`UK Nonlinear News`,
`November 1999`

Springer-Verlag Berlin Heidelberg (1998)

When reading this book I realised that, despite its many precedents, it fills a gap. I don't know any other text that offers a comparably hand-picked selection of material on chaos, being at the same time accessible to an engineering student and mathematically precise.

The rather slim volume (150 pages) is aimed at, say, a graduate student in
engineering. It can thus assume a higher command of mathematical techniques
than, for example, *Understanding Nonlinear Dynamics* by Kaplan and
Glass (Springer-Verlag 1995) which is primarily written with students in the
biological sciences in mind. On the other hand, other texts at a comparable
mathematical level are invariably more voluminous, either because they serve
the double purpose of an introduction and a reference text, or because they add
extensive case studies of applications, often in a more qualitative style.

You will learn the basics of dynamicals systems (continuous and discrete),
attractors, invariants, bifurcations, fractals, intermittency. Finally there
are a few real examples and a chapter on chaos control. The theoretical
sections are augmented by instructive exercises. Of course, Kapitaniak's book
does not claim to present *all* of chaos theory. Nor will you find a
host of "success stories" told to convince you that this is an important
subject. But everything that is covered is crystal clear, readily
understandable and highly dependable concerning the factual content. The
language is straight - you are told all you need to know without being drowned
in words. Mathematical language is used very efficiently. Notation is not
introduced for its own sake but to accompany the analytic argument and to
enable a high degree of preciseness.

After reading about the new ideas in nonlinear dynamics presented here, the engineer will find that there is still a long way to go before she or he can apply these ideas to real world problems - few engineers are getting paid for controlling Chua's circuit. Nevertheless, the reader will appreciate the appeal of recent nonlinear dynamics. They will find Chaos to be not just one more fashionable gimmick but rather something that is interesting, understandable, and potentially very useful.

*CHAOS for Engineers* is a highly recommendable book. It offers one of
the most efficient entry points to chaos theory I know of, given a
mathematical background typical for engineering and science students.

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