Maximum and Minimum Principles: A Unified Approach, With Applications

M.J. Sewell

ISBN 10: 0521348765 / ISBN 13: 9780521348768

Published by Cambridge University Press, Cambridge, 1987

About this Item

Unread copy. Light shelf wear to covers, a little light marking to page edges. . Overall condition is Very Good. Size: 6 x 9 inches (15 x 23 cm). Paperback. Printed pages: xvi, 468.

Seller Inventory # 1189E213

Bibliographic Details

• Title: Maximum and Minimum Principles: A Unified Approach, With Applications
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 1987
• Language: English
• ISBN 10: 0521348765
• ISBN 13: 9780521348768
• Binding: Soft cover
• Edition: 1st Edition.
• Condition: Very Good
• Seller catalogs:
  • Science & Medicine

About this title

Synopsis

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.

Book Description

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.