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Maximum and Minimum Principles A Unified Approach with Applications

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ISBN-10: 0521348765

ISBN-13: 9780521348768

Edition: 1987

Authors: M. J. Sewell

List price: $55.99
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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.…    
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Book details

List price: $55.99
Copyright year: 1987
Publisher: Cambridge University Press
Publication date: 12/17/1987
Binding: Paperback
Pages: 488
Size: 5.98" wide x 8.98" long x 0.98" tall
Weight: 1.562
Language: English

Saddle function problems
Duality and Legendre transformations
Upper and lower bounds via saddle functionals
Extensions of the general approach
Mechanics of solids and fluids