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Encyclopedia of Nonlinear Science (Anglais) Broché – 15 août 2014


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Présentation de l'éditeur

In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.

Biographie de l'auteur

Alwyn Scott is Emeritus Professor of Mathematics at the University of Arizona and a former professor of informatics and mathematical modelling at the Technical University of Denmark.


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10 internautes sur 10 ont trouvé ce commentaire utile 
Encyclopedia of Nonlinear Science, Edited by Alwyn Scott 23 mars 2005
Par Henry M. Sobell - Publié sur Amazon.com
Format: Relié
Is the tsunami that recently devastated Southeast Asia, related to the tornadoes and hurricanes that continue to ravage the Midwestern and Southeastern parts of the United States? Is the occurrence of superconductivity in metals and in certain organic polymers, related to the presence of nerve impulses that propagate within the human brain? Do avalanches in the mountains of Utah and the mudslides in California have anything to do with the folding of protein molecules into their intricate three-dimensional shapes as they are synthesized in the living cell?

At first glance, topics such as these may seem to be unrelated. However, closer examination reveals each to reflect the presence of some particular source of nonlinearity in nature. Advances in obtaining solutions to nonlinear partial differential equations over the past twenty-five years have led to the discovery of an exciting new concept. This concept predicts the emergence of coherent structures that have their own unique nonlinear dynamics. The appearance of such structures in DNA, proteins, membranes and cellular organelles could play a key role in determining life's processes.

The Encyclopedia of Nonlinear Science is a remarkable compendium of topics in many areas of science. It is the first of its kind. The book contains 438 entries by a large number of international specialists. Topics such as black holes, chaotic dynamics, turbulence, fractals, glacial flow, Jupiter's great red spot, general relativity, particles and antiparticles, information theory, Tacoma Narrows bridge collapse, gravitational waves, Hodgkin-Huxley equations, DNA premelting, protein dynamics, cardiac arrhythmias and electrocardiograms, explosions and forest fires are but a few of the entries that lie within.

The book is intended for undergraduate and graduate students in the physical and biological sciences. In addition, teachers of science and research scientists in many diverse scientific areas will find this to be a valuable reference. Professor Scott is to be applauded for the creation of this unique information source. The Encyclopedia of Nonlinear Science has found a very special place in my bookshelf.

Henry M. Sobell
Professor of Chemistry and Biophysics (retired)
The University of Rochester
Rochester, New York 14627

[...]
7 internautes sur 7 ont trouvé ce commentaire utile 
Nonlinear Science of Nonlinear Nature 1 avril 2005
Par V. Yukalov - Publié sur Amazon.com
Format: Relié
Encyclopedia of Nonlinear Science, edited by A. Scott and just published by Routledge, New York, 2005, as I think, will be one of the most important publications of this year and, probably, of many next years.

Already the first glance at the book strikes by the astonishing variety of topics covered in one volume. This is achieved by effectively combining a mathematically accurate language with the simplicity of presentation, without overloading the material by formulas. Sufficiently simple and transparent presentation makes this book easy to read for

students, starting from the undergraduate level and up, as well as for general scientists interested in grasping the essence of nonlinear phenomena. These phenomena are so common and widespread in Nature, being familiar in Physics, Mathematics, Chemistry, Geology, Medicine, and Social Sciences, that it looks impossible to find any one discipline which would have no

relation to them.

The simplicity and clarity of presentation, combined with a rather precise formulations, make the material of the Encyclopedia available to practically anyone. Those who would wish to go to more detailed studies will find a sufficient list of references to both historical publications as well as to the current scientific literature. The Editor, Alwyn Scott, has made a great job in supporting this nice and rare style combining the clarity and brevity of the entries with their accurateness.

I have no doubt that this Encyclopedia is a must for any

university library. And to enjoy having it at home would be a pleasure and help for any scientist.

V.I. Yukalov

Mercator Professor

Institut fur Theoretische Physik,

Freie Universitat Berlin,

Arnimallee 14, D-14195 Berlin, Germany
6 internautes sur 6 ont trouvé ce commentaire utile 
The book for many 31 mars 2005
Par Lev Ostrovsky - Publié sur Amazon.com
Format: Relié
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.
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