LDR 02974 a2200337 4500 010 _a9781493963874 _brel. 090 _a16205 101 _aeng 102 _aUS 100 _a20170614 frey50 200 _bM _aOrdinary differential equations _fDavid G. Schaeffer, John W. Cain _ebasics and beyond 210 _cSpringer _aNew York _dcop. 2016 215 _a1 vol. (XIII-542 p.) _cill. _d26 225 _9169042 _aTexts in applied mathematics _v65 _x0939-2475 300 _aPublisher's description: "This 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 and (ii) a dedicated website with software templates, problem solutions, and other resources supporting the text and (iii) a large number and variety of illustrations. Given its many applications, the book is suitable for senior undergraduates and graduate students in mathematics and science and engineering courses. 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).'' 320 _aBibliogr. p. 529-536. Index 410 _9169040 _aSpringer _tTexts in applied mathematics _x0939-2475 _y0939-2475 676 _a2010 686 _20 _9163324 _a34-01 _bOrdinary differential equations _xInstructional exposition (textbooks, tutorial papers, etc.) 686 _20 _9163330 _a34A05 _bOrdinary differential equations -- General theory _xExplicit solutions and reductions 686 _20 _9163334 _a34A12 _bOrdinary differential equations -- General theory _xInitial value problems, existence, uniqueness, continuous dependence and continuation of solutions 686 _20 _9163337 _a34A30 _bOrdinary differential equations -- General theory _xLinear equations and systems, general 686 _20 _9163339 _a34A34 _bOrdinary differential equations -- General theory _xNonlinear equations and systems, general 700 _4070 _9176811 _aSchaeffer _bDavid G. _f1944- 701 _4070 _aCain _bJohn W. _9183091 856 _uhttp://www.ams.org/mathscinet-getitem?mr=3561103 _zMSN 856 _uhttps://zbmath.org/?q=an:06596903 _zzbMath 905 _aaw _b2017 906 _aaw _b2017-07-03 001 16205 995 _f12402-01 _eSalle R _o0 _cCMI _k34 SCH _z46.62 _xachat Ebsco _918500 _bCMI _20