Description
Ordinary Differential Equations: Basics and Beyond, Softcover reprint of the original 1st ed. 2016
Texts in Applied Mathematics Series, Vol. 65
Authors: Schaeffer David G., Cain John W.
Language: English47.46 €
In Print (Delivery period: 15 days).
Add to cart the print on demand of Schaeffer David G., Cain John W.
Ordinary Differential Equations: Basics and Beyond
Publication date: 11-2016
Support: Print on demand
Publication date: 11-2016
Support: Print on demand
31.64 €
In Print (Delivery period: 15 days).
Add to cart the print on demand of Schaeffer David G., Cain John W.
Ordinary Differential Equations: Basics and Beyond
Publication date: 06-2018
Support: Print on demand
Publication date: 06-2018
Support: Print on demand
Description
/li>Contents
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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.
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).
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.
David G. Schaeffer is Professor of Mathematics at Duke University. His research interests include partial differential equations and granular flow.
John W. Cain is Professor of Mathematics at Harvard University. His background is in application-oriented mathematics with interest in applications to medicine, biology, and biochemistry.
Includes ample commentary on exercises to help explain their significance and provide a deeper understanding of content
Detailed appendices gives readers self-study opportunities
Supports practical uses of subject matter and broader scientific awareness
Includes supplementary material: sn.pub/extras
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