000 | 03332cam a22004455a 4500 | ||
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001 | 18586283 | ||
005 | 20240818093011.0 | ||
008 | 150422s2015 sz a frb 001 0 eng d | ||
010 | _a 2015939430 | ||
020 | _a9783319183107 | ||
020 | _a3319183109 | ||
035 | _a(OCoLC)ocn913720152 | ||
040 |
_aCDX _beng _cCDX _dEG-ScBUE |
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041 | 1 |
_aeng _hrus |
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042 | _alccopycat | ||
050 | 1 | 4 | _aQA372 |
082 | 0 | 4 |
_222 _a515.35 _bASY |
245 | 0 | 0 |
_aAsymptotic methods in mechanics of solids / _cSvetlana M. Bauer ... [et al.]. |
246 | 1 |
_iTitle in Russian on title page verso: _aAsimptoticheskie metody v mekhanike tverdogo tela |
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260 |
_aCham, Switzerland : _bBirkhäuser / Springer International Publishing, _cc.2015. |
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300 |
_axxi, 325 p. : _bill. ; _c24 cm. |
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490 | 0 |
_aInternational series of numerical mathematics, _x0373-3149 ; _vvolume 167 |
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500 | _aBased on the Russian version." Asimptoticheskie metody v mekhanike tverdogo tela" | ||
500 | _aIndex : p. 323-325. | ||
504 | _aBibliography : p. 319-321. | ||
505 | 0 | _aAsymptotic 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. | |
520 | _aThe 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. -- | ||
650 | 7 |
_aMathematical physics _xAsymptotic theory. _2BUEsh _940931 |
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650 | 7 |
_aSingular perturbations (Mathematics). _2BUEsh _940932 |
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650 | 7 |
_aDifferential equations _xAsymptotic theory. _2BUEsh _936430 |
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651 | _2BUEsh | ||
653 |
_bENGELC _cAugust 2016 |
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700 | 1 |
_aBauer, Svetlana M., _940930 |
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856 |
_aSpringer Link E-books _qE-book _uhttp://link.springer.com/book/10.1007/978-3-319-18311-4 _yFull text available on campus access |
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856 |
_aSpringer Link E-books _qE-book _uhttp://41.33.243.106:2048/login?url=http://link.springer.com/book/10.1007/978-3-319-18311-4 _yFull text available off campus access |
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942 |
_2ddc _e22 _k515.35 ASY _hRDA-MOD |
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999 |
_c22254 _d22226 |
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336 |
_2rdacontent _atext _btxt |
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337 |
_aunmediated _2rdamedia _bn |
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338 |
_avolume _bnc _2rdacarrier |