Maxima is a fairly complete computer algebra system written in lisp with an emphasis on symbolic computation. It is based on DOE-MACSYMA and licensed under the GPL. Its abilities include symbolic integration, 3D plotting, and an ODE solver.
Maxima is great for a free computer algebra system. It's not as good as Mathematica or Maple, but then again, it's free. It's quite useful as an occasional scratchpad.
Maxima is very stable and reliable but the documentation could be better ...
Easy to learn, easy to use, reliable.
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