Written as a first course in the application of differential and difference equations in the modelling of phyisical systems, this book could not be more satisfactory to someone starting on the course of applied mathematics. Physical situations are described with great clarity and the formulation of the modeling equations is outlined in a systematic, complete, and, again, clear way. The text moves progressively from basic models in mechanics which can be modeled with the simplest approaches to antidifferentiation and some linear algebra, to difference equations and their manipulation and then to more complete treatmetn of ODEs in physics and mechanics, and finally to coupled systems of ODEs and their analysis using phase-plane methods.
All this is explained in such a systematic, step-by-step, way that the entire subject seems to have coherent logical structure. I am sad to say that was not the case 45 years ago when I took Differential Equations from a mathematics professor who simply treated it as a bag of tricks to play the game of solving equations. I would in fact be a better engineer now if I had been taught out of this text, which is why I so highly recommend it. It is also suitable for self study as the problems build logically on the very clearly (that word again) worked out examples.
If you know a student beginning engineering study, do buy them this book. If you are past all that, buy it anyway since the examples used are really kind of fun - at least for engineers and the like. One other point to mention is the near complete absence of annoying typographical errors that can be aggravating when encountered. In other words, this is well edited as well as well written.
The real world can be modelled using mathematics, and the construction of such models is the theme of this book. The authors concentrate on the techniques used to set up mathematical models and describe many systems in full detail, covering both differential and difference equations in depth. Amongst the broad spectrum of topics studied in this book are: mechanics, genetics, thermal physics, economics and population studies. Any student wishing to solve problems via mathematical modelling will find that this book provides an excellent introduction to the subject.