Perturbations: Theory and Methods (Classics in Applied...

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Perturbations: Theory and Methods (Classics in Applied Mathematics)

Name: Perturbations: Theory and Methods (Classics in Applied Mathematics)
ISBN: 9780898714432

James A. Murdock

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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.

Κατηγορίες:

Mathematics

Έτος:

1987

Εκδότης:

SIAM

Γλώσσα:

english

Σελίδες:

530

ISBN 10:

0898714435