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Encyclopedia of Nonlinear ScienceFrom Routledge
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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.
- Sales Rank: #4185805 in Books
- Published on: 2015-08-09
- Original language: English
- Number of items: 1
- Dimensions: 10.80" h x 2.30" w x 8.10" l, .0 pounds
- Binding: Paperback
- 1096 pages
Review
"Scott's encyclopedia provides an overview of the mathematical background, as well as applications to key problems ranging from economics to engineering. The impressive roster of contributors offers more than 400 well-written, concise, well-illustrated articles that include excellent bibliographies. Related references and an excellent index add breadth and depth to the encyclopedia's usefulness. The price is justified considering the breadth and depth of coverage... Highly recommended."
-"Choice, May, 2005
"This reference will help undergraduate and graduate students in the physical and biological sciences appreciate how concepts of nonlinear science are presently understood and applied. Teachers of science and research scientists who are unfamiliar with nonlinear concepts will use this book to expand their horizons."
-"SciTech Book News, June, 2005
"This book conveys the fascinating array of phyical phenomena that can be analyzed by nonlinear methods... This useful and interesting reference work is well done... It is recommended for university libraries serving science majors and graduate students."
-"Reference & User Services Quarterly, Fall 2005
"A truly international effort... Those consulting this work for background information on a particular topic will find themselves led in unexpected directions to unanticipated bit of knowledge... This "Encyclopedia will be of interest to practicing scientists who wish to learn more about the nonlinear revolution and to philosophers and historians of science...The "Encyclopedia of Nonlinear Science should be on the shelf of every group working in applied science, and in the personal collections of many scientists."
-"IlNuovo Saggiatore
About the Author
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.
Most helpful customer reviews
10 of 10 people found the following review helpful.
Encyclopedia of Nonlinear Science, Edited by Alwyn Scott
By Henry M. Sobell
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 of 7 people found the following review helpful.
Nonlinear Science of Nonlinear Nature
By V. Yukalov
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 of 6 people found the following review helpful.
The book for many
By Lev Ostrovsky
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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