View Single Post
  #5   Spotlight this post!  
Unread 29-04-2009, 20:48
Adam Y.'s Avatar
Adam Y. Adam Y. is offline
Adam Y.
no team (?????)
 
Join Date: Mar 2002
Location: Long Island
Posts: 1,979
Adam Y. is a splendid one to beholdAdam Y. is a splendid one to beholdAdam Y. is a splendid one to beholdAdam Y. is a splendid one to beholdAdam Y. is a splendid one to beholdAdam Y. is a splendid one to beholdAdam Y. is a splendid one to behold
Send a message via AIM to Adam Y.
Re: Fourier Series Expansion Question

Quote:
Originally Posted by Chris Hibner View Post
A Fourier series is just one small example in my favorite (and as far as I'm concerned, the most interesting and exciting) branch of mathematics.

If you REALLY want to understand Fourier series expansion, I HIGHLY recommend you take a course in Linear Algebra, and maybe a Linear Systems class, usually given in the control systems area of engineering.

For all of you that have had basic matrix algebra and calculus 3, you have seen vector projections. That is, you can project any vector onto another vector to determine its projection (like a shadow) onto that vector. Taking this a little further, you then learn how to project any vector onto a set of "basis" vectors - this gives you the "components" of the original vector. In calc 3 you learned the (i,j,k) basis vectors, which more or less breaks down to the (x,y,z) coordinates in 3-D space.
Thanks. That aspect of the transform theory has always confused me to no end. I could always get over the fact that Im working in a domain that has no relevance to time because as Oliver Heaviside once said, "Why should I refuse a good dinner simply because I don't understand the digestive processes involved?" Convolution intergral or multiplication? Convolution integral or multipication? The answer is self explanatory.
__________________
If either a public officer or any one else saw a person attempting to cross a bridge which had been ascertained to be unsafe, and there were no time to warn him of his danger, they might seize him and turn him back without any real infringement of his liberty; for liberty consists in doing what one desires, and he does not desire to fall into the river. -Mill

Last edited by Adam Y. : 29-04-2009 at 20:57.
Reply With Quote