Albert - Albert is an interactive program to assist the specialist in the study of nonassociative algebra: the main problem addressed is the recognition of polynomial identities in varieties of nonassociative algebras. Download source code in C.
Aldor - Originally an extension to Axiom, now a separate product. Binaries are available free for non-profit use, with documentation, tips, projects and links.
Algebra Cheat - Program solves variable equations and gives explanations of steps used.
Algebra Helper - Helps students with equations and inequalities, simplifying expression, graphing and complex numbers. Includes problem solving exercises.
Algebra Problem Solver - Personal Algebra Tutor - Enter your algebra problems and get instant step-by-step solutions with explanations.
Algebra Word Problem Tutor:Miss Lindquist - The world's first web-delivered self-improving intelligent tutoring system able to tutor students in writing expressions for algebra word problems.
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. No longer produced: support ceases at the end of 2001.
CMAT - A matrix calculator program, written in C. Calculations can be performed on matrices with complex rational coefficients using exact arithmetic routines, as well as on matrices with elements mod p.
CoCoA - A special-purpose system for computations in Commutative Algebra.
Combinatorial Representation Theory (CREP) - CREP is designed to deal with categories whose morphism spaces are finite-dimensional over a field k. The main example of a category with this property is the category of finite-dimensional representations of an associative unital k-algebra.
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.
Felix - Computer algebra system for computation in commutative and non-commutative rings and modules. Win32, Unix.
Fermat - Computer algebra system that does arithmetic of arbitrarily long integers and fractions, symbolic calculations, graphics, and other numerical calculations. Free download. Documentation.
FINITAS - Discussion group for this package for the construction and analysis of finite algebraic structures such as loops, quasigroups, and groups.
GB and FGB - Software for solving algebraic equations: GB computes Groebner bases and FGB solves polynomial systems.
GIAC - Is A Computer algebra system. A semi-classical CAS by Bernard Parisse, available for Windows, Linux.
GiNaC - An open framework for symbolic computation within the C++ programming language. The name GiNaC is an iterated and recursive abbreviation for "GiNaC is Not a CAS", where CAS stands for Computer Algebra System. Its design is revolutionary in a sense that contrary to other CAS it does not try to provide extensive algebraic capabilities and a simple programming language but instead accepts a given language (C++) and extends it by a set of algebraic capabilities. It is published under the GNU Public License (GPL).
JACAL - An interactive symbolic mathematics program. JACAL can manipulate and simplify equations, scalars, vectors, and matrices of single and multiple valued algebraic expressions containing numbers, variables, radicals, and algebraic differential, and holonomic functions. Linux RPM distribution.
KAN - Rings and Computer algebra software, part of OpenXM.
LAPACK -- Linear Algebra PACKage - written in Fortran77; provides routines for solving systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalue problems, and singular value problems.
LAPACK++: Linear Algebra Package in C++ - (v. 1.1a) a software library for numerical linear algebra; however, it does not include all of the capabilities of original f77 LAPACK.
Macaulay - Macaulay is a computer algebra system for mathematical computations in algebraic geometry and commutative algebra. At its core is a carefully tuned implementation of Grobner basis methods for manipulating systems of polynomial equations.
Macaulay 2 - A new software system devoted to supporting research in algebraic geometry and commutative algebra.
MAS - The Modula-2 Algebra System - MAS is an experimental computer algebra system with algebraic specification capabilities for the design and study of algebraic algorithms. Downloads, documentation.
Mathscribe - Mathscribe is free dynamic graphing and modeling software for use in algebra classes. Lesson plans for linears and quadratics are included.
Matrix Expression Templates (MET) - C++ matrix class library which promotes the notational convenience of linear algebraic codes. Free download.
Maxima - A GPL CAS based on DOE-MACSYMA. A GPL project.
perisic - A Java package for multivariate polynomials over polymorphic rings.
Schur - A package for Lie groups by Brian G. Wybourne. DOS, Win32, Unix. Ordering information.
SINGULAR - Computer Algebra System for polynomial computations with special emphasis on 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, and researcher directory.
Symmetrica - A collection of routines, written in C, for computing in the representation theory of classical and symmetric groups, and related areas. Public domain.
Yet Another Computer Algebra System - A general purpose easy program for It is built on top of its own programming language designed for symbolic manipulation of math symbols. Includes information on how to use the software.
ZEN - A toolbox for computation in finite rings, by Florent Chabaud and Reynald Lercier. ANSI-C source, free download, GPL.
