A Tutorial Introduction To AXIOM
   By Martin N. Dunstan.
   http://www.dcs.st-and.ac.uk/~mnd/documentation/axiom_tutorial/axiom.html

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.
   http://www.nag.co.uk/symbolic_software.asp

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.
   http://www.cs.clemson.edu/~dpj/albertstuff/albert.html

Aldor
   Originally an extension to Axiom, now a separate product. Binaries are available free for non-profit use, with documentation, tips, projects and links.
   http://www.aldor.org/

Algebra Cheat
   Program solves variable equations and gives explanations of steps used.
   http://www.bacsoftware.co.uk/algebra/

Algebra Helper
   Helps students with equations and inequalities, simplifying expression, graphing and complex numbers. Includes problem solving exercises.
   http://www.algebra-answer.com/

Algebra Problem Solver
   Personal Algebra Tutor - Enter your algebra problems and get instant step-by-step solutions with explanations.
   http://www.cyberedinc.com/

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.
   http://www.cs.cmu.edu/~neil/

Axiom Computer Algebra System
   Savannah Free Software project for revival of Axiom as open source.
   http://savannah.nongnu.org/projects/axiom

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.
   http://www.numbertheory.org/cmat/krm_cmat.html

CoCoA
   A special-purpose system for computations in Commutative Algebra.
   http://cocoa.dima.unige.it/

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.
   http://www.mathematik.uni-bielefeld.de/~sek/crep.html

Comparison of Polynomial-Oriented Computer Algebra Systems
   By Robert H. Lewis and Michael Wester. Presented as a poster to the 1999 ISSAC Conference.
   http://www.fordham.edu/lewis/cacomp.html

Computer Algebra Benchmarks
   Collated by Computer Algebra Fachgruppe, Mannheim.
   http://krum.rz.uni-mannheim.de/cafgbench.html

Computer Algebra Pages and Servers
   A collection of links.
   http://krum.rz.uni-mannheim.de/cabench/cawww.html

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.
   http://math.unm.edu/~wester/aca96/Steinberg_abstract.html

FINITAS
   Discussion group for this package for the construction and analysis of finite algebraic structures such as loops, quasigroups, and groups.
   http://groups.yahoo.com/group/finitas/

FRISCO - A Framework for Integrated Symbolic/Numeric Computation
   The FRISCO project aims to develop highly efficient, versatile polynomial solvers for industrial users.
   http://www.nag.co.uk/projects/FRISCO.html

Felix
   Computer algebra system for computation in commutative and non-commutative rings and modules. Win32, Unix.
   http://felix.hgb-leipzig.de/

Fermat
   Computer algebra system that does arithmetic of arbitrarily long integers and fractions, symbolic calculations, graphics, and other numerical calculations. Free download. Documentation.
   http://www.bway.net/~lewis/

GAP - Groups, Algorithms and Programming
   A free system for computational discrete algebra.
   http://www-history.mcs.st-and.ac.uk/~gap/

GB and FGB
   Software for solving algebraic equations: GB computes Groebner bases and FGB solves polynomial systems.
   http://www-calfor.lip6.fr/~jcf/

GIAC
   Is A Computer algebra system. A semi-classical CAS by Bernard Parisse, available for Windows, Linux.
   http://www-fourier.ujf-grenoble.fr/~parisse/english.html

Galois Field Arithmetic Library
   A simple opensource library in C++ for arithmetic between elements and polynomials over finite fields.
   http://www.partow.net/projects/galois/

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 se
   http://www.ginac.de/

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 holonomi
   http://swissnet.ai.mit.edu/~jaffer/JACAL.html

KAN
   Rings and Computer algebra software, part of OpenXM.
   http://www.math.sci.kobe-u.ac.jp/KAN/

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.
   http://netlib2.cs.utk.edu/lapack/

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.
   http://math.nist.gov/lapack++/

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.
   http://www.fmi.uni-passau.de/algebra/projects/mas.php3

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.
   http://www.math.columbia.edu/~bayer/Macaulay/index.html

Macaulay 2
   A new software system devoted to supporting research in algebraic geometry and commutative algebra.
   http://www.math.uiuc.edu/Macaulay2/

Math Forum - Algebra Software
   Algebra software resources compiled by The Math Forum.
   http://mathforum.org/algebra/alg.software.html

Math Symbolic Library
   Evaluate, calculate, simplify and derive symbolic scalar, complex or vector expression. [OpenSource]
   http://www.cdrnet.net/projects/nmath/

MathPad - Scientific Matrices Calculator
   Java applet based online Matrix calculation program for analyzing various simultaneous equations.
   http://www.mathpad.com/public/htmls/main/left/matrix/MatrixInfo.html

Mathscribe
   Mathscribe is free dynamic graphing and modeling software for use in algebra classes. Lesson plans for linears and quadratics are included.
   http://www.mathscribe.com/

Matrix Expression Templates (MET)
   C++ matrix class library which promotes the notational convenience of linear algebraic codes. Free download.
   http://met.sourceforge.net/

Maxima
   A GPL CAS based on DOE-MACSYMA. A GPL project.
   http://maxima.sourceforge.net/

Online Gröbner Basis Calculations
   Online computation of reduced ideal bases.
   http://grobner.nuigalway.ie/

SINGULAR
   Computer Algebra System for polynomial computations with special emphasis on commutative algebra, algebraic geometry, and singularity theory.
   http://www.singular.uni-kl.de/

Schur
   A package for Lie groups by Brian G. Wybourne. DOS, Win32, Unix. Ordering information.
   http://smc.vnet.net/Schur.html

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

Symmetrica
   A collection of routines, written in C, for computing in the representation theory of classical and symmetric groups, and related areas. Public domain.
   http://www.mathe2.uni-bayreuth.de/axel/symneu_engl.html

WinCoCoA Home Page
   A version of CoCoA for Windows.
   http://www.physik.uni-regensburg.de/~krm03530/WinCoCoA.html

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.
   http://yacas.sourceforge.net/

gTybalt
   An experimental free computer algebra system built on top of GiNaC, CLN and a program to interpret C and C++ commands.
   http://www.fis.unipr.it/~stefanw/gtybalt.html

perisic
   A Java package for multivariate polynomials over polymorphic rings.
   http://ring.perisic.com/