Computer algebra: Difference between revisions

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{{incomplete|the content that is summarized in the lead|date=May 2020}}
 
[[File:RischIntegration.PNG|thumb|500px|[[Symbolic integration]] of the [[algebraic function]] ''f''(''x'') = {{sfrac|''x''|{{sqrt|''x''<sup>4</sup> + 10''x''<sup>2</sup> - 96''x'' - 71}}}} using the computer algebra system ''[[Axiom (computer algebra system)|Axiom]]'']]
In [[mathematics]] and [[computer science]],<ref>{{Cite web |title=ACM Association in computer algebra |url=https://www.sigsam.org/cca/}}</ref> '''computer algebra''', also called '''symbolic computation''' or '''algebraic computation''', is a scientific area that refers to the study and development of [[algorithm]]s and [[software]] for manipulating [[expression (mathematics)|mathematical expressions]] and other [[mathematical object]]s. Although computer algebra could be considered a subfield of [[scientific computing]], they are generally considered as distinct fields because scientific computing is usually based on [[numerical computation]] with approximate [[floating point number]]s, while symbolic computation emphasizes ''exact'' computation with expressions containing [[variable (mathematics)|variable]]s that have no given value and are manipulated as symbols.