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 $1998$, 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
A Roots of $\map {T_\epsilon} z$ and $\map {T_0} z$
B Proof that $R_{N + 1} = \map O {\beta^{N + 1} }$
C Approximate Evaluation of Integrals


Further Editions