Right from the introduction it is clear that Exploring ODEs has a strong pedagogical and practical aim. The authors have created an easy-to-remember word, FLASHI. Depending on which letters are capitalized (for example, FlaSHi, flAShI, and so on), the reader can quickly identify the type of problem being discussed, namely first-order, linear, autonomous, scalar, homogeneous, or initial value.

The entire book is based on an open-source MATLAB script called Chebfun (http://www.chebfun.org/), which makes working with most ordinary differential equations (ODEs) much easier and clearer.

Aside from this, the book deals with most of the ideas covered in undergraduate studies, such as the linearization of nonlinear systems to investigate fixed points, boundary value problems, chaos, eigensystems, periodicity, coupled equations, and even random differential equations (Wiener processes).

The book finishes with a summary containing short Chebfun scripts on the left-hand side and graphical results on the right, thus creating a very clever kind of graphical-computational ODE dictionary.

I strongly recommend this book for students and teachers with access to MATLAB. It also works as a refreshing review of ODEs, including techniques and some history, for researchers.