> do you know any module can calculate numeric integral and analytic
> derivative of n-dimension function?

Hi Mohammad,

Your question is on a specialized math topic; we at Tutor probably won't
be able to help you well.  You might want to check with the Scientific
Python folks instead:

    http://www.scipy.org/

I'm uncertain if there is a good Python symbolic math package.  If you're
willing to step out of the Python space, you may want to look at Maxima:

    http://maxima.sourceforge.net/


Good luck to you!

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