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.
