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Math Symbolic Library
Evaluate , calculate , simplify and derive symbolic scalar , complex or vector expression. [OpenSource]
www.cdrnet.net/projects/nmath/
MathPad - Scientific Matrices Calculator
Java applet based online Matrix calculation program for analyzing various simultaneous equations.
www.mathpad.com/public/htmls/main/left/matrix/MatrixInfo.html
Mathscribe
Mathscribe is free dynamic graphing and modeling software for use in algebra classes. Lesson plans for linears and quadratics are included.
www.mathscribe.com/
Matrix Expression Templates (MET)
C++ matrix class library which promotes the notational convenience of linear algebraic codes. Free download.
met.sourceforge.net/
Maxima
A GPL CAS based on DOE-MACSYMA. A GPL project.
maxima.sourceforge.net/
Maxima-Online
Browser based , web intrerface to Maxima computer algebra system.
maxima-online.lewalski.pl/
Online Gröbner Basis Calculations
Online computation of reduced ideal bases.
grobner.nuigalway.ie/grobner/basis.html
perisic
A Java package for multivariate polynomials over polymorphic rings.
ring.perisic.com/
ScriviFacile Math Algebra
Voce Viva offers interactive multipurpose software for use in schools.
www.voceviva.it/page9.html
SINGULAR
Computer Algebra System for polynomial computations with special emphasis on commutative algebra , algebraic geometry , and singularity theory.
www.singular.uni-kl.de/
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.
www.seanerikoconnor.freeservers.com/Mathematics/AbstractAlgebra/PrimitivePolynomials/overview.html
Symmetrica
A collection of routines , written in C , for computing in the representation theory of classical and symmetric groups , and related areas. Public domain.
www.mathe2.uni-bayreuth.de/axel/symneu_engl.html
WinCoCoA Page
A version of CoCoA for Windows developed by a small group of mathematicians at Universität Regensburg , Germany.
www.uni-regensburg.de/Fakultaeten/nat_Fak_I/Kreuzer/WinCoCoA.html
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.
yacas.sourceforge.net/
ZEN
A toolbox for computation in finite rings , by Florent Chabaud and Reynald Lercier. ANSI-C source , free download , GPL.
zenfact.sourceforge.net/

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