03226cam a2200421 i 4500 18586283 EG-ScBUE 20241008145340.0 150422t2015 sz a f b 001 0 eng d 9783319183107 3319183109 (OCoLC)ocn913720152 CDX eng rda CDX EG-ScBUE eng rus 22 515.35 ASY Asymptotic methods in mechanics of solids = Asimptoticheskie metody v mekhanike tverdogo tela / Svetlana M. Bauer [and four others] Asimptoticheskie metody v mekhanike tverdogo tela Cham, Switzerland : Birkhäuser / Springer International Publishing, [2015] c2015 xxi, 325 pages : illustrations ; 24 cm. rdacontent text txt unmediated rdamedia n volume nc rdacarrier International series of numerical mathematics, 0373-3149 ; volume 167 Includes bibliographical references and index. Asymptotic estimates -- Asymptotic estimates for integrals -- Regular perturbation of ordinary differential equations -- Singularly perturbed linear ordinary differential equations -- Singularly perturbed linear ordinary differential equations with turning points -- Asymptotic integration of nonlinear differential equations. 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. -- Mathematical physics Asymptotic theory. BUEsh 40931 Singular perturbations (Mathematics). BUEsh 40932 Differential equations Asymptotic theory. BUEsh 36430 BUEsh ENGELC August 2016 Reading book Bauer, Svetlana M., author. 40930 Springer Link E-books E-book http://link.springer.com/book/10.1007/978-3-319-18311-4 Full text available on campus access Springer Link E-books E-book http://41.33.243.106:2048/login?url=http://link.springer.com/book/10.1007/978-3-319-18311-4 Full text available off campus access ddc BB 22254 22226 0 0 ddc 0 0 Academic MAIN MAIN 1ST 2016-08-28 Purchase 1045.00 9155 0 515.35 ASY 000033184 2025-07-15 00:00:00 1306.25 2016-08-28 BB