Book:James G. Simmonds/A First Look at Perturbation Theory
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James G. Simmonds and James E. Mann, Jr.: A First Look at Perturbation Theory
Published $\text {1986}$, 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