Recent interactions between the fields of geometry, classical and quantum dynamical systems, and visualization of geometric objects such as curves and surfaces

An emerging field of discrete differential geometry aims at the development of discrete equivalents of notions and methods of classical differential geometry. T

A first introduction to the theory of discrete integrable systems at a level suitable for students and non-experts.

The Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations which are called