Ebook: Ordinary Differential Equations: Principles and Applications

Many interesting and important real life problems are modeled using
ordinary differential equations (ODE). These include, but are not limited
to, physics, chemistry, biology, engineering, economics, sociology,
psychology etc. In mathematics, ODE have a deep connection with
geometry, among other branches. In many of these situations, we are
interested in understanding the future, given the present phenomenon. In
other words, we wish to understand the time evolution or the dynamics of
a given phenomenon. The subject field of ODE has developed, over the
years, to answer adequately such questions. Yet, there are many
important intriguing situations, where complete answers are still awaited.
The present book aims at giving a good foundation for a beginner,
starting at an undergraduate level, without compromising on the rigour.