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.
Sage is a free open source mathematics software system spanning a huge range of mathematics including algebra, calculus, combinatorics, number theory and graph theory.
FreeMat is a free environment for rapid engineering and scientific prototyping and data processing. It is similar to commercial systems such as MATLAB from Mathworks, and IDL from Research Systems, but is Open Source. FreeMat is available u...
Open Source Library of Scientific Tools. SciPy supplements the popular Numeric module, gathering a variety of high level science and engineering modules together as a single package. Within SciPy are modules for graphics and plotting, opti...