|February 21st, 2012, 09:38 AM||#1|
Joined: Feb 2012
Why can a periodic function be written as a Fourier Series?
Hello everyone. The title is self-explanatory. I need help because I've seen this in the ordinary differential equations course I'm taking (yes, the mit one), but it doesn't give any proof.
He simply states that we can express any continuous periodic function as a Fourier Series. Yes, I know that intuitively it makes sense, but I still want the proof.
Is it too hard for a first ordinary differential equations course? If not, does anyone here know this demonstration? If so, does anyone here know in which course I'll be stumbling upon it?
Thanks in advance,
|February 21st, 2012, 06:11 PM||#2|
Joined: Dec 2006
Read Chapter 2 of Fourier Series by I. N. Sneddon for a proof under a slightly more restrictive condition on the function.
|fourier, function, periodic, series, written|
|Thread||Thread Starter||Forum||Replies||Last Post|
|Integral that cannot be written in term of elem function||Fanascom||Calculus||8||October 23rd, 2013 06:39 AM|
|Show that sin(x^3) is not a periodic function.||suugakuedu||Algebra||2||December 27th, 2012 06:23 AM|
|periodic function??||ABHISHEK MEENA||Calculus||1||December 26th, 2012 12:48 PM|
|Fourier series of a function||frank73||Real Analysis||0||November 2nd, 2009 10:01 AM|
|how to solve the fourier series of this function||llinocoe||Real Analysis||1||February 23rd, 2009 03:18 AM|