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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 free software license. Its abilities include symbolic integration, 3D plotting and solving differential equations.
Computable Archive of Mathematics project’s progress in representing abstract concepts of function spaces, topological spaces, general topology in the Wolfram Language.
Wolfram's Director of Technical Communication & Strategy, Jon McLoone, shares his thoughts on why it would not have been possible to create the Wolfram technology stack using a free and open-source model.