From 812f04f58d9740b8222537070de8012ea55acdd2 Mon Sep 17 00:00:00 2001 From: siveshs Date: Fri, 2 Jul 2010 18:51:14 +0000 Subject: section 2 done --- Fourier Series.page | 6 ++++-- 1 file changed, 4 insertions(+), 2 deletions(-) (limited to 'Fourier Series.page') diff --git a/Fourier Series.page b/Fourier Series.page index ab12979..e01fec9 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -55,7 +55,7 @@ e^{-i\theta} & = & \cos \theta - i \sin \theta\\ \end{array}{ccl} $$ -Solving for \cos \theta and \sin \theta\\ +Solving for $\cos \theta$ and $\sin \theta$ $$ \begin{array}{ccl} @@ -63,7 +63,9 @@ $$ \sin \theta & = & \frac{1}{2i}e^{i\theta} - \frac{1}{2i}e^{-i\theta}\\ \end{array} $$ - + +It is easy to show that any product of cosines and sines can be expressed as the product of exponentials which will reduce to a sum of sines and cosines. + ##What is the Fourier series actually? ##Why is Fourier series useful? -- cgit v1.2.3