Ordinary Differential Equations: Basics and Beyond

Szerző: David G. Schaeffer, John W. Cain

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer-Verlag New York Inc.

Elérhetőség: Beszállítói készleten

Küldés 10-18 napon belül

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

Információk a könyvről

Szerző

David G. Schaeffer, John W. Cain

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2018

oldal

542

EAN

9781493981847

Enbook ID

20091861

Kiadó

Springer-Verlag New York Inc.

Súly

1084

Méretek

178 x 254 x 256

Teljes leírás

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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