000			03304nam a22004695i 4500
001			978-1-4419-5783-2
003			DE-He213
005			20140220084508.0
007			cr nn 008mamaa
008			100427s2010 xxu| s |||| 0|eng d
020			_a9781441957832 _9978-1-4419-5783-2
024	7		_a10.1007/978-1-4419-5783-2 _2doi
050		4	_aQA372
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.352 _223
100	1		_aKelley, Walter G. _eauthor.
245	1	4	_aThe Theory of Differential Equations _h[electronic resource] : _bClassical and Qualitative / _cby Walter G. Kelley, Allan C. Peterson.
264		1	_aNew York, NY : _bSpringer New York, _c2010.
300			_aXI, 423p. 136 illus., 68 illus. in color. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUniversitext ; _v0
505	0		_aFirst-Order Differential Equations -- Linear Systems -- Autonomous Systems -- Perturbation Methods -- The Self-Adjoint Second-Order Differential Equation -- Linear Differential Equations of Order n -- BVPs for Nonlinear Second-Order DEs -- Existence and Uniqueness Theorems.
520			_aFor over 300 years, differential equations have served as an essential tool for describing and analyzing problems in many scientific disciplines. This carefully-written textbook provides an introduction to many of the important topics associated with ordinary differential equations. Unlike most textbooks on the subject, this text includes nonstandard topics such as a chapter on perturbation methods and a section in Chapter 3 that shows how to solve differential equations using Mathematica codes. In addition to the nonstandard topics, this text also contains contemporary material in the area as well as its classical topics. This second edition is updated to be compatible with Mathematica, version 7.0, and all Mathematica codes are in the book itself. This new edition also provides 81 additional exercises, a new section in Chapter 1 on the generalized logistic equation, an additional theorem in Chapter 2 concerning fundamental matrices, and many further enhancements to the first edition. This book can be used either for a second course in ordinary differential equations or as an introductory course for well-prepared students. The prerequisites for this book are three semesters of calculus and a course in linear algebra, although the needed concepts from linear algebra are introduced along with examples in the book. An undergraduate course in analysis is needed for the more theoretical subjects covered in the final two chapters.
650		0	_aMathematics.
650		0	_aDifferentiable dynamical systems.
650		0	_aDifferential Equations.
650	1	4	_aMathematics.
650	2	4	_aOrdinary Differential Equations.
650	2	4	_aDynamical Systems and Ergodic Theory.
700	1		_aPeterson, Allan C. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441957825
830		0	_aUniversitext ; _v0
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4419-5783-2
912			_aZDB-2-SMA
999			_c110525 _d110525