... a classic treatment of many of the topics an instructor would want in such a course, with particular emphasis on those aspects of the qualitative theory that are important for applications to mathematical biology. ... A nice feature of this edition is an extended and unified treatment of the perturbation problem for periodic solutions. ... a solid graduate-level introduction to ordinary differential equations, especially for applications. ... -MAA Reviews, August 2010

• Prefaces. Introduction. Existence Theorems. Linear Systems. Autonomous Systems. Stability. The Lyapunov Second Method. Periodic Solutions. Perturbation Theory: The Poincare Method. Perturbation Theory: Autonomous Systems and Bifurcation Problems. Using the Averaging Method: An Introduction. Appendix. References. Index.