From 32c0eb851196794209d1f2750affe869def0f2e1 Mon Sep 17 00:00:00 2001 From: siveshs Date: Fri, 2 Jul 2010 03:05:21 +0000 Subject: playing with the wiki --- Fourier Series.page | 16 ++++++++++------ 1 file changed, 10 insertions(+), 6 deletions(-) diff --git a/Fourier Series.page b/Fourier Series.page index 403c20c..eab8daf 100644 --- a/Fourier Series.page +++ b/Fourier Series.page @@ -1,12 +1,16 @@ Lecture on Fourier Series: -1. Why Fourier is possible? -2. Why Fourier series is plausible? -3. What is the Fourier series actually? -4. Why is Fourier series useful? -Why Fourier series possible? +##Why Fourier series possible? 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? +##Why Fourier series is plausible? +To show that Fourier series is plausible, let us consider some fairly random functions and see if it is possible to express them as the sum of sines and cosines: $x^2$ + $$1. \cos(2x) = 1 - 2 \sin^2(x)$$ + +##What is the Fourier series actually? + +##Why is Fourier series useful? + +$(\nearrow)\cdot(\uparrow)=(\nwarrow)$ \ No newline at end of file -- cgit v1.2.3