matlab contains many numerical analysis routines. Also installed is
- the Extended Symbolic Maths Toolbox which gives access to the full Maple library of routines to factorise, integrate, solve etc, symbolically. Type mhelp within matlab for details or read the Symbolic Math Toolbox Reference.
- the Statistics Toolbox User's Guide includes a tutorial.
Matlab routines can also be called from C or fortran. The routines are documented online. Copies of the External Interface Guide manual are available from the operators at the end of the DPO.
octave is available on our teaching system. It's somewhat like Matlab, but it's free. It has extensive tools for solving common numerical linear algebra problems, finding the roots of nonlinear equations, integrating ordinary functions, manipulating polynomials, and integrating ordinary differential and differential-algebraic equations.
We don't have Mathematica on the central system, but we have the player - MathematicaPlayer - so you can run programs like those on http://demonstrations.wolfram.com.
netlib has software for various languages. A useful program from there is paranoia, software for exploring the floating point system on your computer. For info about floating point maths, David W. Fanning's article might also be useful.
GSL is the GNU Scientific Library - a numerical library for C and C++ programmers. It is free software under the GNU General Public License. The library provides a wide range of mathematical routines such as random number generators, special functions and least-squares fitting. There are over 1000 functions in total with an extensive test suite.
The University's computing service offers a course on computer arithmetic. Extensive course notes are online - see How Computers Handle Numbers
Look at our Scientific Computing page if you intend doing lots of numerical work.
Try The Online Mathematics Subject Tree or Yahoo for journals, software, and links to other sites. The WWW Math Archive is also good. You can try Cambridge University's Pure Mathematics department or Newton Institute.
FLENS is a Flexible Library for Efficient Numerical Solutions.
The Travelling Salesman Problem has a page too.