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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.352
書名/作者:	Ordinary differential equations : basics and beyond // by David G. Schaeffer, John W. Cain.
作者:	Schaeffer, David G.
其他作者:	Cain, John W.
出版者:	New York, NY : : Springer New York :, 2016.
面頁冊數:	xxx, 542 p. : : ill. (some col.), digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Differential equations.
標題:	Mathematics.
標題:	Ordinary Differential Equations.
標題:	Theoretical, Mathematical and Computational Physics.
標題:	Dynamical Systems and Ergodic Theory.
ISBN:	9781493963898
ISBN:	9781493963874
內容註:	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.
摘要、提要註:	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)
電子資源:	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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