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Topic: Computer algebra system

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	Computer algebra system - Wikipedia, the free encyclopedia
		The study of algorithms useful for computer algebra systems is known as computer algebra.
		The run-time of numerical programs implemented in computer algebra systems is normally longer than that of equivalent programs implemented in systems such as MATLAB, GNU Octave, or directly in C, since they are programmed for full symbolic generality and thus cannot use machine numerical operations directly for most of their functions.
		Computer algebra systems began to appear in the early 1970s, and evolved out of research into artificial intelligence, though the fields are now regarded as largely separate.
	en.wikipedia.org /wiki/Computer_algebra_system (453 words)

	Computer algebra system: Facts and details from Encyclopedia Topic (Site not responding. Last check: 2007-07-20)
		Macsyma is a computer algebra system that was originally developed from 1967 to 1982 at the mit ai lab as part of project mac....
		Algebraic geometry is a branch of mathematics which, as the name suggests, combines abstract algebra, especially commutative algebra, with geometry....
		Algebra is a branch of mathematics which may be roughly characterized as a generalization and extension of arithmetic, in which symbols are employed to denote...
	www.absoluteastronomy.com /encyclopedia/c/co/computer_algebra_system.htm (2360 words)

	GAP computer algebra system - Wikipedia, the free encyclopedia
		GAP (Groups, Algorithms and Programming) is a computer algebra system for computational discrete algebra with particular emphasis on, but not restricted to, computational group theory.
		After the retirement of J. Neubüser from the chair of LDFM, the development and maintenance of GAP was coordinated by the School of Mathematical and Computational Sciences at the University of St. Andrews, Scotland.
		An interface is available for using the SINGULAR computer algebra system from within GAP.
	en.wikipedia.org /wiki/GAP_computer_algebra_system (424 words)

	Computer Algebra Systems
		Though its scope for symbolic and algebraic computation is very limited at this moment, its performance of doing several major algebraic operations in the polynomial ring is considerably high to cope with practical problems.
		GAP is a system for computational discrete algebra, which was developed with particular emphasis on computational group theory, but which has already proved useful also in other areas.
		Singular is a computer algebra system for algebraic geometry, commutative algebra and singularity theory.
	www.informatik.uni-leipzig.de /~graebe/ComputerAlgebra/Systems/overview.html (1833 words)

	Computations (Site not responding. Last check: 2007-07-20)
		If you have some small computation most likely you will find the tools in the computer in your office are enough for it (mathematica for basic computations gives decent results in any computer; bc is some powerful calculator that accepts numbers in different bases).
		Description: A fairly complete computer algebra system-- base system This system MAXIMA is a COMMON LISP implementation due to William F. Schelter, and is based on the original implementation of Macsyma at MIT, as distributed by the Department of Energy.
		Computations may be done in either hyperbolic, Euclidean, or spherical geometry, though the routines for the latter are not yet complete.
	linux.math.tifr.res.in /linux-manual/computations.html (2125 words)

	Software Algebra Math Science (Site not responding. Last check: 2007-07-20)
		- 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.
		- MAS is an experimental computer algebra system with algebraic specification capabilities for the design and study of algebraic algorithms.
	www.iaswww.com /ODP/Science/Math/Algebra/Software (1189 words)

	REDUCE Home Page (archival version)
		Version 3.8 of the REDUCE Computer Algebra System was released 15 April 2004.
		A particular algebra system is often chosen for a given calculation because of its widespread use in a particular application area, with existing packages and templates being used to speed up problem solving.
		It is available for most common computing systems, in some cases in more than one version for the same machine, through a variety of distributors listed in the REDUCE Information Package.
	www.uni-koeln.de /REDUCE (1749 words)

	Computer Algebra in Education
		A special course "Mathematics and computer" was delivered for 4 years where issues of case of spreadsheets and mathematical software packages by teachers of mathematics.
		The notion of (mathematical) microworld is used to denote a learning environment with computational objects, operations and activities "with the purpose of inducing or discovering their properties, and constructing an understanding of the system as a whole.
		Computer algebra is in a unique position to aid students in learning the above concept.
	math.unm.edu /ACA/2002/Proceedings/education.html (3660 words)

