MuPAD is a computer algebra system (CAS). Originally developed by the
MuPAD research group at the University of Paderborn, Germany,
development was taken over by the company SciFace Software GmbH &
Co. KG in cooperation with the
MuPAD research group and partners from
some other universities starting in 1997.
Until autumn 2005, the version "
MuPAD Light" was offered for free for
research and education, but as a result of the closure of the home
institute of the
MuPAD research group, only the version "
became available for purchase.
MuPAD kernel is bundled with
Scientific Notebook and Scientific
Workplace. Former versions of
MuPAD Pro were bundled with SciLab. In
MathCAD's version 14 release Mupad was adopted as the CAS engine.
In September 2008, SciFace was purchased by
MathWorks and the MuPAD
code was included in the Symbolic Math Toolbox add-on for MATLAB. On
28 September 2008,
MuPAD was withdrawn from the market as a software
product in its own right. However, it is still available in the
Symbolic Math Toolbox in
MATLAB and can also be used as a stand-alone
a computer algebra system to manipulate formulas symbolically
classic and verified numerical analysis in discretionary accuracy
program packages for linear algebra, differential equations, number
theory, statistics, and functional programming
an interactive graphic system that supports animations and transparent
areas in 3D
a programming language that supports object-oriented programming and
Often used commands are accessible via menus.
MuPAD offers a notebook
concept similar to word processing systems that allows the formulation
of mathematical problems as well as graphics visualization and
explanations in formatted text.
MuPad does not follow the NIST 4.37 definition for inverse hyperbolic
It is possible to extend
MuPAD with C++-routines to accelerate
calculations. Java code can also be embedded.
MuPAD's syntax was modeled on Pascal, and is similar to the one used
in the Maple computer algebra system. An important difference between
the two is that
MuPAD provides support for object-oriented
programming. This means that each object "carries with itself" the
methods allowed to be used on it. For example, after defining
A := matrix( [[1,2],[3,4]] )
all of the following are valid expressions and give the expected
A+A, -A, 2*A, A*A, A^-1, exp( A ), A.A, A^0, 0*A
where A.A is the concatenated 2×4 matrix, while all others, including
the last two, are again 2×2 matrices.
^ Support for MuPAD
Computer algebra systems
MATLAB symbolic math toolbox)