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Item Details
Title: ASYMPTOTIC METHODS IN MECHANICS OF SOLIDS
By: Andrei L. Smirnov, Remi Vaillancourt, Svetlana M. Bauer
Format: Hardback

List price: £89.99


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ISBN 10: 3319183109
ISBN 13: 9783319183107
Publisher: BIRKHAUSER
Pub. date: 31 May, 2015
Edition: 2015 ed.
Series: International Series of Numerical Mathematics 167
Pages: 325
Translated from: Russian
Description: Asymptotic methods in mechanics of solids
Synopsis: The construction of solutions of singularly perturbed systems of equations and boundary value problems that are characteristic for the mechanics of thin-walled structures are the main focus of the book. The theoretical results are supplemented by the analysis of problems and exercises. Some of the topics are rarely discussed in the textbooks, for example, the Newton polyhedron, which is a generalization of the Newton polygon for equations with two or more parameters. After introducing the important concept of the index of variation for functions special attention is devoted to eigenvalue problems containing a small parameter. The main part of the book deals with methods of asymptotic solutions of linear singularly perturbed boundary and boundary value problems without or with turning points, respectively. As examples, one-dimensional equilibrium, dynamics and stability problems for rigid bodies and solids are presented in detail. Numerous exercises and examples as well as vast references to the relevant Russian literature not well known for an English speaking reader makes this a indispensable textbook on the topic.
Illustrations: 88 Illustrations, black and white; XXI, 325 p. 88 illus.
Publication: Switzerland
Imprint: Birkhauser
Returns: Returnable
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