Mathematical software

Mathematical software is software used to model, analyze or calculate numeric, symbolic or geometric data.

Computer algebra systems

Main article: List of computer algebra systems

Many mathematical suites are computer algebra systems that use symbolic mathematics. They are designed to solve classical algebra equations and problems in human readable notation.

Statistics

Main article: List of statistical packages

Many tools are available for statistical analysis of data. See also Comparison of statistical packages.

Geometry

Main article: List of interactive geometry software

Main article: List of information graphics software

Numerical analysis

Main article: List of numerical analysis software

The Netlib repository contains various collections of software routines for numerical problems, mostly in Fortran and C. Commercial products implementing many different numerical algorithms include the IMSL, NMath and NAG libraries; a free alternative is the GNU Scientific Library. A different approach is taken by the Numerical Recipes library, where emphasis is placed on clear understanding of algorithms.

Many computer algebra systems (listed above) can also be used for numerical computations.

See also Comparison of numerical analysis software.

Solvers

Solvers are a class of mathematical software that take problem descriptions in some sort of generic form and calculate their solution. In a solver, the emphasis is on creating a program or library that can easily be applied to other problems of similar type. For problems of a particular class (e.g. systems of non-linear equations) there are usually a wide range of different algorithms available; sometimes a solver implements multiple algorithms, but sometimes just one. Normally, solvers just use numerical methods, although there are some solvers that are capable of performing some symbolic manipulation to find a solution.

Programming libraries

Low-level mathematical libraries intended for use within other programming languages:

• GMP, the GNU Multi-Precision Library for extremely fast arbitrary precision arithmetic.
• Class Library for Numbers, a high-level C++ library for arbitrary precision arithmetic.

External links

• Mathstore published reviews of packages by United Kingdom Higher Education Academy's Maths, Stats & OR Network.
• CTI-Maths Older reviews.

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