Maxima (/ˈmæksɪmə/) is a powerful software package for performing computer algebra calculations in mathematics and the physical sciences. It is written in Common Lisp and runs on all POSIX platforms such as macOS, Unix, BSD, and Linux, as well as under Microsoft Windows and Android. It is free software released under the terms of the GNU General Public License (GPL).
Developer(s)  Macsyma group at Project MAC and volunteer contributors 

Initial release  1982 
Stable release  5.47.0^{[1]}
/ 1 June 2023 
Repository 

Written in  Common Lisp 
Operating system  Crossplatform 
Type  Mathematical software 
License  GPL 
Website  maxima 
Maxima is based on a 1982 version of Macsyma, which was developed at MIT with funding from the United States Department of Energy and other government agencies. A version of Macsyma was maintained by Bill Schelter from 1982 until his death in 2001. In 1998, Schelter obtained permission from the Department of Energy to release his version under the GPL. That version, now called Maxima, is maintained by an independent group of users and developers. Maxima does not include any of the many modifications and enhancements made to the commercial version of Macsyma during 1982–1999. Though the core functionality remains similar, code depending on these enhancements may not work on Maxima, and bugs which were fixed in Macsyma may still be present in Maxima, and vice versa. Maxima participated in Google Summer of Code in 2019 under International Neuroinformatics Coordinating Facility.^{[2]}
Like most computer algebra systems, Maxima supports a variety of ways of reorganizing symbolic algebraic expressions, such as polynomial factorization, polynomial greatest common divisor calculation, expansion, separation into real and imaginary parts, and transformation of trigonometric functions to exponential and vice versa. It has a variety of techniques for simplifying algebraic expressions involving trigonometric functions, roots, and exponential functions. It can calculate symbolic antiderivatives ("indefinite integrals"), definite integrals, and limits. It can derive closedform series expansions as well as terms of TaylorMaclaurinLaurent series. It can perform matrix manipulations with symbolic entries.
Maxima is a generalpurpose system, and specialcase calculations such as factorization of large numbers, manipulation of extremely large polynomials, etc. are sometimes better done in specialized systems.
Maxima specializes in symbolic operations, but it also offers numerical capabilities^{[3]} such as arbitraryprecision integer, rational number, and floatingpoint numbers, limited only by space and time constraints.
Maxima includes a complete programming language with ALGOLlike syntax but Lisplike semantics. It is written in Common Lisp and can be accessed programmatically and extended, as the underlying Lisp can be called from Maxima. It uses gnuplot for drawing.
For calculations using floating point and arrays heavily, Maxima has translators from the Maxima language to other programming languages (notably Fortran), which may execute more efficiently.
Various graphical user interfaces (GUIs) are available for Maxima:
bfloat(sqrt(2)), fpprec=40;
f(x):=x^3$
f(4);
expand((ab)^3);
factor(x^21);
solve(x^2 + a*x + 1, x);
find_root(cos(x) = x, x, 0, 1);
bf_find_root(cos(x) = x, x, 0, 1), fpprec = 50;
integrate(x^2 + cos(x), x);
integrate(1/(x^3 + 1), x, 0, 1), ratsimp;
quad_qags(sin(sin(x)), x, 0, 2)[1];
diff(cos(x)^2, x, 3);
limit((1+sinh(x))/exp(x), x, inf);
primes(10, 20);
fib(10);
sum(1/x^2, x, 1, inf), simpsum;
taylor(sin(x), x, 0, 9);
niceindices(powerseries(cos(x), x, 0));
bessel_j(0, 4.5);
airy_ai(1.5);