This engaging text describes the development of singular
perturbations, including its history, accumulating literature, and
its current status. While the approach of the text is
sophisticated, the literature is accessible to a broad audience. A
particularly valuable bonus are the historical remarks. These
remarks are found throughout the manuscript. They demonstrate the
growth of mathematical thinking on this topic by engineers and
mathematicians. The book focuses on detailing how the various
methods are to be applied. These are illustrated by a number and
variety of examples. Readers are expected to have a working
knowledge of elementary ordinary differential equations, including
some familiarity with power series techniques, and of some advanced
calculus. Dr. O'Malley has written a number of books on singular
perturbations. This book has developed from many of his works in
the field of perturbation theory.
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