A First Look at Perturbation Theory

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Courier Corporation, 1998 - Mathematics - 139 pages
2 Reviews
Emphasizing the "why" as well as the "how," this useful and well-written introductory text explains methods for obtaining approximate solutions to mathematical problems by exploiting the presence of small, dimensionless parameters. Geared toward undergraduates in engineering and the physical sciences. Preface. Bibliography. Appendixes.
 

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User Review  - amarcobio - LibraryThing

Perturbation theory is another of these wonderful applications of Taylor series expansions, and has a tremendous importance is solving (approximately) non-linear systems. This very short book has ... Read full review

Contents

Roots of Polynomials
29
Singular Perturbations in Ordinary Differential Equations
39
Periodic Solutions of the Simplest Nonlinear Differential
45
Introduction to the TwoScale Method
61
The WKB Approximation
71
Transition Point Problems and Langers Method of Uni
81
Introduction to Boundary Layer Theory
91
Ancient and Modern Problems
107
Bibliography
121
B Proof that RN+1 O0N+1
127
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About the author (1998)

Simmonds, University of Virginia.

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