Nandakumaran A.K., Datti P.S., George R.K. Ordinary Differential Equations: Principles and Applications

Cambridge: Cambridge University Press, 2017. — 349 p.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.