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

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

• 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

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Further Editions

• 1986: James G. Simmonds and James E. Mann, Jr.: A First Look at Perturbation Theory

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