Perturbations: Theory and Methods

Murdock, James A.

ISBN 10: 0471612944 / ISBN 13: 9780471612940

Edité par Wiley-Interscience, 1991

N° de réf. du vendeur 0471612944-VB

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.

Détails bibliographiques

Titre : Perturbations: Theory and Methods
Éditeur : Wiley-Interscience
Date d'édition : 1991
Reliure : hardcover
Etat : As New