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Macaulay 2 - A new software system devoted to supporting research in algebraic geometry and commutative 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.
Mathscribe - Mathscribe is free dynamic graphing and modeling software for use in algebra classes. Lesson plans for linears and quadratics are included.
Symmetrica - A collection of routines, written in C, for computing in the representation theory of classical and symmetric groups, and related areas. Public domain.
CoCoA - A special-purpose system for computations in Commutative Algebra.
Fermat - Computer algebra system that does arithmetic of arbitrarily long integers and fractions, symbolic calculations, graphics, and other numerical calculations. Free download. Documentation.
Comparison of Polynomial-Oriented Computer Algebra Systems - By Robert H. Lewis and Michael Wester. Presented as a poster to the 1999 ISSAC Conference.
Algebra Problem Solver - Personal Algebra Tutor - Enter your algebra problems and get instant step-by-step solutions with explanations.
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).
FRISCO - A Framework for Integrated Symbolic/Numeric Computation - The FRISCO project aims to develop highly efficient, versatile polynomial solvers for industrial users.
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.
SymbolicNet - Directory of links on Symbolic Algebraic Computation: Frequently Asked Questions, Live Demos, software for download, events, bibliography, research groups, and researcher directory.
Aldor - Originally an extension to Axiom, now a separate product. Binaries are available free for non-profit use, with documentation, tips, projects and links.
Online Gröbner Basis Calculations - Online computation of reduced ideal bases.
KAN - Rings and Computer algebra software, part of OpenXM.
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.
SINGULAR - Computer Algebra System for polynomial computations with special emphasis on commutative algebra, algebraic geometry, and singularity theory.
Felix - Computer algebra system for computation in commutative and non-commutative rings and modules. Win32, Unix.
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.
WinCoCoA Home Page - A version of CoCoA for Windows.
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.
HartMath - An experimental computer algebra system written in Java and available free under GPL.
MathPad - Scientific Matrices Calculator - Java applet based online Matrix calculation program for analyzing various simultaneous equations.
Computer Algebra Benchmarks - Collated by Computer Algebra Fachgruppe, Mannheim.
Computer Algebra Pages and Servers - A collection of links.
GIAC - Is A Computer algebra system. A semi-classical CAS by Bernard Parisse, available for Windows, Linux.
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.
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.
Math Forum - Algebra Software - Algebra software resources compiled by The Math Forum.
Matrix Expression Templates (MET) - C++ matrix class library which promotes the notational convenience of linear algebraic codes. Free download.
GAP - Groups, Algorithms and Programming - A free system for computational discrete algebra.
Algebra Cheat - Program solves variable equations and gives explanations of steps used.
Schur - A package for Lie groups by Brian G. Wybourne. DOS, Win32, Unix. Ordering information.
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.
Math Symbolic Library - Evaluate, calculate, simplify and derive symbolic scalar, complex or vector expression. [OpenSource]
Software for Computing Primitive Polynomials. - Free C software for computing primitive polynomials of degree n modulo p for p^n up to about 2^60.
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.
Axiom Computer Algebra System - Savannah Free Software project for revival of Axiom as open source.
gTybalt - An experimental free computer algebra system built on top of GiNaC, CLN and a program to interpret C and C++ commands.
Maxima - A GPL CAS based on DOE-MACSYMA. A GPL project.
perisic - A Java package for multivariate polynomials over polymorphic rings.
FINITAS - Discussion group for this package for the construction and analysis of finite algebraic structures such as loops, quasigroups, and groups.
Algebra Helper - Helps students with equations and inequalities, simplifying expression, graphing and complex numbers. Includes problem solving exercises.
Galois Field Arithmetic Library - A simple opensource library in C++ for arithmetic between elements and polynomials over finite fields.
A Tutorial Introduction To AXIOM - By Martin N. Dunstan.
ZEN - A toolbox for computation in finite rings, by Florent Chabaud and Reynald Lercier. ANSI-C source, free download, GPL.
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.
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.
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.
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