Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines an

This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first pa

For lecture courses that cover the classical theory of nonlinear differential equations associated with Poincare and Lyapunov and introduce the student to the i

Differential equations are the basis for models of any physical systems that exhibit smooth change. This book combines much of the material found in a tradition

This book is a mathematically rigorous introduction to the beautiful subject of ordinary differential equations for beginning graduate or advanced undergraduate