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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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