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Ordinary differential equations[electronic resource] :basics and beyond /

Record Type:	Language materials, printed : Monograph/item
[NT 15000414]:	515.352
Title/Author:	Ordinary differential equations : basics and beyond // by David G. Schaeffer, John W. Cain.
Author:	Schaeffer, David G.
other author:	Cain, John W.
Published:	New York, NY : : Springer New York :, 2016.
Description:	xxx, 542 p. : : ill. (some col.), digital ;; 24 cm.
Contained By:	Springer eBooks
Subject:	Differential equations.
Subject:	Mathematics.
Subject:	Ordinary Differential Equations.
Subject:	Theoretical, Mathematical and Computational Physics.
Subject:	Dynamical Systems and Ergodic Theory.
ISBN:	9781493963898
ISBN:	9781493963874
[NT 15000228]:	Introduction -- 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.
[NT 15000229]:	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; (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)
Online resource:	http://dx.doi.org/10.1007/978-1-4939-6389-8

Ordinary differential equations[electronic resource] :basics and beyond /
Schaeffer, David G.

Ordinary differential equationsbasics and beyond /[electronic resource] :by David G. Schaeffer, John W. Cain. - New York, NY :Springer New York :2016. - xxx, 542 p. :ill. (some col.), digital ;24 cm. - Texts in applied mathematics,v.650939-2475 ;. - Texts in applied mathematics ;40..

Introduction -- 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.

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; (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)

ISBN: 9781493963898

Standard No.: 10.1007/978-1-4939-6389-8doiSubjects--Topical Terms:

189741
Differential equations.

LC Class. No.: QA371

Dewey Class. No.: 515.352

Ordinary differential equations[electronic resource] :basics and beyond /
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100 1 $a Schaeffer, David G. $3 687629
245 1 0 $a Ordinary differential equations $h [electronic resource] : $b basics and beyond / $c by David G. Schaeffer, John W. Cain.
260 $a New York, NY : $b Springer New York : $b Imprint: Springer, $c 2016.
300 $a xxx, 542 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Texts in applied mathematics, $x 0939-2475 ; $v v.65
505 0 $a Introduction -- 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 $a 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; (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)
650 0 $a Differential equations. $3 189741
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Ordinary Differential Equations. $3 465742
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 464132
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 464934
700 1 $a Cain, John W. $3 687630
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Texts in applied mathematics ; $v 40. $3 465731
856 4 0 $u http://dx.doi.org/10.1007/978-1-4939-6389-8
950 $a Mathematics and Statistics (Springer-11649)

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