Ordinary Differential Equations: Basics and Beyond David G. Schaeffer and John W. Cain is an English-language textbook on differential equations. It is aimed at a broad audience in science and engineering and covers the theory of ordinary differential equations from introductory level to advanced qualitative analysis, including bifurcation theory.
This book combines a rigorous yet accessible approach with numerous scientific applications. Features include:
- extensive practice problems with explanations,
- clear figures with consistent color coding for nullclines, periodic orbits, and stable and unstable manifolds,
- support via a companion website with software and solution examples.
The presentation is intended for self-directed learning and is explicitly usable in both mathematical and technical programs at the higher education level. The content connects with fields such as mathematical physics, nonlinear systems, and computational science.
Series: Texts in Applied Mathematics