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Web Pages
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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.
  SINGULAR http://www.singular.uni-kl.de/
Computer Algebra System for polynomial computations with special emphasis on commutative algebra, algebraic geometry, and singularity theory.
  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.
  http://maxima.sourceforge.net/ http://maxima.sourceforge.net/
A GPL CAS based on DOE-MACSYMA. A GPL project.
  Macaulay 2 http://www.math.uiuc.edu/Macaulay2/
A new software system devoted to supporting research in algebraic geometry and commutative algebra.
  http://cocoa.dima.unige.it/ http://cocoa.dima.unige.it/
A special-purpose system for computations in Commutative Algebra.
  http://www.ginac.de/ 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).
  http://www.bway.net/~lewis/ 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.
  Online Gröbner Basis Calculations http://grobner.nuigalway.ie/grobner/basis.html
Online computation of reduced ideal bases.
  http://www.aldor.org/ 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.
  http://smc.vnet.net/Schur.html http://smc.vnet.net/Schur.html
A package for Lie groups by Brian G. Wybourne. DOS, Win32, Unix. Ordering information.
  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.
  http://www.math.sci.kobe-u.ac.jp/KAN/ http://www.math.sci.kobe-u.ac.jp/KAN/
Rings and Computer algebra software, part of OpenXM.
  Axiom Computer Algebra System http://savannah.nongnu.org/projects/axiom
Savannah Free Software project for revival of Axiom as open source.
  http://fchabaud.free.fr/English/ZEN/ http://fchabaud.free.fr/English/ZEN/
A toolbox for computation in finite rings, by Florent Chabaud and Reynald Lercier. ANSI-C source, free download, GPL.
  GB and FGB http://www-calfor.lip6.fr/~jcf/
Software for solving algebraic equations: GB computes Groebner bases and FGB solves polynomial systems.
  http://www.numbertheory.org/cmat/krm_cmat.html 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.
  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.
  http://swissnet.ai.mit.edu/~jaffer/JACAL.html 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.
  http://www.nag.co.uk/symbolic_software.asp 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.
  http://felix.hgb-leipzig.de/ http://felix.hgb-leipzig.de/
Computer algebra system for computation in commutative and non-commutative rings and modules. Win32, Unix.
  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.
  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.
  Math Symbolic Library http://www.cdrnet.net/projects/nmath/
Evaluate, calculate, simplify and derive symbolic scalar, complex or vector expression. [OpenSource]
  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.
  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.
  Math Forum - Algebra Software http://mathforum.org/algebra/alg.software.html
Algebra software resources compiled by The Math Forum.
  http://www.cs.clemson.edu/~dpj/albertstuff/albert.html 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.
  http://www-fourier.ujf-grenoble.fr/~parisse/english.html 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.
  Matrix Expression Templates (MET) http://met.sourceforge.net/
C++ matrix class library which promotes the notational convenience of linear algebraic codes. Free download.
  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.
  Algebra Word Problem Tutor:Miss Lindquist http://www.cs.cmu.edu/~neil/
The world's first web-delivered self-improving intelligent tutoring system able to tutor students in writing expressions for algebra word problems.
  A Tutorial Introduction To AXIOM http://www.dcs.st-and.ac.uk/~mnd/documentation/axiom_tutorial/axiom.html
By Martin N. Dunstan.
  http://ring.perisic.com/ http://ring.perisic.com/
A Java package for multivariate polynomials over polymorphic rings.
  Algebra Problem Solver http://www.cyberedinc.com/
Personal Algebra Tutor - Enter your algebra problems and get instant step-by-step solutions with explanations.
  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.
  Algebra Helper http://www.algebra-answer.com/
Helps students with equations and inequalities, simplifying expression, graphing and complex numbers. Includes problem solving exercises.
  Algebra Cheat http://www.bacsoftware.co.uk/algebra/
Program solves variable equations and gives explanations of steps used.
  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.
  http://groups.yahoo.com/group/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.
  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.
  GAP - Groups, Algorithms and Programming http://www-history.mcs.st-and.ac.uk/~gap/
A free system for computational discrete algebra.
  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.
  Computer Algebra and Problem Solving Environments http://math.unm.edu/~wester/aca96/Steinberg_abstract.html
Abstract for Stanly Steinberg's article in "Comparative CAS Reviews and Philosophy", suggesting 6 ways in which computer algebra systems could be improved.
  Computer Algebra Pages and Servers http://krum.rz.uni-mannheim.de/cabench/cawww.html
A collection of links.
  Computer Algebra Benchmarks http://krum.rz.uni-mannheim.de/cafgbench.html
Collated by Computer Algebra Fachgruppe, Mannheim.
  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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