation of a function in a series of sine or cosine such as $f(x)=a_{0}+\sum_{n=1}^{\infty }a_{n}cos(nx)+\sum_{n=1}^{\infty }b_{n}sin(nx)$ where $a_{0}$ , $a_{n}$ and $b_{n}$ are constants and are known as fourier coefficients. In applying fourier theorem for analysis of an complex periodic function , given function must satisfy following condition (i) It should be single valued (ii) It should be continuous. Drichlet’s Conditions(sufficient but not necessary) … Continue reading Fourier Series