ENGLISH

Maximum and Minimum Principles: A Unified Approach with Applications

By M. J. Sewell

Book information

Publisher
Cambridge University Press
Year
1988
ISBN
0521332443, 0511569238, 0521348765, 9780511569234, 9780521332446, 9780521348768
LCC
QA316 .S35 1987
Open Library ID
OL2726955M
Language
english
Format
DJVU
Filesize
2 MB (2326693 bytes)
Series
Cambridge Texts in Applied Mathematics
Pages
484\484
Time added
2011-01-06 10:13:16

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. 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.

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