This book is aimed at mathematicians, scientists, and engineers, studying models that involve a discontinuity, or studying the theory of nonsmooth systems for its own sake. It is divided in two complementary courses: piecewise smooth flows and maps, respectively. Starting from well known theoretical results, the authors bring the reader into the latest challenges in the field, going through stability analysis, bifurcation, singularities, decomposition theorems and an introduction to kneading theory. Both courses contain many examples which illustrate the theoretical concepts that are introduced.

Dr Mike Jeffrey is a Senior Lecturer at the University of Bristol in the United Kingdom. Paul Glendinning is a Professor of Applied Mathematics at the University of Manchester in the United Kingdom.

Piecewise Smooth Flows.- Piecewise Smooth Maps.