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Maximum and Minimum PrinciplesA Unified Approach with Applications: 1 (Cambridge Texts in Applied Mathematics, Series Number 1)

Format: Paperback

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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. 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.

Genre: Mathematics, Geometry
Format: Paperback
Published: 1987
Pages: 468
Publisher: Cambridge University Press
ISBN: 9780521348768

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Our conditions mean the following:

  • New - a brand new book
  • Almost New - appears new but is actually secondhand.
  • Very Good - only minor imperfections such as minor scuffs to edge or cover or a price written in pencil or shop sticker.
  • Standard Secondhand - Clearly been read before, but not too bad. We do not recommend these for gifting. Spines usually creased. Could also include creases or folds to cover, some writing such as in the cover or elsewhere, underlining or highlighting, but might not do. Possibly some stains or marks. Similar in general to books in any secondhand shop or charity shop.
  • Poor Condition - Usually this will have a specific problem such as writing inside, water damage, missing dust jacket, heavy staining, large creases or cuts. These are readable copies but not nice ones. On other websites this condition is called 'Acceptable' or 'Fair' , but we want to be more honest.
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