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Maxima is a computer algebra system comparable to commercial systems like Mathematica and Maple. It emphasizes symbolic mathematical computation: algebra, trigonometry, calculus, and much more. For example, Maxima solves x^2-r*x-s^2-r*s=0 giving the symbolic results [x=r+s, x=-s]. Maxima can calculate with exact integers and fractions, native floating-point and high-precision big floats. Maxima has user-friendly front-ends, an on-line manual, plotting commands, and numerical libraries...

Axiom is a computer algebra system. It consists of an interpreter, a compiler and a library of algorithms. Axiom is an excellent research platform as well as a useful tool for scientific programming.

CLISP is a portable ANSI Common Lisp implementation and development environment by Bruno Haible. Interpreter, compiler, debugger, CLOS, MOP, FFI, Unicode, sockets, CLX. UI in English, German, French, Spanish, Dutch, Russian, and Danish.

wxMaxima is a cross-platform graphical front-end for the computer algebra system Maxima based on wxWidgets. It provides nice display of mathematical output and easy access to Maxima functions through menus and dialogs. This project has moved to github and can be reached at http://wxmaxima-developers.github.io/wxmaxima/

FrAid(FRactal AID) is an interface to Java, allowing it to proc. math. data(functions/equations). A compl. standalone system utilizing the FrAid prog. lang. is available(no need to be Java programmer to use it!). Use instead of Matlab. High res. graphics

kin is a set of libraries and tools supporting meta-programming for engineering and technical computing applications. This JVM version of kin has been superseded by the stand-alone version being developed at http://purl.org/net/kin.