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Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, polynomials, and sets, lists, vectors, matrices, and tensors. Maxima yields high
Sage is mathematical software, very much in the same vein as MATLAB, MAGMA, Maple, and Mathematica. Unlike these systems, every component of Sage is GPL-compatible. The interpretative language of Sage is Python, a mainstream programming language. Use Sage for studying a huge range of mathematics
(from the scilab homepage...) Scilab is a scientific software package for numerical computations providing a powerful open computing environment for engineering and scientific applications. Scilab is an open source software. Since 1994 it has been distributed freely along with the source code
The ATLAS (Automatically Tuned Linear Algebra Software) project is an ongoing research effort focusing on applying empirical techniques in order to provide portable performance. It provides C and Fortran77 interfaces to a portably efficient BLAS implementation, as well as a few routines from LAPACK.
GeoGebra is a dynamic mathematics software that joins geometry, algebra and calculus. Two views are characteristic of GeoGebra: an expression in the algebra window corresponds to an object in the geometry window and vice versa.
Mathomatic is a portable, general purpose CAS (Computer Algebra System) written entirely in C. This is a console mode application that does symbolic math and quick calculations. It compiles and runs under any operating system with a C compiler. There are no dependencies other than the standard C
KAlgebra is a calculator with symbolic and analysis features that lets you plot 2D and 3D functions as well as to easily calculate mathematical expressions.
SINGULAR is a Computer Algebra System for polynomial computations with special emphasis on the needs of commutative algebra, algebraic geometry, and singularity theory.
PolyBoRi is implemented as a C++ library for Polynomials over Boolean Rings, which provides high-level data types for Boolean polynomials. A python-interface yields extensible algorithms for computing Groebner bases over Boolean Rings.
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