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Singular perturbation methods for ordinary differential equations
Robert E. J. (ed), Springer-Verlag New York, Inc., New York, NY, 1991. Type: Book (9780387975566)
Date Reviewed: Aug 1 1992

The author of this well-written but densely packed treatise relies on the reader to fill in the details in many of the special cases and examples considered. An extensive bibliography is annotated throughout the text.

The book has three chapters. The first introduces issues and ideas through illustrative examples. The second and third deal at length with initial value and boundary value problems respectively, involving many loosely connected subchapters. Even the introductory chapter is not elementary, and the novice would be well advised to consult a less substantive but more accessible treatment, such as that in Hinch [1], before taking on the challenge posed by this book. The author’s approach is as general and comprehensive as the intrinsically fragmented nature of the subject permits while eschewing excessive formality or formalism. If you use such techniques more than casually, this work is an indispensable reference.

Reviewer:  Donald G. M. Anderson Review #: CR115905
1) Hinch, E. J. Perturbation methods. Cambridge University Press, New York, 1991.
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