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The development of the computer algebra systems in the second half of the 20th century is part of the discipline of "computer algebra" or "symbolic computation", which has spurred work in algorithms over mathematical objects such as polynomials. Computer algebra systems may be divided into two classes: specialized and general-purpose.
Symbolic integration of the algebraic function f(x) = x / √ x 4 + 10x 2 − 96x − 71 using the computer algebra system Axiom. In mathematics and computer science, [1] computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms and software for manipulating mathematical expressions and other ...
The following tables provide a comparison of computer algebra systems (CAS). [ 1 ] [ 2 ] [ 3 ] A CAS is a package comprising a set of algorithms for performing symbolic manipulations on algebraic objects, a language to implement them, and an environment in which to use the language.
A computer algebra system (CAS) or symbolic computation system is a system of software packages that facilitates symbolic mathematics. Typically, these systems include arbitrary precision arithmetic, allowing for instance to evaluate pi to 10,000 digits.
Magma includes the KANT computer algebra system for comprehensive computations in algebraic number fields. A special type also allows one to compute in the algebraic closure of a field. Module theory and linear algebra; Magma contains asymptotically fast algorithms for all fundamental dense matrix operations, such as Strassen multiplication ...
Macaulay2 is built around fast implementations of algorithms useful for computation in commutative algebra and algebraic geometry. This core functionality includes arithmetic on rings, modules, and matrices, as well as algorithms for Gröbner bases, free resolutions, Hilbert series, determinants and Pfaffians, factoring, and similar.
This is a category of topic relating to computer algebra, which cover general information about algorithms and techniques useful for computer algebra. Specific computer algebra systems are covered in the subcategory Category:Computer algebra systems .
REDUCE is a general-purpose computer algebra system originally geared towards applications in physics. The development of REDUCE was started in 1963 by Anthony C. Hearn. Since then, many scientists from all over the world [2] have contributed to its development.
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