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Mathics is a free, general-purpose online computer algebra system featuring Mathematica-compatible syntax and functions. It is backed by highly extensible Python code, relying on SymPy for most mathematical tasks.

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.

Computer Algebraic System, derived from Macsyma.

wxMaxima is a cross platform GUI for the computer algebra system Maxima based on wxWidgets.

Online Book by Gerald Teschl. University of Vienna. American Mathematical Society AMS. 2010

Maple™ is the essential technical computing software for today's engineers, mathematicians, and scientists.

MATLAB® is a high-level language and interactive environment that enables you to perform computationally intensive tasks faster than with traditional programming languages such as C, C++, and Fortran.

Kevin Klement Some people are loathe to try new soft ware once they've found a few applications they like. I'm the opposite. I'm constantly trying out new programs, even when I'm perfectly happy with the ones I already have. I've tried quite a few LATEX editors in particular. I thought I'd try to put my horrible time-wasting habit to some good use by providing a run-down of my experiences with eight nice LATEX editors.