The Method of Perturbations (asymptotic expansions) is an approximations technique for solving complicated problems in mathematics, engineering and physics involving nonlinear equations, variable coefficients and nonlinear boundary conditions. The purpose of this book is to present in a unified way an account of some of these techniques, pointing out their similarities, differences, and advantages, as well as their limitations.
Table of ContentsStraightforward Expansions and Sources of Nonuniformity.
The Method of Strained Coordinates.
The Methods of Matched and Composite Asymptotic Expansions.
Variation of Parameters and Methods of Averaging.
The Method of Multiple Scales.
Asymptotic Solutions of Linear Equations.
References and Author Index.