000			03468nam a22004695i 4500
001			978-1-4419-7592-8
003			DE-He213
005			20140220083724.0
007			cr nn 008mamaa
008			101029s2011 xxu| s |||| 0|eng d
020			_a9781441975928 _9978-1-4419-7592-8
024	7		_a10.1007/978-1-4419-7592-8 _2doi
050		4	_aQA372
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.352 _223
100	1		_aLogan, J. David. _eauthor.
245	1	2	_aA First Course in Differential Equations _h[electronic resource] / _cby J. David Logan.
250			_aSecond.
264		1	_aNew York, NY : _bSpringer New York, _c2011.
300			_aXVIII, 386 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUndergraduate Texts in Mathematics, _x0172-6056
505	0		_aPreface to the Second Edition -- To the Student -- 1. Differential Equations and Models -- 2. Linear Equations and Approximations -- 3. Second-Order Differential Equations -- 4. Laplace Transforms -- 5. Systems of Differential Equations -- 6. Linear Systems -- 7. Nonlinear Systems -- Appendix A. References -- Appendix B. Computer Algebra Systems -- Appendix C. Sample Examinations -- D. Index.
520			_aThis concise and up-to-date textbook is designed for the standard sophomore course in differential equations. It treats the basic ideas, models, and solution methods in a user friendly format that is accessible to engineers, scientists, economists, and mathematics majors. It emphasizes analytical, graphical, and numerical techniques, and it provides the tools needed by students to continue to the next level in applying the methods to more advanced problems. There is a strong connection to applications with motivations in mechanics and heat transfer, circuits, biology, economics, chemical reactors, and other areas. Exceeding the first edition by over one hundred pages, this new edition has a large increase in the number of worked examples and practice exercises, and it continues to provide templates for MATLAB and Maple commands and codes that are useful in differential equations. Sample examination questions are included for students and instructors. Solutions of many of the exercises are contained in an appendix. Moreover, the text contains a new, elementary chapter on systems of differential equations, both linear and nonlinear, that introduces key ideas without matrix analysis. Two subsequent chapters treat systems in a more formal way. Briefly, the topics include: * First-order equations: separable, linear, autonomous, and bifurcation phenomena; * Second-order linear homogeneous and non-homogeneous equations; * Laplace transforms; and * Linear and nonlinear systems, and phase plane properties.
650		0	_aMathematics.
650		0	_aDifferential Equations.
650	1	4	_aMathematics.
650	2	4	_aOrdinary Differential Equations.
650	2	4	_aApplications of Mathematics.
650	2	4	_aMathematical Modeling and Industrial Mathematics.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441975911
830		0	_aUndergraduate Texts in Mathematics, _x0172-6056
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4419-7592-8
912			_aZDB-2-SMA
999			_c105808 _d105808