We give some illustrative examples of Computer Algebra capabilities using the AXIOM system. For more information about AXIOM please visit:

`http://www.nag.co.uk/symbolic_software.asp``http://www.nongnu.org/axiom/`

- AXIOM was designed at IBM during the 70's and 80's.
- Then AXIOM was maintained at NAG during the 90's.
- AXIOM became in the early 90's the most power computer algebra system, especially thanks to its programming language.
- Today, AXIOM has
*retired*by lack of support, although no other Computer Algebra systems have such powerful programming facilities. - However it could become a free software soon.
- Moreover, AXIOM has a son ALDOR born in the early 90's at IBM and growing today at UWO!

- Operations on rational numbers
- Operations on real numbers
- Operations on matrices
- Operations on univariate polynomials
- Algebraic systems
- Conclusions

2003-06-06