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This book provides a broad introduction to the subject of dynamical systems, suitable for a one or two-semester graduate course. In the first chapter, the authors introduce over a dozen examples, and then use these examples throughout the book to motivate and clarify the development of the theory. Topics include topological dynamics, symbolic dynamics, ergodic theory, hyperbolic dynamics, one-dimensional dynamics, complex dynamics, and measure-theoretic entropy. The authors top off the presentation with some beautiful and remarkable applications of dynamical systems to areas such as number theory, data storage, and internet search engines.
This book provides a broad introduction to the subject of dynamical
systems, suitable for a one- or two-semester graduate course. In
the first chapter, the authors introduce over a dozen examples, and
then use these examples throughout the book to motivate and clarify
the development of the theory. Topics include topological dynamics,
symbolic dynamics, ergodic theory, hyperbolic dynamics,
one-dimensional dynamics, complex dynamics, and measure-theoretic
entropy. The authors top off the presentation with some beautiful
and remarkable applications of dynamical systems to such areas as
number theory, data storage, and Internet search engines. This book
grew out of lecture notes from the graduate dynamical systems
course at the University of Maryland, College Park, and reflects
not only the tastes of the authors, but also to some extent the
collective opinion of the Dynamics Group at the University of
Maryland, which includes experts in virtually every major area of
dynamical systems.
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