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.