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Chaos and Time-Series Analysis, by Julien Clinton Sprott
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This text provides an introduction to the exciting new developments in chaos and related topics in nonlinear dynamics, including the detection and quantification of chaos in experimental data, fractals, and complex systems. Most of the important elementary concepts in nonlinear dynamics are discussed, with emphasis on the physical concepts and useful results rather than mathematical proofs and derivations. While many books on chaos are purely qualitative and many others are highly mathematical, this book fills the middle ground by giving the essential equations, but in the simplest possible form. It assumes only an elementary knowledge of calculus. Complex numbers, differential equations, and vector calculus are used in places, but those tools are described as required. The book is aimed at the student, scientist, or engineer who wants to learn how to use the ideas in a practical setting. It is written at a level suitable for advanced undergraduate and beginning graduate students in all fields of science and engineering.
- Sales Rank: #3972792 in Books
- Published on: 2003-03
- Original language: English
- Number of items: 1
- Dimensions: 6.50" h x 9.50" w x 1.50" l, 2.09 pounds
- Binding: Hardcover
- 507 pages
Review
`... well balanced ... excellent style.' W. Kinsner, University of Manitoba
About the Author
Professor Julien Clinton Sprott Department of Physics University of Wisconsin-Madison 1150 University Avenue Madison Wisconsin 53706 USA Tel: 001-608-263-4449 Email: sprott@physics.wisc.edu http://sprott.physics.wisc.edu/
Most helpful customer reviews
32 of 32 people found the following review helpful.
Best book on chaos/complexity theory & data analysis
By Frederick D. Abraham
For those wishing to upgrade their grasp of chaos theory, dynamics, nonlinear data analysis, with an introduction to related aspects of complexity including fractals and complex systems, this is the best book I have yet seen, and supplements the excellet visual dynamics books by Ralph Abraham. It arose from the upper level course taught by Sprott at the University of Wisconsin. The book is well supported by his website, which will always keep the book updated. It is nicely hands-on with lots of exercises and a programming project with each chapter. For those impatient to write programs, having a program like Berkeley Madonna to solve systems equations is handy for exploring some of the example systems. It has three excellent appendices, one a catalog of 62 dynamical systems, another useful mathematical formulas, and the last a compilation of useful journals. I found it incredibly comprehensive covering all aspects of the many subjects. And exceptionally clear, updating any necessary mathematics with clear explanations...
11 of 13 people found the following review helpful.
Clear and comprehensive
By Keith L. Warren
I had heard about this book from a friend with an interest in nonlinear dynamics; this is surprising in itself, since the book has been out for less than a year and already seems to be getting a positive reputation. The book more than lived up to my friend's recommendation. It is encyclopedic and remarkably clear. For anyone who is interested in linking nonlinear dynamical theory with empirical methodology, this is the best place that I know of to start.
3 of 3 people found the following review helpful.
Clear, comprehensive and engaging
By Mark C. Andersen
This book covers a lot of material on chaos and fractals briefly but in detail. The writing is very clear and engaging; the mathematics is presented clearly. This book is especially notable for its clear descriptions of the algorithms used to do the analyses described, and for its accessible coverage of methods for analyzing data (rather than equations) from complex systems. It would be particularly useful for ecologists (and possibly economists) with long-term data sets to analyze.
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