Perturbations: Theory and Methods

Murdock, James A.

ISBN 10: 0471612944 / ISBN 13: 9780471612940

Edité par Wiley-Interscience, 1991

A propos de cet article

Item in good condition. Textbooks may not include supplemental items i.e. CDs, access codes etc.

N° de réf. du vendeur 00088948675

Détails bibliographiques

• Titre: Perturbations: Theory and Methods
• Éditeur: Wiley-Interscience
• Date de parution: 1991
• Langue: anglais
• ISBN à 10 chiffres: 0471612944
• ISBN à 13 chiffres: 9780471612940
• Reliure: Couverture rigide
• État de l'article: Good

A propos de ce titre

Synopsis

This is a course in perturbation theory for the solution of algebraic and differential equations, especially ordinary differential equations. It covers all of the methods commonly used in both regular and singular perturbations: Taylor series, Lindstedt series, strained parameters, multiple scales, averaging, matching and WKB methods. The text pays great attention to understanding the meaning of the results, as it is extremely easy to make mistakes and draw invalid conclusions from a perturbation analysis.

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.