Description: Asymptotic methods in mechanics of solids Please note: this item is printed on demand and will take extra time before it can be dispatched to you (up to 20 working days). Author(s): Svetlana M. Bauer, Sergei B. Filippov, Andrei L. Smirnov, Petr E. Tovstik, Remi Vaillancourt Format: Paperback Language: English Publisher: Birkhauser Verlag AG, Switzerland Imprint: Birkhauser Verlag AG ISBN-13: 9783319386829, 978-3319386829 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.
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Location: Aldershot
End Time: 2025-01-12T09:31:15.000Z
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Book Title: Asymptotic methods in mechanics of solids
Number of Pages: 325 Pages
Language: English
Publication Name: Asymptotic Methods in Mechanics of Solids
Publisher: Birkhauser Verlag A&G
Publication Year: 2016
Subject: Mechanics, Mathematics
Item Height: 235 mm
Item Weight: 534 g
Type: Textbook
Author: Petr E. Tovstik, Svetlana M. Bauer, Andrei L. Smirnov, Remi Vaillancourt, Sergei B. Filippov
Series: International Series of Numerical Mathematics
Item Width: 155 mm
Format: Paperback