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Texts in Applied Mathematics

Ordinary Differential Equations: Basics and Beyond

Autoren: Schaeffer, David, Cain, John Wesley

  • 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
Weitere Vorteile

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eBook 51,16 €
Preis für Deutschland (Brutto)
  • ISBN 978-1-4939-6389-8
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 64,19 €
Preis für Deutschland (Brutto)
  • ISBN 978-1-4939-6387-4
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
Über dieses Lehrbuch

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).

Über den Autor

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.

Inhaltsverzeichnis (10 Kapitel)

Dieses Buch kaufen

eBook 51,16 €
Preis für Deutschland (Brutto)
  • ISBN 978-1-4939-6389-8
  • Versehen mit digitalem Wasserzeichen, DRM-frei
  • Erhältliche Formate: EPUB, PDF
  • eBooks sind auf allen Endgeräten nutzbar
  • Sofortiger eBook Download nach Kauf
Hardcover 64,19 €
Preis für Deutschland (Brutto)
  • ISBN 978-1-4939-6387-4
  • Kostenfreier Versand für Individualkunden weltweit
  • Gewöhnlich versandfertig in 3-5 Werktagen.
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Bibliografische Information

Bibliographic Information
Buchtitel
Ordinary Differential Equations: Basics and Beyond
Autoren
Titel der Buchreihe
Texts in Applied Mathematics
Buchreihen Band
65
Copyright
2016
Verlag
Springer-Verlag New York
Copyright Inhaber
Springer Science+Business Media New York
eBook ISBN
978-1-4939-6389-8
DOI
10.1007/978-1-4939-6389-8
Hardcover ISBN
978-1-4939-6387-4
Buchreihen ISSN
0939-2475
Auflage
1
Seitenzahl
XXX, 542
Anzahl der Bilder und Tabellen
78 schwarz-weiß Abbildungen, 61 Abbildungen in Farbe
Themen