Perturbation theory and in particular normal form theory has shown
strong growth in recent decades. This book is a drastic revision of
the first edition of the averaging book. The updated chapters
represent new insights in averaging, in particular its relation
with dynamical systems and the theory of normal forms. Also new are
survey appendices on invariant manifolds. One of the most striking
features of the book is the collection of examples, which range
from the very simple to some that are elaborate, realistic, and of
considerable practical importance. Most of them are presented in
careful detail and are illustrated with illuminating diagrams.
General
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