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.
Aldor Functional language in which types are first class values. Normal functions returning types reproduce the features of template classes of other languages. Links to many projects around the world based on Aldor.
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.
Edu2000 Visual Algebra 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.
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).
gTybalt An experimental free computer algebra system built on top of GiNaC, CLN and a program to interpret C and C++ commands.
HartMath An experimental computer algebra system written in Java and available free under GPL.
HartMath Java computer algebra applet. Some features are: EPOC32 Java version, big rational number arithmetic, symbolic differentiation, linear algebra functions, 2D plot functions, numeric computations, pattern matching, transformation rules, functional programming, pure functions. [Open Source, 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.
LOWX 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 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.
Miss Lindquist: The Online Algebra Tutor for Word Problems An intelligent tutoring system funded through a grant from the National Science Foundation to build software that is more like human tutors. This program will tutor students presenting them with progressivly harder problems and will help me when needed.
SymbolicNet Directory of links on Symbolic Algebraic Computation: Frequently Asked Questions, Live Demos, software for download, events, bibliography, research groups, and researcher directory.
SymbolicNet Information centre for symbolic mathematical computation. Links to research and software.
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.
ZEN A toolbox for computation in finite rings, by Florent Chabaud and Reynald Lercier. ANSI-C source, free download, GPL.