Home > Computer algebra system

• 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
• typesetting system for mathematical expressions (see "pretty print")

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 interpretedIn computer programming, an interpreted language is a programming language whose programs may be executed from source form, by an interpreter. Any language may, in theory, be compiled or interpreted; therefore, this designation refers to languages' implem and the bignum system may cause overhead. (Note that MATLAB and Octave are interpreted also.)

1 History

Computer algebra systems began to appear in the early 1970sMillennia: 1st millennium 2nd millennium 3rd millennium Centuries: 19th century 20th century 21st century Decades: 1920s 1930s 1940s 1950s 1960s 1970s 1980s 1990s 2000s 2010s 2020s Years: 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 Events and trends, and evolved out of research into artificial intelligenceThis article is about modelling human thought with computers,. For other uses of the term AI see Ai''. Artificial intelligence also known as machine intelligence is defined as intelligence exhibited by anything manufactured (i. artificial) by humans or ot (the fields are now regarded as largely separate). The first popular systems were ReduceREDUCE is a general-purpose computer algebra system geared towards applications in physics. The development of the REDUCE computer algebra system was started in the 1960s by Anthony C. Since then, many scientists from all over the world have contributed t, Derive and Macsyma which are still commercially available; a copyleftit has no recognized legal meaning. Copyleft describes a group of licenses applied to works such as software, documents, and art. Where copyright law is seen by the original proponents of copyleft as a way to restrict the right to make and redistribute co version of Macsyma called GNU Maxima is actively being maintained. The current market leaders are MapleMaple is a general purpose commercial computer algebra system. It was first developed in 1981 by the Symbolic Computation Group at the University of Waterloo in Waterloo, Ontario, Canada. Since 1988, it has been developed and sold commercially by Waterloo and MathematicaMathematica is a widely-used computer algebra system originally developed by Stephen Wolfram and sold by his company Wolfram Research. Mathematica is also a powerful programming language emulating multiple paradigms on top of term-rewriting. Overview Wolf; both are commonly used by research mathematicians, scientists, and engineers. 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.