000			02974nam a22003497i 4500
003			URS
005			20220117094655.0
008			181206b ||||| |||| 00| 0 eng d
020			_a9781493963874 (alk. paper)
040			_beng _erda _cURS
050	0	0	_aQA 371 _bSch136 2016
100	1		_aSchaeffer, David G., _eauthor.
245	1	0	_aOrdinary differential equations : _bbasics and beyond / _cDavid G. Schaeffer, John W. Cain.
264		1	_aNew York : _bSpringer, _c[2016]
264		4	_c©2016
300			_axxx, 542 pages : _billustrations ; _c26 cm.
336			_atext _btxt _2rdacontent
337			_aunmediated _bn _2rdamedia
338			_avolume _bnc _2rdacarrier
490	1		_aTexts in applied mathematics, _x0939-2475 ; _vv. 65
500			_aIncludes references and index.
504			_aIncludes bibliographical references and index.
505	0		_aIntroduction -- Linear Systems with Constant Coefficients -- Nonlinear Systems: Local Theory -- Nonlinear Systems: Global Theory -- Nondimensionalization and Scaling -- Trajectories Near Equilibria -- Oscillations in ODEs -- Bifurcation from Equilibria -- Examples of Global Bifurcation -- Epilogue -- Appendices.
520			_aThis book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos). While proofs are rigorous, the exposition is reader-friendly, aiming for the informality of face-to-face interactions. A unique feature of this book is the integration of rigorous theory with numerous applications of scientific interest. Besides providing motivation, this synthesis clarifies the theory and enhances scientific literacy. Other features include: (i) a wealth of exercises at various levels, along with commentary that explains why they matter; (ii) figures with consistent color conventions to identify nullclines, periodic orbits, stable and unstable manifolds; and (iii) a dedicated website with software templates, problem solutions, and other resources supporting the text. Given its many applications, the book may be used comfortably in science and engineering courses as well as in mathematics courses. Its level is accessible to upper-level undergraduates but still appropriate for graduate students. The thoughtful presentation, which anticipates many confusions of beginning students, makes the book suitable for a teaching environment that emphasizes self-directed, active learning (including the so-called inverted classroom).-- _cSource other than Library of Congress.
650		0	_aDifferential equations.
650		7	_aDifferential equations. _2fast _0(OCoLC)fst00893446
700	1		_aCain, John W. _c(Mathematician), _eauthor.
830		0	_aTexts in applied mathematics ; _vv. 65.
856			_31850-9999 _uhttp://link.springer.com/
942			_2lcc _cFR
999			_c11630 _d11630