Ordinary Differential Equations: Basics and Beyond

This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the qualitative theory, including bifurcation theory (but not chaos).  While proofs are rigorous, the exposition is reader-friendly, aiming for the informality of face-to-face interactions.  A unique feature of this book is the integration of rigorous theory with numerous applications of scientif