	Introduction - gTybalt - a step towards a free computer algebra system
		Symbolic calculations, carried out by computer algebra systems, have become an integral part in the daily work of scientists.
		This requires support from the computer algebra system for a programming language which allows to implement complex algorithms for abstract mathematical entities.
		One aspect of computer algebra systems is arbitrary precision arithmetic.
	wwwthep.physik.uni-mainz.de /~stefanw/gtybalt/gtybalt/Introduction.html (834 words)

	Fermat, Computer Algebra System
		Fermat is a computer algebra system for Macintosh, Windows, Linux, and Unix by me, Robert H. Lewis of Fordham University, that does arithmetic of arbitrarily long integers and fractions, symbolic calculations, matrices over polynomial rings, graphics, and other numerical calculations.
		If you tackle real problems with computer algebra you have probably found that some well known systems are too slow, use too much space, crash too often, or have weird limitations built into them.
		Except for material which is unambiguously and unarguably in the public domain, no material anywhere on this website, graphical or text, may be copied or further disseminated without the express and written permission of the legal holder of that copyright.
	www.bway.net /~lewis (2305 words)

	REDUCE Computer Algebra System
		REDUCE is an interactive system for general algebraic computations of interest to mathematicians, scientists and engineers.
		It is often used as an algebraic calculator for problems that are possible to do by hand.
		It is available for most common computing systems, in some cases in more than one version for the same machine, through a number of distributors.
	www.reduce-algebra.com (310 words)

	Maxima - A GPL CAS based on DOE-MACSYMA (Site not responding. Last check: 2007-07-20)
		Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, integration, Taylor series, Laplace transforms, ordinary differential equations, systems of linear equations, and vectors, matrices, and tensors.
		Maxima is a descendant of Macsyma, the legendary computer algebra system developed in the late 1960s at the Massachusetts Institute of Technology.
		It is the only system based on that effort still publicly available and with an active user community, thanks to its open source nature.
	maxima.sourceforge.net (390 words)

	Magma Computational Algebra System Home Page
		It provides a mathematically rigorous environment for computing with algebraic, number-theoretic, combinatoric and geometric objects.
		October 18, 2004: The Algebraic Geometry and Number Theory with Magma conference was held October 4 - 8, 2004 at the Institute Henri Poincaré, Paris.
		Magma is produced and distributed by the Computational Algebra Group within the School of Mathematics and Statistics of the University of Sydney.
	magma.maths.usyd.edu.au /magma (291 words)

	MeasureZero - The Computer Algebra System Probe From MeasureZero
		Central to our work is Probe, a new scientific computation system which we are developing.
		Probe is a computer algebra system that is based on a functional language (Viking).
		Another exiting development is the adaptation of the computation engine to use a grid framework.
	www.measurezero.com (351 words)

	Maple Computer Algebra System Tale @ LandCompany.com (Land Company) (Site not responding. Last check: 2007-07-20)
		It was first developed in 1981 by the Symbolic Computation Group at the University of Waterloo in Waterloo, Ontario, Canada.
		As is usual with computer algebra systems, symbolic expressions are stored in memory as directed acyclic graphs.
		A maximum size of 8000 (in machine words or objects contained) for any algebraic object.
	www.landcompany.com /encyclopedia/Maple_computer_algebra_system (288 words)

	Fermat, Computer Algebra System II (Site not responding. Last check: 2007-07-20)
		By "exact symbolic" we mean computation with polynomials whose coefficients are integers (of any size), rational numbers, or finite fields, as opposed to coefficients that are "floats" of a certain precision.
		Such computation is part of most computer algebra systems ("CA systems").
		In this paper we compare these small systems to each other and to two of the large systems (Maple and Magma) on a set of problems involving exact symbolic computation with polynomials and matrices.
	www.fordham.edu /lewis/cacomp.html (294 words)

	No Title
		Maple is a comprehensive general purpose computer algebra system.
		In fact almost all of the mathematical and graphical facilities are written in Maple and not in a systems implementation language like other computer algebra systems.
		The outcome is a system consisting of three components, the user interface, the kernel, and the Maple library.
	www.bl.physik.tu-muenchen.de /rechner/maple/Maple/Maple.html (613 words)

	Learning physics with a computer algebra system -- from Mathematica Information Center
		To become proficient problem-solvers, physics students need to form a coherent and flexible understanding of problem situations with which they are confronted.
		The approach was based on using the computer algebra software Mathematica as a tool for problem solving and visualization.
		An electrostatics course module was implemented based on this instructional approach, and this module was compared with a usual paper-and-pencil based one.
	library.wolfram.com /infocenter/Articles/2421 (156 words)

