By Martin N. Dunstan.

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.

Originally an extension to Axiom, now a separate product. Binaries are available free for non-profit use, with documentation, tips, projects and links.

Program solves variable equations and gives explanations of steps used.

Helps students with equations and inequalities, simplifying expression, graphing and complex numbers. Includes problem solving exercises.

Personal Algebra Tutor - Enter your algebra problems and get instant step-by-step solutions with explanations.

The world's first web-delivered self-improving intelligent tutoring system able to tutor students in writing expressions for algebra word problems.

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.

Savannah Free Software project for revival of Axiom as open source.

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.

A special-purpose system for computations in Commutative Algebra.

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.

By Robert H. Lewis and Michael Wester. Presented as a poster to the 1999 ISSAC Conference.

Abstract for Stanly Steinberg's article in "Comparative CAS Reviews and Philosophy", suggesting 6 ways in which computer algebra systems could be improved.

Collated by Computer Algebra Fachgruppe, Mannheim.

A collection of links.

Designed to ease the difficulties many students experience during the transition from arithmetic into the world of algebra using visualization. Covers linear and quadratic equations.

Computer algebra system for computation in commutative and non-commutative rings and modules. Win32, Unix.

Computer algebra system that does arithmetic of arbitrarily long integers and fractions, symbolic calculations, graphics, and other numerical calculations. Free download. Documentation.

Discussion group for this package for the construction and analysis of finite algebraic structures such as loops, quasigroups, and groups.

The FRISCO project aims to develop highly efficient, versatile polynomial solvers for industrial users.

A simple opensource library in C++ for arithmetic between elements and polynomials over finite fields.

A free system for computational discrete algebra.

Software for solving algebraic equations: GB computes Groebner bases and FGB solves polynomial systems.

Is A Computer algebra system. A semi-classical CAS by Bernard Parisse, available for Windows, Linux.

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).

An experimental free computer algebra system built on top of GiNaC, CLN and a program to interpret C and C++ commands.

An experimental computer algebra system written in Java and available free under GPL.

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.

Rings and Computer algebra software, part of OpenXM.

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.

(v. 1.1a) a software library for numerical linear algebra; however, it does not include all of the capabilities of original f77 LAPACK.

Parallel "low-index subgroups algorithm" software by Peter Dobcsányi for finding all subgroups up to given index in a finitely-presented group. Download documentation and binary distribution for Linux/i386 and Sparc/Solaris platforms.

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.

A new software system devoted to supporting research in algebraic geometry and commutative algebra.

MAS is an experimental computer algebra system with algebraic specification capabilities for the design and study of algebraic algorithms. Downloads, documentation.

Algebra software resources compiled by The Math Forum.

Evaluate, calculate, simplify and derive symbolic scalar, complex or vector expression. [OpenSource]

Java applet based online Matrix calculation program for analyzing various simultaneous equations.

Mathscribe is free dynamic graphing and modeling software for use in algebra classes. Lesson plans for linears and quadratics are included.

C++ matrix class library which promotes the notational convenience of linear algebraic codes. Free download.

A GPL CAS based on DOE-MACSYMA. A GPL project.

Online computation of reduced ideal bases.

A Java package for multivariate polynomials over polymorphic rings.

A package for Lie groups by Brian G. Wybourne. DOS, Win32, Unix. Ordering information.

Computer Algebra System for polynomial computations with special emphasis on commutative algebra, algebraic geometry, and singularity theory.

Free C software for computing primitive polynomials of degree n modulo p for p^n up to about 2^60.

Directory of links on Symbolic Algebraic Computation: Frequently Asked Questions, Live Demos, software for download, events, bibliography, research groups, and researcher directory.

A collection of routines, written in C, for computing in the representation theory of classical and symmetric groups, and related areas. Public domain.

A version of CoCoA for Windows.

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.

A toolbox for computation in finite rings, by Florent Chabaud and Reynald Lercier. ANSI-C source, free download, GPL.