From b6fdb5522889e3784acd7d8edb52c3cfcff8c384 Mon Sep 17 00:00:00 2001
From: siveshs <siveshs@gmail.com>
Date: Fri, 2 Jul 2010 23:13:45 +0000
Subject: section 3 editing

---
 Fourier Series.page | 9 +++++++++
 1 file changed, 9 insertions(+)

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>![$\cos^{2n}(x) + cos^{2n+1}(x)$](/cos10x-cos11x.gif)</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>
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