	SINGULAR - A Computer Algebra System for Polynomial Computations
		is a special system for polynomial computation with many features for global as well as for local commutative algebra and algebraic geometry.
		The book can be used for courses, seminars and as a basis for studying research papers in commutative algebra, computer algebra and algebraic geometry.
		It is followed by the central concepts of commutative algebra such as integral closure, dimension theory, primary decomposition, Hilbert function, completion, flatness and homological algebra.
	www.singular.uni-kl.de /DEMOS/GP-MEGA-03/HTML/Singular-book.html (212 words)

	Computer Algebra Group at SFU
		Members of the group are primarilly intested in the area known as Computer Algebra or Symbolic Computation.
		The CAG maintains a close relationship with Waterloo Maple, Inc., the producer of the computer algebra system Maple.
		Several members of CAG are participating in the Mathematics of Computer Algebra and Analysis Project of The Mathematics of Information Technology and Complex Systems (MITACS), a federally funded Network of Centres of Excellence (NCE).
	www.cecm.sfu.ca /CAG (139 words)

	Articles by John Mathews
		Computers in Education Division of ASEE, January-March 1991, Vol.
		Computers in Education Division of ASEE, January-March 1990, Vol.
		Computers in Education Division of ASEE, October-December 1989, Vol.
	math.fullerton.edu /mathews/articles/articles.htm (563 words)

	The Yacas computer algebra system (Site not responding. Last check: 2007-07-20)
		YACAS is an easy to use, general purpose Computer Algebra System, a program for symbolic manipulation of mathematical expressions.
		The system has a library of scripts that implement many of the symbolic algebra operations; new algorithms can be easily added to the library.
		YACAS comes with extensive documentation (320+ pages) covering the scripting language, the functionality that is already implemented in the system, and the algorithms we used.
	yacas.sourceforge.net /yacas.html (109 words)

	Robert Stephenson's Blog: CAS (Java Computer Algebra System)
		The CAS (Java Computer Algebra System) project is a polished and valuable tool for high school or college math classes.
		It is an algebraic function plotter that is well documented (scroll down the page) and seems both robust and well designed.
		I recommend CAS to high school or college algebra students anywhere.
	weblogs.java.net /blog/rstephe/archive/2006/02/cas_java_comput.html (572 words)

	NAG Symbolic Software
		For the most powerful symbolic solver system, particularly if you are also seeking to use high quality numerical software, we strongly recommend that you visit www.maplesoft.com, the web site of Maplesoft, developers of the Maple system.
		Maple, like AXIOM, is an advanced and comprehensive system for solving a wide range of symbolic and symbolic-numeric problems.
		The numeric capabilities of Maple were enhanced at Release 6 by the incorporation of NAG software, and subsequent releases contain additional NAG-driven numerics.
	www.nag.co.uk /symbolic_software.asp (160 words)

	The Yacas computer algebra system
		A computer algebra system, of which Yacas is one, is a program that can manipulate mathematical expressions, potentially reducing the time it takes to do a cumbersome but trivial calculation.
		It is designed to allow the creation of integrated systems that embed symbolic manipulations together with more established areas of computer science (like computation- intense numeric applications, graphical interfaces, etc.) under one roof.
		Maxima is a Macsyma (early computer algebra system) clone, fully GPL'led.
	www.xs4all.nl /~apinkus/informatie.html (1047 words)

	LtU Classic Archives
		Ehud Lamm - Re: Axiom Computer Algebra System
		As such, it is an untyped language--there is nothing to prevent you from attempting to treat a function as a natural number, except that it will be difficult to prove facts about such a construct.
		The Ontic system is a proof verification system, rather than a computer algebra system.
	lambda-the-ultimate.org /classic/message12593.html (1022 words)

	Personnal page for Bernard Parisse
		Giac/Xcas is a free computer algebra system for Windows, Mac OS X and Linux/Unix.
		It's name is derived from GiNaC and means Giac Is A Computer algebra system.
		It is a good idea to reflash the whole system unless you have previously flashed the 49 with casrelease.
	www-fourier.ujf-grenoble.fr /~parisse/english.html (762 words)

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