LDR 02974    a2200337   4500
010    _a9781493963874
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.)
225    _9169042
       _aTexts in applied mathematics
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
       _tTexts in applied mathematics
676    _a2010
686    _20
       _bOrdinary differential equations
       _xInstructional exposition (textbooks, tutorial papers, etc.)
686    _20
       _bOrdinary differential equations -- General theory
       _xExplicit solutions and reductions
686    _20
       _bOrdinary differential equations -- General theory
       _xInitial value problems, existence, uniqueness, continuous dependence and continuation of solutions
686    _20
       _bOrdinary differential equations -- General theory
       _xLinear equations and systems, general
686    _20
       _bOrdinary differential equations -- General theory
       _xNonlinear equations and systems, general
700    _4070
       _bDavid G.
701    _4070
       _bJohn W.
856    _uhttp://www.ams.org/mathscinet-getitem?mr=3561103
856    _uhttps://zbmath.org/?q=an:06596903
905    _aaw
906    _aaw
001     16205
995    _f12402-01
       _eSalle R
       _k34 SCH
       _xachat Ebsco
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