000			03700nam a22004695i 4500
001			u371267
003			SIRSI
005			20160812080119.0
007			cr nn 008mamaa
008			100301s2010 xxu| s |||| 0|eng d
020			_a9781441911636 _9978-1-4419-1163-6
040			_cMX-MeUAM
050		4	_aQA372
082	0	4	_a515.352 _223
100	1		_aBetounes, David. _eauthor.
245	1	0	_aDifferential Equations: Theory and Applications _h[recurso electrónico] / _cby David Betounes.
264		1	_aNew York, NY : _bSpringer New York, _c2010.
300			_aXIII, 620p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aTechniques, Concepts and Examples -- Existence and Uniqueness: The Flow Map -- Linear Systems -- Linearization & Transformation -- Stability Theory -- Integrable Systems -- Newtonian Mechanics -- Hamiltonian Systems -- Elementary Analysis -- Lipschitz Maps and Linearization -- Linear Algebra -- Electronic Contents.
520			_aThe book provides a comprehensive introduction to the theory of ordinary differential equations at the graduate level and includes applications to Newtonian and Hamiltonian mechanics. It not only has a large number of examples and computer graphics, but also has a complete collection of proofs for the major theorems, ranging from the usual existence and uniqueness results to the Hartman-Grobman linearization theorem and the Jordan canonical form theorem. The book can be used almost exclusively in the traditional way for graduate math courses, or it can be used in an applied way for interdisciplinary courses involving physics, engineering, and other science majors. For this reason an extensive computer component using Maple is provided on Springer’s website. This new edition has been extensively revised throughout, particularly the chapters on linear systems, stability theory and Hamiltonian systems. The computer component is an in-depth supplement and complement to the material in the text and contains an introduction to discrete dynamical systems and iterated maps, special-purpose Maple code for animating phase portraits, stair diagrams, N-body motions, and rigid-body motions, and numerous tutorial Maple worksheets pertaining to all aspects of using Maple to study the topics in the text. Review from first edition: "This book is intended for first- and second- year graduate students in mathematics and also organized to be used for interdisciplinary courses in applied mathematics, physics, and engineering. ... The book is well written and provides many interesting examples. The author gives a comprehensive introduction to the theory on ordinary differential equations with a focus on mechanics and dynamical systems. The exposition is clear and easily understood...." (Yuan Rong, Zentralblatt MATH, Vol. 993 (18), 2002)
650		0	_aMathematics.
650		0	_aDifferentiable dynamical systems.
650		0	_aDifferential Equations.
650		0	_aNumerical analysis.
650		0	_aMathematical physics.
650	1	4	_aMathematics.
650	2	4	_aOrdinary Differential Equations.
650	2	4	_aNumerical Analysis.
650	2	4	_aDynamical Systems and Ergodic Theory.
650	2	4	_aMathematical Methods in Physics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441911629
856	4	0	_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-1163-6
596			_a19
942			_cLIBRO_ELEC
999			_c199147 _d199147