000			03197cam a22004095a 4500
001			18586283
005			20160828125307.0
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
041	1		_aeng _hrus
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
260			_aCham, Switzerland : _bBirkhäuser / Springer International Publishing, _cc.2015.
300			_axxi, 325 p. : _bill. ; _c24 cm.
490	0		_aInternational series of numerical mathematics, _x0373-3149 ; _vvolume 167
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
650		7	_aSingular perturbations (Mathematics). _2BUEsh _940932
650		7	_aDifferential equations _xAsymptotic theory. _2BUEsh _936430
651			_2BUEsh
653			_bENGELC _cAugust 2016
700	1		_aBauer, Svetlana M., _940930
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
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
942			_2ddc _e22 _k515.35 ASY
999			_c22254 _d22226