Ordinary Differential Equations: From Calculus to Dynamical Systems
- ISBN-10
- 1939512042
- ISBN-13
- 9781939512048
- Series
- Ordinary Differential Equations
- Category
- Mathematics
- Pages
- 326
- Language
- English
- Published
- 2015-08-20
- Publisher
- Mathematical Association of America
- Author
- Virginia W. Noonburg
Description
Techniques for studying ordinary differential equations (ODEs) have become part of the required toolkit for students in the applied sciences. This book presents a modern treatment of the material found in a first undergraduate course in ODEs. Standard analytical methods for first- and second-order equations are covered first, followed by numerical and graphical methods, and bifurcation theory. Higher dimensional theory follows next via a study of linear systems of first-order equations, including background material in matrix algebra. A phase plane analysis of two-dimensional nonlinear systems is a highlight, while an introduction to dynamical systems and an extension of bifurcation theory to cover systems of equations will be of particular interest to biologists. With an emphasis on real-world problems, this book is an ideal basis for an undergraduate course in engineering and applied sciences such as biology, or as a refresher for beginning graduate students in these areas.
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Other editions
-
- 2019-12-06
- 928 pages
- Ebook
- CRC Press
-
- 2019-12-06
- 892 pages
- Ebook
- CRC Press
-
- 2018-12-07
- 864 pages
- Paperback
- CRC Press
-
- 2018-01-22
- 234 pages
- Ebook
- Walter de Gruyter GmbH & Co KG
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