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Perturbations: Theory and Methods

Perturbations: Theory and Methods

Paperback

Series: Classics in Applied Mathematics, Book 27

General Mathematics

Currently unavailable to order

ISBN10: 0898714435
ISBN13: 9780898714432
Publisher: Society for Industrial and Applied Mathematic
Published: Jan 1 1987
Pages: 529
Language: English
Perturbations: Theory and Methods gives a thorough introduction to both regular and singular perturbation methods for algebraic and differential equations. Unlike most introductory books on the subject, this one distinguishes between formal and rigorous asymptotic validity, which are commonly confused in books that treat perturbation theory as a bag of heuristic tricks with no foundation. The meaning of 'uniformity' is carefully explained in a variety of contexts. All standard methods, such as rescaling, multiple scales, averaging, matching, and the WKB method are covered, and the asymptotic validity (in the rigorous sense) of each method is carefully proved.

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General Mathematics