内容简介
This 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 center manifolds， and modulation theory of oscillations based either on multiple scales or on averaging/transformation theory， are included. The narratives of these topics are carried by physical examples： Let’s say that the moment when we “see” how a mathematical pattern fits a physical problem is like “hitting the ball”. Yes， we want to hit the ball. But a powerful stroke includes the follow-through. One intention of this book is to discern in the structure and/or solutions of the equations their geometric and physical content. Through analysis， we come to sense directly the shape and feel of phenomena.The book is structured into a main text of fundamental ideas and a subtext of problems with detailed solutions. Roughly speaking， the former is the initial contact between mathematics an...
