Description
Book SynopsisThis book is the testimony of a physical scientist whose language is singular perturbation analysis. Classical mathematical notions, such as matched asymptotic expansions, projections of large dynamical systems onto small centre manifolds, and modulation theory of oscillations based either on multiple scales or on averaging/transformation theory, are included.
Trade ReviewIn all, this book is a valuable completion to the literature on singular perturbations. It might be the first reference to read but also a good auxiliary in understanding more specialized books or papers."
—Vladimir Răsvan, Zentralblatt MATH
"This is a lucid textbook written in an easy style. The book will be useful to researchers and graduate students in various areas of mathematics, mechanics, and physics."
—V.A. Sobolev, Mathematical Reviews
Table of Contents
- What is a singular perturbation?
- Asymptotic expansions
- Matched asymptotic expansions
- Matched asymptotic expansions in PDE
- Prandtl boundary layer theory
- Modulated oscillations
- Modulation theory by transforming variables
- Nonlinear resonance
- Bibliography
- Index
