000			03418nam a22005175i 4500
001			978-0-387-28313-5
003			DE-He213
005			20250710083941.0
007			cr nn 008mamaa
008			100301s2005 xxu| s |||| 0|eng d
020			_a9780387283135 _a99780387283135
024	7		_a10.1007/0-387-28313-7 _2doi
082	0	4	_a515.352 _223
100	1		_aVerhulst, Ferdinand. _eauthor.
245	1	0	_aMethods and Applications of Singular Perturbations _h[recurso electrónico] : _bBoundary Layers and Multiple Timescale Dynamics / _cby Ferdinand Verhulst.
264		1	_aNew York, NY : _bSpringer New York, _c2005.
300			_aXVI, 328 p. 26 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aTexts in Applied Mathematics, _x0939-2475 ; _v50
505	0		_aBasic Material -- Approximation of Integrals -- Boundary Layer Behaviour -- Two-Point Boundary Value Problems -- Nonlinear Boundary Value Problems -- Elliptic Boundary Value Problems -- Boundary Layers in Time -- Evolution Equations with Boundary Layers -- The Continuation Method -- Averaging and Timescales -- Advanced Averaging -- Averaging for Evolution Equations -- Wave Equations on Unbounded Domains.
520			_aPerturbation theory, one of the most intriguing and essential topics in mathematics, and its applications to the natural and engineering sciences is the main focus of this workbook. In a systematic introductory manner, this unique book deliniates boundary layer theory for ordinary and partial differential equations, multi-timescale phenomena for nonlinear oscillations, diffusion and nonlinear wave equations. The book provides analysis of simple examples in the context of the general theory, as well as a final discussion of the more advanced problems. Precise estimates and excursions into the theoretical background makes this workbook valuable to both the applied sciences and mathematics fields. As a bonus in its last chapter the book includes a collection of rare and useful pieces of literature, such as the summary of the Perturbation theory of Matrices. Detailed illustrations, stimulating examples and exercises as well as a clear explanation of the underlying theory makes this workbook ideal for senior undergraduate and beginning graduate students in applied mathematics as well as science and engineering fields.
650		0	_aMATHEMATICS.
650		0	_aDIFFERENTIABLE DYNAMICAL SYSTEMS.
650		0	_aDIFFERENTIAL EQUATIONS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650		0	_aNUMERICAL ANALYSIS.
650		0	_aMATHEMATICAL PHYSICS.
650	1	4	_aMATHEMATICS.
650	2	4	_aORDINARY DIFFERENTIAL EQUATIONS.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
650	2	4	_aMATHEMATICAL METHODS IN PHYSICS.
650	2	4	_aDYNAMICAL SYSTEMS AND ERGODIC THEORY.
650	2	4	_aNUMERICAL ANALYSIS.
650	2	4	_aAPPLICATIONS OF MATHEMATICS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387229669
830		0	_aTexts in Applied Mathematics, _x0939-2475 ; _v50
856	4	0	_uhttp://dx.doi.org/10.1007/0-387-28313-7 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c56805 _d56805