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I recently moved from Mac OS X to Ubuntu, and I'd like to (as much as possible) only use free software on my new machine. As a theoretical ecologist, I used to rely a lot on Mathematica, and even though there is a linux version out there, I'd really rather use something free.

Some people have mentionned Maxima and sympy (both are fine with me), but I'd really love to hear about other alternatives, and people's experiences with any of these packages.

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up vote 2 down vote accepted

http://en.wikipedia.org/wiki/Category:Free_mathematics_software

http://en.wikipedia.org/wiki/List_of_numerical_libraries

http://en.wikipedia.org/wiki/List_of_numerical_analysis_software

there is pretty much everything you can get for free here.

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Thanks! Do you have any experience with any of them? –  Timothée Poisot Aug 6 '12 at 16:02
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