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Perturbations: Theory and Methods
Paperback

Perturbations: Theory and Methods

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An introduction to both regular and singular perturbation methods for algebraic and differential equations. It 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 proved.

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MORE INFO
Format
Paperback
Publisher
Society for Industrial & Applied Mathematics,U.S.
Country
United States
Date
1 January 1987
Pages
529
ISBN
9780898714432

An introduction to both regular and singular perturbation methods for algebraic and differential equations. It 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 proved.

Read More
Format
Paperback
Publisher
Society for Industrial & Applied Mathematics,U.S.
Country
United States
Date
1 January 1987
Pages
529
ISBN
9780898714432