000			03713nam a22005055i 4500
001			978-0-387-35794-2
003			DE-He213
005			20250710083955.0
007			cr nn 008mamaa
008			100301s2006 xxu| s |||| 0|eng d
020			_a9780387357942 _a99780387357942
024	7		_a10.1007/0-387-35794-7 _2doi
082	0	4	_a515.352 _223
100	1		_aChicone, Carmen. _eauthor.
245	1	0	_aOrdinary Differential Equations with Applications _h[recurso electrónico] / _cby Carmen Chicone.
250			_a2.
264		1	_aNew York, NY : _bSpringer New York, _c2006.
300			_aXIX, 636 p. 73 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 ; _v34
505	0		_ato Ordinary Differential Equations -- Linear Systems and Stability of Nonlinear Systems -- Applications -- Hyperbolic Theory -- Continuation of Periodic Solutions -- Homoclinic Orbits, Melnikov's Method, and Chaos -- Averaging -- Local Bifurcation.
520			_aThis book developed over 20 years of the author teaching the course at his own university. It serves as a text for a graduate level course in the theory of ordinary differential equations, written from a dynamical systems point of view. It contains both theory and applications, with the applications interwoven with the theory throughout the text. The author also links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and even abstract algebra. The second edition incorporates corrections and improvements of the original text. New material includes a proof of the Grobman-Hartman theorem for flows based on the Lie derivative, more extensive treatment of the Euler-Lagrange equation and its applications, a proof of Noether's theorem on the existence of first integrals in the presence of symmetries and a new section on dynamic bifurcation with a proof of Pontryagin's formula. The impressive array of existing exercises has been more than doubled in size and further enhanced in scope, providing mathematics, physical science and engineering graduate students with a thorough introduction to the theory and application of ordinary differential equations. Reviews of the first edition: ``As an applied mathematics text on linear and nonlinear equations, the book by Chicone is written with stimulating enthusiasm. It will certainly appeal to many students and researchers.'' -- F. Verhulst, SIAM Review ``The author writes lucidly and in an engaging conversational style. His book is wide-ranging in its subject matter, thorough in its presentation, and written at a generally high level of generality, detail, and rigor.'' -- D. S. Shafer, Mathematical Reviews
650		0	_aMATHEMATICS.
650		0	_aGLOBAL ANALYSIS (MATHEMATICS).
650		0	_aDIFFERENTIABLE DYNAMICAL SYSTEMS.
650		0	_aDIFFERENTIAL EQUATIONS.
650		0	_aPHYSICS.
650		0	_aENGINEERING.
650	1	4	_aMATHEMATICS.
650	2	4	_aORDINARY DIFFERENTIAL EQUATIONS.
650	2	4	_aDYNAMICAL SYSTEMS AND ERGODIC THEORY.
650	2	4	_aCOMPLEXITY.
650	2	4	_aANALYSIS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387307695
830		0	_aTexts in Applied Mathematics, _x0939-2475 ; _v34
856	4	0	_uhttp://dx.doi.org/10.1007/0-387-35794-7 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c57463 _d57463