Basic Math


Fourier series of a function f(x) is

(1)   \begin{equation*} f(x) = a_o + \sum\limits_1^\infty [a_n cos(nx) + b_n sin(nx)] \end{equation*}

where,
a_o = {1 \over 2\pi}\int\limits_{-\pi}^{\pi} f(x) dx

a_n = {1 \over \pi} \int\limits_{-\pi}^{\pi} f(x)\cos(nx) dx

b_n = {1 \over \pi} \int\limits_{-\pi}^{\pi} f(x)\sin(nx) dx

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