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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]. It can also calculate with exact integers and fractions, native floating-point, and high-precision big floats. Maxima has user-friendly front-ends, an online manual, plotting commands, and numerical...

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.

Matlab alternative. Scilab alternative. GNU Octave alternative. Mathematics software for numerical computation. Ordinary differential equations solver and finite elements solver. It has a console script interpreter, as well as a graphical interface script interpreter, for entering equations and statements, and a line plot display.

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/

Run Maxima programs via the web in batch mode. Maxima is a Computer Algebra System written in Lisp.

NLISP is an extension to Common Lisp that provides an interactive numerical computation environment, similar to packages like Matlab and IDL. NLISP has array syntax, scientific plotting and a numerical library. It currently runs under CMUCL & SBCL Lisp.

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

mupacs is a lisp mode for editing MuPAD code (automatic indentation, fontification, ...), as well as running MuPAD in a subshell, with support for debugger and online documentation

Hosting home-made software which is mathematically proven to be correct. We make use of tools like HOL, PVS, ...

Charlemagne is a versatile genetic programming application which includes a command-line client and an interactive console mode. It features built in input-output mapping support, and is user-extensible for complex fitness evaluation in Python and Lisp

MATHOOL is an online and offline javascript application powered by REDUCE computer algebra system, JSXGraph and other open source javascript programs devoted to scientific calculations and graphic visualization.