One-dimensional Variational Problems by Giuseppe Buttazzo

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One-dimensional Variational Problems by Giuseppe Buttazzo

Regular price $185.00
Condition - New
40+ In stock
Regular price $185.00
Condition - New
40+ In stock

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Summary

This book combines the efforts of a distinguished team of authors, who are all renowned mathematicians and expositors, and provides a modern introduction to the calculus of variations. By focusing on the one-dimensional case it remains relatively free of technicalities, and therefore provides a useful overview of the theory at a level suitable for graduate students.

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One-dimensional Variational Problems by Giuseppe Buttazzo

One-dimensional variational problems have been somewhat neglected in the literature on calculus of variations, as authors usually treat minimal problems for multiple integrals which lead to partial differential equations and are considerably more difficult to handle. One-dimensional problems are connected with ordinary differential equations, and hence need many fewer technical prerequisites, but they exhibit the same kind of phenomena and surprises as variational problems for multiple integrals. This book provides an modern introduction to this subject, placing special emphasis on direct methods. It combines the efforts of a distinguished team of authors who are all renowned mathematicians and expositors. Since there are fewer technical details graduate students who want an overview of the modern approach to variational problems will be able to concentrate on the underlying theory and hence gain a good grounding in the subject. Except for results from the theory of measure and integration and from the theory of convex functions, the text develops all mathematical tools needed, including the basic results on one-dimensional Sobolev spaces, absolutely continuous functions, and functions of bounded variation.
SKU NIN9780198504658
ISBN 13 9780198504658
ISBN 10 0198504659
Title One-dimensional Variational Problems
Author Giuseppe Buttazzo
Series Oxford Lecture Series In Mathematics And Its Applications
Condition New
Publisher Oxford University Press
Year published 1999-01-28
Number of pages 270
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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