Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory - Couverture souple

Bender, Carl M. M.; Orszag, Steven A.

 
9781441931870: Advanced Mathematical Methods for Scientists and Engineers I: Asymptotic Methods and Perturbation Theory
Couverture souple
ISBN 10 : 1441931872 ISBN 13 : 9781441931870
Editeur : Springer, 2010

Synopsis

Intended for graduate students and advanced undergraduates, this book gives a clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. These methods allow one to analyze physics and engineering problems that may not be solvable in closed form and for which brute- force numerical methods may not provide useful solutions.

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

Présentation de l'éditeur

A clear, practical and self-contained presentation of the methods of asymptotics and perturbation theory for obtaining approximate analytical solutions to differential and difference equations. Aimed at teaching the most useful insights in approaching new problems, the text avoids special methods and tricks that only work for particular problems. Intended for graduates and advanced undergraduates, it assumes only a limited familiarity with differential equations and complex variables. The presentation begins with a review of differential and difference equations, then develops local asymptotic methods for such equations, and explains perturbation and summation theory before concluding with an exposition of global asymptotic methods. Emphasizing applications, the discussion stresses care rather than rigor and relies on many well-chosen examples to teach readers how an applied mathematician tackles problems. There are 190 computer-generated plots and tables comparing approximate and exact solutions, over 600 problems of varying levels of difficulty, and an appendix summarizing the properties of special functions.

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

Éditeur
Springer
Date d'édition
2010
Langue
anglais
ISBN 10 
1441931872
ISBN 13 
9781441931870
Reliure
Broché
Numéro d'édition
1
Nombre de pages
608
Coordonnées du fabricant
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

Europaplatz 3,69115 Heidelberg, Germany
Heidelberg
69115
Allemagne

Autres éditions populaires du même titre

9788181289063: Advanced Mathematical Methods for Scientists and Engineers I

Edition présentée

ISBN 10 :  8181289064 ISBN 13 :  9788181289063
Couverture souple