refined Computer_algebra_system Information, explanation, recent texts, monographs, and related patents.
Information & explanations, latest texts & monographs on Computer_algebra_system (including recent related patents.)


Computer algebra system

A computer algebra system (CAS) is a software that facilitates symbolic mathematics. Typically, these systems include
  • arbitrary precision (bignum) arithmetic, allowing for instance to evaluate pi to 10,000 digits.
  • symbolic manipulation engine, to simplify algebraic expressions, differentiate and integrate functions and solve equations
  • graphing facility, to produce graphs of functions, typically in two and three dimensions
  • linear algebra subsystem, to allow matrix computations and solving of systems of linear equations
  • high level programming language, allowing users to implement their own algorithms
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, because the computer algebra languages are often interpreted and the bignum system may cause overhead. (Note that MATLAB and Octave are interpreted also.) History Computer algebra systems began to appear in the early 1970s, and evolved out of research into artificial intelligence (the fields are now regarded as largely separate). The first popular systems were Reduce, Derive and Macsyma which are still commercially available; a copyleft version of Macsyma called GNU Maxima is actively being maintained. The current market leaders are Maple and Mathematica; both are commonly used by research mathematicians. MuPAD is a commercial system which provides a free version (with slightly restricted user interface) for non-commercial research and educational usage. Some computer algebra systems focus on a specific area of application; these are typically developed in academia and free. Examples include: Mathematics relevant for CAS Symbolic integration, Gröbner Basis, Greatest common divisor, Polynomial factorization See Also: A sharp, 20-GATE External links:
This article is adapted from from Wikipedia All Wikipedia article text is available under the terms of the GNU Free Documentation License

Applied Algebra by Darel W. Hardy

Solving Linear Systems on Vector and Shared Memory Computers by Jack J. Dongarra

Process Algebra with Timing by J.C.M. Baeten Baeten

Practical Use of Mathcad: Solving Mathematical Problems With a Computer Algebra System by Hans Benker

Numerical Linear Algebra for High Performance Computers by Jack J. Dongarra

Computer Systems Validation: Quality Assurance, Risk Management, and Regulatory Compliance for Pharmaceutical and Healt by Guy Wingate

Linpack User's Guide by J.J Dongarra

High Performance Algorithms for Structured Matrix Problems (Advances in the Theory of Computation and Computational Mathematics , Vol 2) by Peter Arbenz

Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes: 12th International by France Aaecc-1 1997 Toulouse

Algebraic Switching Theory and Broadband Applications (Telecommunications) by Shuo-Yen Li

Lectures on the Complexity of Bilinear Problems (Lecture Notes in Computer Science, Vol 245) by H. F. De Groote

Higher-Order Algebra, Logic, and Term Rewriting: Second International Workshop, Hoa '95, Paderborn, Germany, September 21-22, 1995: Selected Paper by Gilles Dowek

Aleks by Aleks

Systems of Reductions (Lecture Notes in Computer Science, Vol 277) by Benjamin Benninghofen

Computer Algorithms for Solving Linear Algebraic Equations: The State of the Art (NATO Asi Series. Series F, Computer and Systems Scie by Emilio Spedicato


Recent Computer_algebra_system related patents

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