Maximum and Minimum Principles: A Unified Approach with Applications - Couverture rigide

Sewell, M. J.

Couverture rigide

ISBN 10 : 0521332443 ISBN 13 : 9780521332446

Editeur : Cambridge University Press, 1987

Synopsis

This book provides a unified account of the theory required to establish upper and lower bounds.

A propos du livre

Présentation de l'éditeur

In many problems of applied mathematics, science, engineering or economics, an energy expenditure or its analogue can be approximated by upper and lower bounds. This book provides a unified account of the theory required to establish such bounds, by expressing the governing conditions of the problem, and the bounds, in terms of a saddle functional and its gradients. There are several features, including a chapter on the Legendre dual transformation and some of its singularities. Many substantial examples and exercises are included, especially from the mechanics of fluids, elastic and plastic solids and from optimisation theory. The saddle functional viewpoint gives the book a wide scope. The treatment is straightforward, the only prerequisite being a basic knowledge of the calculus of variations. Part of the book is based on final-year undergraduate courses. This is developed into an account which will interest a wide range of students and professionals in applied mathematics, engineering, physics and operations research.

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 1987
• Langue: anglais
• ISBN 10: 0521332443
• ISBN 13: 9780521332446
• Reliure: Relié
• Nombre de pages: 484
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France