In this book, the author uses a concise and pedagogical style to
cover all the topics necessary for a graduate-level course in
dynamics based on Hamiltonian methods. Readers are introduced to
the impressive advances in the field during the second half of
the twentieth-century, including KAM theory and deterministic
chaos. Essential to these developments are some exciting ideas
from modern mathematics, which are introduced carefully and
selectively. Core concepts and techniques are discussed,
together with numerous concrete examples to illustrate key
principles. A special feature of the book is the use of computer
software to investigate complex dynamical systems, both
analytically and numerically. This text is ideal for graduate
students and advanced undergraduates who are already familiar
with the Newtonian and Lagrangian treatments of classical
mechanics. The book is well suited to a one-semester course, but
is easily adapted to a more concentrated format of one-quarter
or a trimester. A solutions manual an