The module piecewise.py has fairly extensive functionality for the
computation of Fourier series of piecewise defined periodic functions.
It even allows filters. There are examples at
http://www.sagemath.org/doc/html/const/node12.html
http://www.sagemath.org/hg/sage-main/file/cc1e12a492fc/sage/functions/piecewise.py
I think it is well documented but if tere are any questions, please just ask.
On Mon, Apr 14, 2008 at 7:47 PM, William Stein <[EMAIL PROTECTED]> wrote:
>
> ---------- Forwarded message ----------
> From: James Morrow <[EMAIL PROTECTED]>
> Date: Mon, Apr 14, 2008 at 4:20 PM
> Subject: fourier series
> To: [EMAIL PROTECTED], William Stein <[EMAIL PROTECTED]>
>
>
> Hello,
>
> How do I use sage to compute a Fourier series? The general question
> is: How to compute the nth term? I guess I have to use maxima. How
> do I call maxima and then give it the imput? I don't just want (say)
> the 5th term, but the nth term. Do I make n a variable (integer
> variable)? Maybe I can't do it in this generality, but for instance
> this amounts to computing (int_{pi}^{pi} f(t)sin (n*t)dt)\pi, where I
> declare n is an integer variable.
>
> Jim
>
>
> --
> William Stein
> Associate Professor of Mathematics
> University of Washington
> http://wstein.org
>
> >
>
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