Book:James G. Simmonds/A First Look at Perturbation Theory/Second Edition

Subject Matter

 * Perturbation Theory

Contents

 * Preface


 * $1$ Introduction and Overview


 * $2$ Roots of Polynomials


 * $3$ Singular Perturbations in Ordinary Differential Equations


 * $4$. Periodic Solutions of the Simplest Nonlinear Differential Equations. Poincaré's Method


 * $5$. Introduction to the Two-scale Method


 * $6$. The WKB Approximation


 * $7$. Transition Point Problems and Langer's Method of Uniform Approximation


 * $8$. Introduction to Boundary Layer Theory


 * $9$. Cables and Cells: Ancient and Modern Problems


 * Bibliography


 * $\text A$ Roots of $\map {T_\epsilon} z$ and $\map {T_0} z$


 * $\text B$ Proof that $R_{N + 1} = \map O {\beta^{N + 1} }$


 * $\text C$ Approximate Evaluation of Integrals



Source work progress
* : Chapter $1$: Introduction and Overview