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GAP - Groups, Algorithms and Programming - http://www-history.mcs.st-and.ac.uk/~gap/
A free system for computational discrete algebra. |
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LAPACK -- Linear Algebra PACKage - http://netlib2.cs.utk.edu/lapack/
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. |
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SymbolicNet - http://www.symbolicnet.org/
Directory of links on Symbolic Algebraic Computation: Frequently Asked Questions, Live Demos, software for download, events, bibliography, research groups, and researcher directory. |
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Maxima - http://maxima.sourceforge.net/
A GPL CAS based on DOE-MACSYMA. A GPL project. |
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SINGULAR - http://www.singular.uni-kl.de/
Computer Algebra System for polynomial computations with special emphasis on commutative algebra, algebraic geometry, and singularity theory. |
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Macaulay 2 - http://www.math.uiuc.edu/Macaulay2/
A new software system devoted to supporting research in algebraic geometry and commutative algebra. |
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GiNaC - http://www.ginac.de/
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). |
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Schur - http://smc.vnet.net/Schur.html
A package for Lie groups by Brian G. Wybourne. DOS, Win32, Unix. Ordering information. |
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CoCoA - http://cocoa.dima.unige.it/
A special-purpose system for computations in Commutative Algebra. |
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Fermat - http://www.bway.net/~lewis/
Computer algebra system that does arithmetic of arbitrarily long integers and fractions, symbolic calculations, graphics, and other numerical calculations. Free download. Documentation. |
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Aldor - http://www.aldor.org/
Originally an extension to Axiom, now a separate product. Binaries are available free for non-profit use, with documentation, tips, projects and links. |
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Axiom Computer Algebra System - http://savannah.nongnu.org/projects/axiom
Savannah Free Software project for revival of Axiom as open source. |
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Combinatorial Representation Theory (CREP) - http://www.mathematik.uni-bielefeld.de/~sek/crep.html
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. |
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LAPACK++: Linear Algebra Package in C++ - http://math.nist.gov/lapack++/
(v. 1.1a) a software library for numerical linear algebra; however, it does not include all of the capabilities of original f77 LAPACK. |
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Comparison of Polynomial-Oriented Computer Algebra Systems - http://www.fordham.edu/lewis/cacomp.html
By Robert H. Lewis and Michael Wester. Presented as a poster to the 1999 ISSAC Conference. |
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Yet Another Computer Algebra System - http://yacas.sourceforge.net/
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. |
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JACAL - http://swissnet.ai.mit.edu/~jaffer/JACAL.html
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. |
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FRISCO - A Framework for Integrated Symbolic/Numeric Computation - http://www.nag.co.uk/projects/FRISCO.html
The FRISCO project aims to develop highly efficient, versatile polynomial solvers for industrial users. |
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Felix - http://felix.hgb-leipzig.de/
Computer algebra system for computation in commutative and non-commutative rings and modules. Win32, Unix. |
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Online Gröbner Basis Calculations - http://grobner.nuigalway.ie/grobner/basis.html
Online computation of reduced ideal bases. |
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AXIOM - http://www.nag.co.uk/symbolic_software.asp
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. |
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KAN - http://www.math.sci.kobe-u.ac.jp/KAN/
Rings and Computer algebra software, part of OpenXM. |
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Macaulay - http://www.math.columbia.edu/~bayer/Macaulay/index.html
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. |
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CMAT - http://www.numbertheory.org/cmat/krm_cmat.html
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. |
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GB and FGB - http://www-calfor.lip6.fr/~jcf/
Software for solving algebraic equations: GB computes Groebner bases and FGB solves polynomial systems. |
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Mathscribe - http://www.mathscribe.com/
Mathscribe is free dynamic graphing and modeling software for use in algebra classes. Lesson plans for linears and quadratics are included. |
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Math Forum - Algebra Software - http://mathforum.org/algebra/alg.software.html
Algebra software resources compiled by The Math Forum. |
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Albert - http://www.cs.clemson.edu/~dpj/albertstuff/albert.html
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. |
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Computer Algebra Benchmarks - http://krum.rz.uni-mannheim.de/cafgbench.html
Collated by Computer Algebra Fachgruppe, Mannheim. |
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GIAC - http://www-fourier.ujf-grenoble.fr/~parisse/english.html
Is A Computer algebra system. A semi-classical CAS by Bernard Parisse, available for Windows, Linux. |
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Software for Computing Primitive Polynomials. - http://www.seanerikoconnor.freeservers.com/Mathematics/AbstractAlgebra/PrimitivePolynomials/overview.html
Free C software for computing primitive polynomials of degree n modulo p for p^n up to about 2^60. |
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Symmetrica - http://www.mathe2.uni-bayreuth.de/axel/symneu_engl.html
A collection of routines, written in C, for computing in the representation theory of classical and symmetric groups, and related areas. Public domain. |
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A Tutorial Introduction To AXIOM - http://www.dcs.st-and.ac.uk/~mnd/documentation/axiom_tutorial/axiom.html
By Martin N. Dunstan. |
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Math Symbolic Library - http://www.cdrnet.net/projects/nmath/
Evaluate, calculate, simplify and derive symbolic scalar, complex or vector expression. [OpenSource] |
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MathPad - Scientific Matrices Calculator - http://www.mathpad.com/public/htmls/main/left/matrix/MatrixInfo.html
Java applet based online Matrix calculation program for analyzing various simultaneous equations. |
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Algebra Helper - http://www.algebra-answer.com/
Helps students with equations and inequalities, simplifying expression, graphing and complex numbers. Includes problem solving exercises. |
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Galois Field Arithmetic Library - http://www.partow.net/projects/galois/
A simple opensource library in C++ for arithmetic between elements and polynomials over finite fields. |
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Algebra Cheat - http://www.bacsoftware.co.uk/algebra/
Program solves variable equations and gives explanations of steps used. |
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MAS - The Modula-2 Algebra System - http://www.fmi.uni-passau.de/algebra/projects/mas.php3
MAS is an experimental computer algebra system with algebraic specification capabilities for the design and study of algebraic algorithms. Downloads, documentation. |
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FINITAS - http://groups.yahoo.com/group/finitas/
Discussion group for this package for the construction and analysis of finite algebraic structures such as loops, quasigroups, and groups. |