Department of Mathematics,

University of Giessen,

Arndtstrasse 2,

D-35392 Giessen,

GERMANY

and

Department of Mathematics,

Faculty of Science and Mathematics,

University of Nis,

Visegradska 33,

18000 Nis,

SERBIA AND MONTENEGRO

E-mail: eberhard.malkowsky@Math.uni-giessen.de, ema@Bankerinter.net

**Visualisation and Animations in Mathematics**

**Abstract:**

We use our own software package for visualisation and animations in
mathematics in both teaching and research. In particular, we discuss the
representation of neighbourhoods in certain weak topologies, surfaces of
rotation generated by general cycloids, and isometric, conformal and area
preserving maps between surfaces.

Research supported by the research grant #1646 of the Serbian Ministry of Science, Technology and Development.