This book offers readers a primer on the theory and applications of
Ordinary Differential Equations. The style used is simple, yet thorough
and rigorous. Each chapter ends with a broad set of exercises that range
from the routine to the more challenging and thought-provoking.
Solutions to selected exercises can be found at the end of the book. The
book contains many interesting examples on topics such as electric
circuits, the pendulum equation, the logistic equation, the
Lotka-Volterra system, the Laplace Transform, etc., which introduce
students to a number of interesting aspects of the theory and
applications. The work is mainly intended for students of Mathematics,
Physics, Engineering, Computer Science and other areas of the natural
and social sciences that use ordinary differential equations, and who
have a firm grasp of Calculus and a minimal understanding of the basic
concepts used in Linear Algebra. It also studies a few more advanced
topics, such as Stability Theory and Boundary Value Problems, which may
be suitable for more advanced undergraduate or first-year graduate
students. The second edition has been revised to correct minor errata,
and features a number of carefully selected new exercises, together with
more detailed explanations of some of the topics.
A complete Solutions Manual, containing solutions to all the exercises
published in the book, is available. Instructors who wish to adopt the
book may request the manual by writing directly to one of the authors.
