Ordinary Differential Equations: Basics and Beyond

Nonfiction, Science & Nature, Mathematics, Differential Equations, Science, Physics, Mathematical Physics
Cover of the book Ordinary Differential Equations: Basics and Beyond by David G. Schaeffer, John W. Cain, Springer New York
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: David G. Schaeffer, John W. Cain ISBN: 9781493963898
Publisher: Springer New York Publication: November 10, 2016
Imprint: Springer Language: English
Author: David G. Schaeffer, John W. Cain
ISBN: 9781493963898
Publisher: Springer New York
Publication: November 10, 2016
Imprint: Springer
Language: English

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).

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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).

More books from Springer New York

Cover of the book Handbook of Mindfulness in Education by David G. Schaeffer, John W. Cain
Cover of the book Government e-Strategic Planning and Management by David G. Schaeffer, John W. Cain
Cover of the book Biosonar by David G. Schaeffer, John W. Cain
Cover of the book Plants and BioEnergy by David G. Schaeffer, John W. Cain
Cover of the book Data Acquisition Systems by David G. Schaeffer, John W. Cain
Cover of the book Balancing the Budget is a Progressive Priority by David G. Schaeffer, John W. Cain
Cover of the book Changing Conceptions of Conspiracy by David G. Schaeffer, John W. Cain
Cover of the book ADHD as a Model of Brain-Behavior Relationships by David G. Schaeffer, John W. Cain
Cover of the book Advances in Yersinia Research by David G. Schaeffer, John W. Cain
Cover of the book Residue Reviews / Rückstands-Berichte by David G. Schaeffer, John W. Cain
Cover of the book Biobetters by David G. Schaeffer, John W. Cain
Cover of the book School Consultation by David G. Schaeffer, John W. Cain
Cover of the book Perinatal Stem Cells by David G. Schaeffer, John W. Cain
Cover of the book Obesity and Breast Cancer by David G. Schaeffer, John W. Cain
Cover of the book Jost Bürgi's Aritmetische und Geometrische Progreß Tabulen (1620) by David G. Schaeffer, John W. Cain
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy