Asymptotic Approximation of Integrals - Couverture souple

Wong, R.

 
9780898714975: Asymptotic Approximation of Integrals
Couverture souple
ISBN 10 : 0898714974 ISBN 13 : 9780898714975
Editeur : Society for Industrial and Applied Mathematics, 2001

Synopsis

Asymptotic methods are frequently used in many branches of both pure and applied mathematics, and this classic text remains the most up-to-date book dealing with one important aspect of this area, namely, asymptotic approximations of integrals. In this book, all results are proved rigorously, and many of the approximation formulas are accompanied by error bounds. A thorough discussion on multidimensional integrals is given, with references provided. Asymptotic Approximations of Integrals contains the 'distributional method', not available elsewhere. Most of the examples in this text come from concrete applications. Since its publication twelve years ago, significant developments have occurred in the general theory of asymptotic expansions, including smoothing of the Stokes phenomenon, uniform exponentially improved asymptotic expansions, and hyperasymptotics. These new concepts belong to the area now known as 'exponential asymptotics'. Expositions of these new theories are available in papers published in various journals, but not yet in book form.

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

Présentation de l'éditeur

Asymptotic methods are frequently used in many branches of both pure and applied mathematics, and this classic text remains the most up-to-date book dealing with one important aspect of this area, namely, asymptotic approximations of integrals. In this book, all results are proved rigorously, and many of the approximation formulas are accompanied by error bounds. A thorough discussion on multidimensional integrals is given, with references provided. Asymptotic Approximations of Integrals contains the 'distributional method', not available elsewhere. Most of the examples in this text come from concrete applications. Since its publication twelve years ago, significant developments have occurred in the general theory of asymptotic expansions, including smoothing of the Stokes phenomenon, uniform exponentially improved asymptotic expansions, and hyperasymptotics. These new concepts belong to the area now known as 'exponential asymptotics'. Expositions of these new theories are available in papers published in various journals, but not yet in book form.

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

Éditeur
Society for Industrial and Applied Mathematics
Date d'édition
2001
Langue
anglais
ISBN 10 
0898714974
ISBN 13 
9780898714975
Reliure
Broché
Nombre de pages
184
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9781483207285: Asymptotic Approximations of Integrals: Computer Science and Scientific Computing

Edition présentée

ISBN 10 :  1483207285 ISBN 13 :  9781483207285
Editeur : Academic Press, 2014
Couverture souple