Time-evolution in low-dimensional topological spaces is a subject of
puzzling vitality. This book is a state-of-the-art account, covering
classical and new results. The volume comprises Poincaré-Bendixson,
local and Morse-Smale theories, as well as a carefully written chapter
on the invariants of surface flows. Of particular interest are chapters
on the Anosov-Weil problem, C*-algebras and non-compact surfaces. The
book invites graduate students and non-specialists to a fascinating
realm of research. It is a valuable source of reference to the
specialists.