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Asymptotic methods in mechanics of solids (Hardcover, 2015 ed.)
Loot Price: R2,828
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Asymptotic methods in mechanics of solids (Hardcover, 2015 ed.)
Series: International Series of Numerical Mathematics, 167
Expected to ship within 10 - 15 working days
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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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