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A computer algebra system ( CAS) is any with the ability to manipulate in a way similar to the traditional manual computations of. The development of the computer algebra systems in the second half of the 20th century is part of the discipline of ' or ', which has spurred work in over mathematical objects such as.Computer algebra systems may be divided into two classes: specialized and general-purpose. The specialized ones are devoted to a specific part of mathematics, such as, or teaching of.General-purpose computer algebra systems aim to be useful to a user working in any scientific field that requires manipulation of mathematical expressions. A Texas Instruments calculator that contains a computer algebra systemComputer algebra systems began to appear in the 1960s and evolved out of two quite different sources—the requirements of theoretical physicists and research into.A prime example for the first development was the pioneering work conducted by the later Nobel Prize laureate in physics, who designed a program for symbolic mathematics, especially high-energy physics, called (Dutch for 'clean ship') in 1963. Another early system was.Using as the programming basis, created in 1964 at within an artificial-intelligence research environment.
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Later MATHLAB was made available to users on PDP-6 and PDP-10 systems running TOPS-10 or TENEX in universities. Today it can still be used on emulations of the PDP-10. MATHLAB (' mathematical laboratory') should not be confused with (' matrix laboratory'), which is a system for numerical computation built 15 years later at the, accidentally named rather similarly.The first popular computer algebra systems were, (based on muMATH), and; a popular version of Macsyma called is actively being maintained.
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Became free software in 2008. As of todaythe most popular commercial systems are and, which are commonly used by research mathematicians, scientists, and engineers. Freely available alternatives include (which can act as a to several other free and nonfree CAS).In 1987, introduced the first hand-held calculator CAS with the, and it was possible, for the first time in a calculator, to arrange algebraic expressions, differentiation, limited symbolic integration, Taylor series construction and a solver for algebraic equations. In 1999, the independently developed CAS for the became an officially integrated part of the firmware of the emerging, and a year later into the as well, whereas the adopted the system in 2013.The company in 1995 released the calculator with a CAS based on the software; the replaced Derive in 2007. The, first released in 1998, also contains a CAS.