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@Computational AlgebraUnder Development
@Software

See Also:
MATLAB
Maple
Mathcad
Mathematica

Surf these sites:
AXIOM -- Symbolic solver complete with a high-level interactive language, user extensible library and visualisation tool for the manipulation of graphical output. For Unix and Windows.
Algebra Problem Solver -- Personal Algebra Tutor - Enter your algebra problems and get instant step-by-step solutions with explanations.
CLICAL -- CLICAL, a calculator type computer program for vectors, complex numbers, quaternions, bivectors, spinors, and multivectors in Clifford algebras
CoCoA -- a special-purpose system for doing Computations in Commutative Algebra.
Comparison of Polynomial-Oriented Computer Algebra Systems -- by Robert H. Lewis and Michael Wester. Presented as a poster to the 1999 ISSAC Conference
Computer Algebra and Problem Solving Environments -- Abstract for Stanly Steinberg''s article in "Comparative CAS Reviews and Philosophy", suggesting 6 ways in which computer algebra systems could be improved.
DERIVE for Windows -- Compact, easy to use, reliable computer algebra software. It intelligently applies the rules of algebra, trigonometry, calculus and matrix algebra to solve a wide range of mathematical problems. This nonnumeric approach goes far beyond the capabilities of dedicated statistics packages and equation solvers that use only approximate numerical techniques.
Free Complex Matrix and Vector classes -- Two C++ classes: implementations of a matrix and a vector of complex numbers. Free to use for everyone.
GB and FGB -- Software for solving algebraic equations
Groups & Graphs -- Groups & Graphs is a software package for graphs, digraphs, combinatorial designs, and their automorphism groups.
Macaulay 2 -- A new software system devoted to supporting research in algebraic geometry and commutative algebra.
MuPAD -- Free, Open Source computer algebra system for symbolic and numerical computations. Library routines for linear algebra, integration, polynomials, graphics and more. Can generate and be called from C or Fortran code. Started in 1989 and used worldwide. [In English and Deutsch]
REDUCE -- Program for general algebraic computations of interest to mathematicians, scientists and engineers. Over 20 years old. Comes with full source code. Site even lets you run REDUCE remotely on their machine, to test it out.
RWCA''00 -- Rhine Workshop on Computer Algebra
SINGULAR -- a Computer Algebra System for polynomial computations with special emphasize on the needs of commutative algebra, algebraic geometry, and singularity theory.
SymbolicNet -- Directory of links on Symbolic Algebraic Computation: Frequently Asked Questions, Live Demos, software for download, events, bibliography, research groups, researcher directory and more.
Symmetrica -- collection of routines, written in the programming language C, for doing computations in the representation theory of classical and symmetric groups, and related areas.
ZEN -- A toolbox for computation in finite rings

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