Perturbations: Theory and Methods: 27 (Classics in Applied Mathematics, Series Number 27) - Softcover
Synopsis
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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Perturbations : Theory and Methods
Published by
Society for Industrial and Applied Mathematics, 1999
ISBN 10: 0898714435
ISBN 13: 9780898714432
Used
Softcover
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