I am using the Mathematica System on the study of several mathematical subjects:
1) Dynamical systems: Computing graphic plots of basins of non repelling cyclic points of rational functions on the Riemann Sphere and plotting their Julia sets.
2) Computing measures (area or probability) of basins using polyhedral subdivisions of regular CW-structures of manifolds.
3) Computing sectional curvature and geodesics of Riemannian manifolds
4) Data mining and approximations by the procedure of partition of the unity