Asymptotic methods in mechanics of solids (Paperback, Softcover reprint of the original 1st ed. 2015)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	International Series of Numerical Mathematics, 167
Release date:	October 2016
First published:	2015
Authors:	Svetlana M Bauer • Sergei B Filippov • Andrei L. Smirnov • Petr E. Tovstik • Remi Vaillancourt
Dimensions:	235 x 155 x 18mm (L x W x T)
Format:	Paperback
Pages:	325
Edition:	Softcover reprint of the original 1st ed. 2015
ISBN-13:	978-3-319-38682-9
Languages:	English
Subtitles:	Russian
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Physics > Classical mechanics > General
LSN:	3-319-38682-4
Barcode:	9783319386829

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