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The book like that was long awaited, and the only reason it has not appeared, say, ten years ago, is probably that compiling it would be an enormously demanding task for anyone. Thus, the effort of the Editor, Professor Alwyn Scott, should be highly appreciated.
The Encyclopedia of Nonlinear Science includes an enormous wealth of information in various sciences: mathematics, physics, chemistry, biology, earth sciences, engineering... At the first glance, the book may be perceived as a kaleidoscope of bits and pieces of these sciences. Thus, one may ask, what nonlinear science is and does it exist at all? It does. The basis unifying the problems outlined in the book is that, notwithstanding the huge variety of the phenomena involved, their mathematical description has much in common (nonlinear equations) and, moreover, the terminology ("language") used to characterize qualitative features of the process, such as "oscillations," "waves," "solitons," "chaos," and many others, are equally applicable to numerous natural phenomena as well as to products of human creativity.
Having said that I must also stress that most of the underlying math is simple enough for non-specialists. Actually, the book entries could conditionally be classified into "mathematical," in which basic equations and their solutions are briefly discussed, and "natural," giving a concise description of a variety of natural phenomena. Finally, historical essays should be mentioned, too.
This reference book has been edited and written by high-class professionals. If you are a student, a teacher or instructor in math, physics, chemistry, so on, or you are a researcher, an engineer, or simply a curious individual who wants to help his youngsters to succeed in science, you should consider getting the Encyclopedia.