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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.
Numerical mathematics platform, Matlab alternative
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.
Paessler: Easy to Use With Enterprise Power. Free Trial
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Little b is a Lisp-based language which allows scientists to build shareable, reusable mathematical models of complex systems based on shared parts. The initial focus is molecular and multicellular networks.
Project web page: http://www.littleb.org