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diff --git a/Fourier Series.page b/Fourier Series.page index d7623b1..a49781b 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -79,5 +79,14 @@ Summing these two functions we get the following: <center></center> ##What is the Fourier series actually?</b> +Now, to begin proving that the Fourier series is a true fact let us begin with the following hypthesis: +Let f ____ be a continuous, periodic function where I is some the time interval(period of the function). Then it can be expressed as + +$$ +\begin{array} {ccl} +f & = & \sigma e^{inx}\\ +& = & \a0 \sigma a~n\cos nx + \sigma b~n\sin nx\\ +\end{array} +$$ ##Why is Fourier series useful? </b> |