Asymptotic Analysis Of Differential Equations (Revised Edition) - Couverture souple

White, Roscoe B

 
9781848166080: Asymptotic Analysis Of Differential Equations (Revised Edition)

Synopsis

The book gives the practical means of finding asymptotic solutions to differential equations, and relates Wkb methods, integral solutions, Kruskal-Newton diagrams, and boundary layer theory to one another. The construction of integral solutions and analytic continuation are used in conjunction with the asymptotic analysis, to show the interrelatedness of these methods. Some of the functions of classical analysis are used as examples, to provide an introduction to their analytic and asymptotic properties, and to give derivations of some of the important identities satisfied by them. The emphasis is on the various techniques of analysis: obtaining asymptotic limits, connecting different asymptotic solutions, and obtaining integral representation.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The book gives the practical means of finding asymptotic solutions to differential equations, and relates Wkb methods, integral solutions, Kruskal-Newton diagrams, and boundary layer theory to one another. The construction of integral solutions and analytic continuation are used in conjunction with the asymptotic analysis, to show the interrelatedness of these methods. Some of the functions of classical analysis are used as examples, to provide an introduction to their analytic and asymptotic properties, and to give derivations of some of the important identities satisfied by them. The emphasis is on the various techniques of analysis: obtaining asymptotic limits, connecting different asymptotic solutions, and obtaining integral representation.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9781848166073: Asymptotic Analysis of Differential Equations

Edition présentée

ISBN 10 :  1848166079 ISBN 13 :  9781848166073
Editeur : Imperial College Press, 2010
Couverture rigide