Ordinary Differential Equations: Basics and Beyond

Autor: David G. Schaeffer, John W. Cain

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Editura: Springer-Verlag New York Inc.

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This book develops the theory of ordinary differential equations (ODEs), starting from an introducto...

Informații despre carte

Autor

David G. Schaeffer, John W. Cain

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2018

Pagini

542

EAN

9781493981847

Enbook ID

20091861

Editura

Springer-Verlag New York Inc.

Greutate

1084

Dimensiuni

178 x 254 x 256

Descriere completă

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 (www.math.duke.edu/ode-book). 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).

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Ordinary Differential Equations: Basics and Beyond

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