section 3 editing

1 files changed, 7 insertions, 6 deletions

diff --git a/Fourier Series.page b/Fourier Series.page
index 8ef6bd3..ab344fd 100644
--- a/Fourier Series.page
+++ b/Fourier Series.page
@@ -1,8 +1,8 @@
-##Why Fourier series possible?</b>
+#Why Fourier series possible?</b>
 
 We first begin with a few basic identities on the size of sets. Show that the set of possible functions representing sets is not larger than the set of available functions?
 
-##Why Fourier series is plausible?</b>
+#Why Fourier series is plausible?</b>
 To show that Fourier series is plausible, let us consider some arbitrary trignometric functions and see if it is possible to express them as the sum of sines and cosines:  
 
 $1.\quad\sin^2(x) =  ?$  
@@ -78,9 +78,9 @@ 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>
+#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  
+Let f ____ be a continuous, periodic function where I is some the time interval(period of the function). Then it can be expressed as : 
   
 $$
 \begin{array}{ccl}
@@ -88,5 +88,6 @@ f & = & \Sigma e^{inx}\\
 & = & a0 + \Sigma a~n\cos nx + \Sigma b~n\sin nx\\
 \end{array}
 $$  
-
-##Why is Fourier series useful? </b>
+  
+#Why is Fourier series useful? </b>
+Applications will be covered on Monday July 5, 2010. See you all soon!  
\ No newline at end of file