This book looks at dynamics as an iteration process where
the output of a function is fed back as an input to
determine the evolution of an initial state over time. The
theory examines errors which arise from round-off in
numerical simulations, from the inexactness of mathematical
models used to describe physical processes, and from the
effects of external controls. The author provides an
introduction accessible to beginning graduate students and
emphasizing geometric aspects of the theory. Conley's ideas
about rough orbits and chain-recurrence play a central role
in the treatment. The book will be a useful reference for
mathematicians, scientists, and engineers studying this
field, and an ideal text for graduate courses in dynamical
systems.