000			03052nam a22004575i 4500
001			978-0-387-29930-3
003			DE-He213
005			20250710083945.0
007			cr nn 008mamaa
008			100301s2006 xxu| s |||| 0|eng d
020			_a9780387299303 _a99780387299303
024	7		_a10.1007/0-387-29930-0 _2doi
082	0	4	_a515.352 _223
100	1		_aDavid Logan, J. _eauthor.
245	1	2	_aA First Course in Differential Equations _h[recurso electrónico] / _cby J. David Logan.
264		1	_aNew York, NY : _bSpringer New York, _c2006.
300			_aXV, 290 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUndergraduate Texts in Mathematics, _x0172-6056
505	0		_aPreface -- Differential Equations and Models -- Analytic Solutions and Approximations.-Second-Order Differential Equations -- Laplace Transforms -- Linear Systems -- Nonlinear Systems -- Appendix A: References -- Appendix B: A Brief on MATLAB -- Appendix C: Maple Commands -- Appendix D: Sample Examinations -- Appendix E: Solutions to Selected Exercises.
520			_aThis text is designed for the standard post-calculus course in elementary differential equations. It is a brief, one-semester treatment of the basic ideas, models, and solution methods. The book, which serves as an alternative to existing texts for instructors who want more concise coverage, emphasizes graphical, analytical, and numerical approaches, and is written with clear language in a user-friendly format. It provides students with the tools to continue on to the next level in applying differential equations to problems in engineering, science, and applied mathematics. The topics include: * separable and linear first-order equations; * autonomous equations; * second order linear homogeneous and nonhomogeneous equations; * Laplace transforms; * linear and nonlinear systems in the phase plane. Many exercises are provided, in addition to examples from engineering, ecology, physics, economics, and other areas. An expanded section on the required linear algebra is presented, and an appendix contains templates of Maple and MATLAB commands and programs which are useful in differential equations.
650		0	_aMATHEMATICS.
650		0	_aMATRIX THEORY.
650		0	_aDIFFERENTIAL EQUATIONS.
650		0	_aDIFFERENTIAL EQUATIONS, PARTIAL.
650	1	4	_aMATHEMATICS.
650	2	4	_aORDINARY DIFFERENTIAL EQUATIONS.
650	2	4	_aLINEAR AND MULTILINEAR ALGEBRAS, MATRIX THEORY.
650	2	4	_aPARTIAL DIFFERENTIAL EQUATIONS.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387259635
830		0	_aUndergraduate Texts in Mathematics, _x0172-6056
856	4	0	_uhttp://dx.doi.org/10.1007/0-387-29930-0 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c57003 _d57003