Written primarily for advanced undergraduate students in science but postgraduate students and researchers in mathematics, physics and other areas of science will also find the book useful. The authors concentrate on explaining the fundamentals of the subject by studying examples from one-dimensional maps and simple differential equations. The text is supported by numerous line diagrams and computer graphics. Problems and solutions are provided to test the reader's understanding.
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Editorial Reviews
Review
… the book provides an interesting account of the chaotic behaviour in dynamical systems … [it] certainly serves as a useful source of reference for postgraduate students and researchers.
-Mathematics Today
The book by Nagashima and Baba seems to combine this wide perspective and at the same time enough precision to get real insight in what is going on … Altogether this is an interesting new introduction to nonlinear dynamics and will certainly be worthwhile to try it out for a mixed audience.
-Nonlinear Science Today
… this may be the best technical undergraduate book on chaos theory on the market. Nagashima and Baba eschew fancy color illustrations and concentrate on the theory instead. The exposition is entirely mathematical, presented in clear, terse fashion with numerous crisp graphs. Some 46 problems (with solutions) help to deepen the reader's understanding of the material. The focus is on one-dimensional maps and simple differential equations; this rather narrow scope allows a depth of coverage not normally seen in a book at this level.
-Choice Magazine --This text refers to the Paperback edition.
-Mathematics Today
The book by Nagashima and Baba seems to combine this wide perspective and at the same time enough precision to get real insight in what is going on … Altogether this is an interesting new introduction to nonlinear dynamics and will certainly be worthwhile to try it out for a mixed audience.
-Nonlinear Science Today
… this may be the best technical undergraduate book on chaos theory on the market. Nagashima and Baba eschew fancy color illustrations and concentrate on the theory instead. The exposition is entirely mathematical, presented in clear, terse fashion with numerous crisp graphs. Some 46 problems (with solutions) help to deepen the reader's understanding of the material. The focus is on one-dimensional maps and simple differential equations; this rather narrow scope allows a depth of coverage not normally seen in a book at this level.
-Choice Magazine --This text refers to the Paperback edition.
Language Notes
Text: English (translation)
Original Language: Japanese
Original Language: Japanese
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Inside This Book
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First Sentence:
The meaning or the definition of chaos must be clarified, first of all, to discuss chaos. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
observable chaos, superstable periodic orbit, superstable orbit, small chaos, laminar part, binary transformation, tent map, aperiodic orbit, intermittent chaos, topological entropy, scrambled set, logistic map, inner measure, nearby orbits, capacity dimension, correlation dimension, pitchfork bifurcations, double pendulum, outer measure, stationary orbits, irregular oscillation, irregular series, periodic orbits, periodic points, binary fraction New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The meaning or the definition of chaos must be clarified, first of all, to discuss chaos. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
observable chaos, superstable periodic orbit, superstable orbit, small chaos, laminar part, binary transformation, tent map, aperiodic orbit, intermittent chaos, topological entropy, scrambled set, logistic map, inner measure, nearby orbits, capacity dimension, correlation dimension, pitchfork bifurcations, double pendulum, outer measure, stationary orbits, irregular oscillation, irregular series, periodic orbits, periodic points, binary fraction New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 1
book:
5
books
cite this book:
- An Introduction to the Theory of Numbers (Oxford Science Publications) by G. H. Hardy in Back Matter
- Dynamical Systems with Applications using Maple by Stephen Lynch on page 253, and Back Matter
- Dynamical Systems with Applications using MATLAB by Stephen Lynch on page 68, and Back Matter
- Dynamical Aspects in Fuzzy Decision Making (Studies in Fuzziness and Soft Computing) by Yuji Yoshida on page 161
- Chaos and Fractals in Engineering by Masahiro Nakagawa on page 145
- Experiments in Modern Physics, Second Edition by Adrian C. Melissinos on page 150
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