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.
Produkteigenschaften
- Artikelnummer: 9781939512048
- Medium: Buch
- ISBN: 978-1-939512-04-8
- Verlag: Mathematical Association of America (MAA)
- Erscheinungstermin: 20.08.2015
- Sprache(n): Englisch
- Auflage: Erscheinungsjahr 2015
- Serie: Mathematical Association of America Textbooks
- Produktform: Gebunden
- Gewicht: 735 g
- Seiten: 326
- Format (B x H x T): 182 x 261 x 25 mm
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Ausgabetyp: Kein, Unbekannt