Articles liés à Perturbations: Theory and Methods
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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Présentation de l'éditeur
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 (Classics in Applied Mathematics, Series Number 27)
Edité par
Society for Industrial and Applied Mathematics, 1987
ISBN 10 : 0898714435
ISBN 13 : 9780898714432
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Vendeur : Bay State Book Company, North Smithfield, RI, Etats-Unis
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Etat : very_good. N° de réf. du vendeur BSM.TVC1
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