| Directory > Science > Math > Algebra > Software Algebra Helper
Helps students with equations and inequalities, simplifying expression, graphing and complex
numbers. Includes problem solving exercises.
http://www.algebra-answer.com/
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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
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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.
http://www.math.auckland.ac.nz/~peter/
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perisic
A Java package for multivariate polynomials over polymorphic rings.
http://ring.perisic.com/
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Algebra linear functions in C.
A set of C routines for linear algebra.
http://www.simtel.net/pub/pd/61050.shtml
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Maxima
A GPL CAS based on DOE-MACSYMA. A GPL project.
http://maxima.sourceforge.net/
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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
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Axiom Computer Algebra System
Savannah Free Software project for revival of Axiom as open source.
http://savannah.nongnu.org/projects/axiom
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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
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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.
http://www.seanerikoconnor.freeservers.com/Mathematics/AbstractAlgebra/PrimitivePolynomials/ove....
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Math Symbolic Library
Evaluate, calculate, simplify and derive symbolic scalar, complex or vector expression.
[OpenSource]
http://www.cdrnet.net/projects/nmath/
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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/
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Schur
A package for Lie groups by Brian G. Wybourne. DOS, Win32, Unix. Ordering information.
http://smc.vnet.net/Schur.html
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Algebra Cheat
Program solves variable equations and gives explanations of steps used.
http://www.bacsoftware.co.uk/algebra/
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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.
http://www.mathematicssoftware.com/mathematics-software-html/algebra-1-software.php
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GAP - Groups, Algorithms and Programming
A free system for computational discrete algebra.
http://www-history.mcs.st-and.ac.uk/~gap/
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ZEN
A toolbox for computation in finite rings, by Florent Chabaud and Reynald Lercier. ANSI-C source,
free download, GPL.
http://www.di.ens.fr/~zen/
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Matrix Expression Templates (MET)
C++ matrix class library which promotes the notational convenience of linear algebraic codes. Free
download.
http://met.sourceforge.net/
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Math Forum - Algebra Software
Algebra software resources compiled by The Math Forum.
http://mathforum.org/algebra/alg.software.html
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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.
http://swissnet.ai.mit.edu/~jaffer/JACAL.html
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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
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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
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Computer Algebra Pages and Servers
A collection of links.
http://krum.rz.uni-mannheim.de/cabench/cawww.html
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Computer Algebra Benchmarks
Collated by Computer Algebra Fachgruppe, Mannheim.
http://krum.rz.uni-mannheim.de/cafgbench.html
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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
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A Tutorial Introduction To AXIOM
By Martin N. Dunstan.
http://www-theory.dcs.st-and.ac.uk:80/~mnd/documentation/axiom_tutorial/axiom.html
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HartMath
An experimental computer algebra system written in Java and available free under GPL.
http://www.hartmath.com/
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Vector Enumerator
A program by Steve Linton which constructs finitely-presented modules for finitely-presented
algebras over certain fields and rings.
http://www-theory.dcs.st-and.ac.uk/~sal/#software
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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
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WinCoCoA Home Page
A version of CoCoA for Windows.
http://www.physik.uni-regensburg.de/~krm03530/WinCoCoA.html
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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
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Felix
Computer algebra system for computation in commutative and non-commutative rings and modules.
Win32, Unix.
http://felix.hgb-leipzig.de/
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SINGULAR
Computer Algebra System for polynomial computations with special emphasis on commutative algebra,
algebraic geometry, and singularity theory.
http://www.singular.uni-kl.de/
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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++/
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KAN
Rings and Computer algebra software, part of OpenXM.
http://www.math.sci.kobe-u.ac.jp/KAN/
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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/
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Online Gröbner Basis Calculations
Online computation of reduced ideal bases.
http://grobner.nuigalway.ie/
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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/
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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/
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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/
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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
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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).
http://www.ginac.de/
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Sheafhom
Tools for computation in the category of combinatorial sheaves. It is intended for research
involving complexes of sheaves and the derived category.
http://www.math.okstate.edu/~mmcconn/shh.html
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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.html
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Algebra Problem Solver
Personal Algebra Tutor - Enter your algebra problems and get instant step-by-step solutions with
explanations.
http://www.cyberedinc.com/
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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
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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/
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CoCoA
A special-purpose system for computations in Commutative Algebra.
http://cocoa.dima.unige.it/
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CLICAL
A calculator type computer program for vectors, complex numbers, quaternions, bivectors, spinors,
and multivectors in Clifford algebras.
http://www.hit.fi/~lounesto/CLICAL.htm
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Groups and Graphs
A software package for graphs, digraphs, combinatorial designs, and their automorphism groups.
http://130.179.24.217/G&G/G&G.html
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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
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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/
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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
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Macaulay 2
A new software system devoted to supporting research in algebraic geometry and commutative algebra.
http://www.math.uiuc.edu/Macaulay2/
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GB and FGB
Software for solving algebraic equations: GB computes Groebner bases and FGB solves polynomial
systems.
http://www-calfor.lip6.fr/~jcf/
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