000			02912nam a22004815i 4500
001			978-1-4614-8893-4
003			DE-He213
005			20140220082503.0
007			cr nn 008mamaa
008			131022s2014 xxu| s |||| 0|eng d
020			_a9781461488934 _9978-1-4614-8893-4
024	7		_a10.1007/978-1-4614-8893-4 _2doi
050		4	_aQA299.6-433
072		7	_aPBK _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515 _223
100	1		_aAmster, Pablo. _eauthor.
245	1	0	_aTopological Methods in the Study of Boundary Value Problems _h[electronic resource] / _cby Pablo Amster.
264		1	_aBoston, MA : _bSpringer US : _bImprint: Springer, _c2014.
300			_aXVI, 226 p. 18 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUniversitext, _x0172-5939
505	0		_aIntroduction -- Shooting type methods -- The Banach Fixed Point Theorem.- Schauder’s Theorem and applications.- Topological degree: an introduction -- Applications.- Basic facts on metric and normed spaces -- Brief review of ODE’s.- Hints and Solutions to Selected Exercises.
520			_aThis textbook is devoted to the study of some simple but representative nonlinear boundary value problems by topological methods. The approach is elementary, with only a few model ordinary differential equations and applications, chosen in such a way that the student may avoid most of the technical difficulties and focus on the application of topological methods. Only basic knowledge of general analysis is needed, making the book understandable to non-specialists. The main topics in the study of boundary value problems are present in this text, so readers with some experience in functional analysis or differential equations may also find some elements that complement and enrich their tools for solving nonlinear problems. In comparison with other texts in the field, this one has the advantage of a concise and informal style, thus allowing graduate and undergraduate students to enjoy some of the beauties of this interesting branch of mathematics. Exercises and examples are included throughout the book, providing motivation for the reader.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aDifferential Equations.
650		0	_aDifferential equations, partial.
650	1	4	_aMathematics.
650	2	4	_aAnalysis.
650	2	4	_aOrdinary Differential Equations.
650	2	4	_aPartial Differential Equations.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461488927
830		0	_aUniversitext, _x0172-5939
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-8893-4
912			_aZDB-2-SMA
999			_c92272 _d92272