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diff --git a/Fourier Series.page b/Fourier Series.page index 37c7dd0..ac272d2 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -80,7 +80,7 @@ Summing these two functions we get the following: #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 hypothesis: -Let $f : \mathbb I \rightarrow \mathbb C$ be a continuous, periodic function where $I$ is some the time interval(period of the function). Then it can be expressed as : +Let $f : \mathbb I \rightarrow \mathbb C$ be a continuous, periodic function where $I$ is some time interval(period of the function). Then it can be expressed as : $$ \begin{array}{ccl} @@ -89,5 +89,7 @@ f & = & \Sigma e^{inx}\\ \end{array} $$ + +We begin proving this hypothesis by #Why is Fourier series useful? </b> Applications will be covered on Monday July 5, 2010. See you all soon!
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