# Fourier Series tutorials?

1. Mar 4, 2008

### cgw

Looking for fourier series tutorials or even better video lectures on the subject.

2. Mar 5, 2008

### malawi_glenn

Last edited by a moderator: Apr 23, 2017
3. Mar 6, 2008

4. Mar 7, 2008

### naele

In that vein, can anybody put together a few links to help learn/understand the math behind the fourier series? Just from eyeballing I'd guess a solid understanding of integration of trigonometric functions, but I'm sure there's more to it.

5. Jun 8, 2008

### benabean

This guy needs some valium!
Glad I don't have lectures with him at 9 on monday mornings

good lecturer though.

6. Jun 10, 2008

### armis

By far the only one I saw but I REALLY liked it

http://ocw.mit.edu/OcwWeb/Physics/8-03Fall-2004/VideoLectures/index.htm [Broken]

11th lecture

The explanation is great. He shows the contribution of every single sin and cos and then shows some vibrations with a computer program which show all the harmonics which contribute to building the periodic function.

Last edited by a moderator: May 3, 2017
7. Jun 11, 2008

### Defennder

8. Jun 27, 2008

### PhysicsDruid

Naele~

Fourier Series is a *special case* of a more general concept. Perhaps some key words you could look up online or in textbooks would be : orthogonality, basis states, fast fourier transform (FFT), orthonormal basis, maybe even Hilbert Space, or Gram Schmidt, or Legendre polynomials, or Sturm-Liouville.

9. Jan 24, 2009

Last edited by a moderator: Apr 24, 2017
10. Jul 22, 2009

### matonski

I watched the whole 30 lecture series and they are very very good. I got so much out of it. Topics covered are Fourier Series, Fourier Transforms, convolutions, how they apply to linear systems in general, sampling, discrete Fourier Transforms, and higher dimensional Fourier Transforms. He also goes into good depth into how distributions like the Dirac Delta function are rigorously defined by Mathematicians. He's a great teacher and explains everything in such a way that it all seems natural. He's also quite funny too. You can download the whole course from iTunes U as well.

Last edited by a moderator: Apr 24, 2017
11. Jul 22, 2009

### fourier jr

a fourier transform is like a fourier series of a periodic function where the period is infinite

12. Sep 6, 2009

### Edgardo

A blog post on http://learntofish.wordpress.com/2009/08/28/understanding-the-fourier-transform-intuitively/" [Broken].

Last edited by a moderator: May 4, 2017
13. Nov 29, 2009

### -DB

Wow. And I thought my linear algebra professor flew through material like crazy!

14. Dec 17, 2009

### Eric McClean

Last edited by a moderator: May 4, 2017