Ordinary differential equations: basics and beyond / David G. Schaeffer, John W. Cain

Auteur: Schaeffer, David G. (1944-) - AuteurCo-auteur: Cain, John W. - AuteurType de document: MonographieCollection: Texts in applied mathematics ; 65Langue: anglaisPays: Etats UnisÉditeur: New York : Springer, cop. 2016Description: 1 vol. (XIII-542 p.) : ill. ; 26 cm ISBN: 9781493963874 ; rel. Note: Publisher'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).'' Bibliographie: Bibliogr. p. 529-536. Index. Sujets MSC: 34-01 Ordinary differential equations -- Instructional exposition (textbooks, tutorial papers, etc.)
34A05 Ordinary differential equations -- General theory -- Explicit solutions and reductions
34A12 Ordinary differential equations -- General theory -- Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions
34A30 Ordinary differential equations -- General theory -- Linear equations and systems, general
34A34 Ordinary differential equations -- General theory -- Nonlinear equations and systems, general
En-ligne: MSN | zbMath
Location Call Number Status Date Due
Salle R 12402-01 / 34 SCH (Browse Shelf) Available

Publisher'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).''

Bibliogr. p. 529-536. Index

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