Book:James G. Simmonds/A First Look at Perturbation Theory/Second Edition
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James G. Simmonds and James E. Mann, Jr.: A First Look at Perturbation Theory (2nd Edition)
Published $\text {1998}$, Dover Publications, Inc.
- ISBN 0-486-67551-3
Subject Matter
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
Further Editions
Source work progress
- 1998: James G. Simmonds and James E. Mann, Jr.: A First Look at Perturbation Theory (2nd ed.) ... (next): Chapter $1$: Introduction and Overview