- Hardcover: 440 pages
- Publisher: Chapman and Hall/CRC; 2 edition (November 9, 2007)
- Language: English
- ISBN-10: 1584885920
- ISBN-13: 978-1584885924
- Product Dimensions: 6.2 x 1 x 9.5 inches
- Shipping Weight: 1.5 pounds (View shipping rates and policies)
- Average Customer Review: 4 customer reviews
- Amazon Best Sellers Rank: #1,043,864 in Books (See Top 100 in Books)
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Discrete Chaos, Second Edition: With Applications in Science and Engineering 2nd Edition
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From the Foreword:
The present text book gives an excellent introduction to this new, and potentially revolutionary, territory. It will take the reader, with clarity and precision, from simple beginnings with 1-dimensional difference equations (and their cascades of period doubling en route to chaos), on to 2- and 3-dimensional systems, and beyond this to fractals and relationships between geometry and dynamics. The final chapter deals with the Julia and Mandelbrot sets, where in my opinion mathematical elegance and pure aesthetic beauty begin to merge.
-Lord Robert M. May, Department of Zoology, University of Oxford, UK
One of the features that makes this book unique is that, as a renowned and active researcher in discrete dynamical systems and difference equations, Elaydi integrates very skillfully these two fields, whenever possible, and provides in depth the stability theory for one- and two-dimensional dynamical systems. It is fascinating that, without sacrificing anything important, the author is able to simplify the treatment and compress the material on one-dimensional dynamics into chapter 1 that takes some texts many chapters.
-Danrun Huang, St. Cloud State University, Minnesota, USA
About the Author
Trinity University, San Antonio, Texas, USA --This text refers to an out of print or unavailable edition of this title.
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The book is divided into six sections. Section 1 and Section 2 introduce essential concepts for describing and analyzing chaotic discrete-time systems. Section 3 and Section 5 focus on chaos in one dimension and two dimensions, respectively. Section 4 describes the stability of two-dimensional systems. Fractals are formulated and analyzed in Section 6. Section 7 is devoted to the study of The Julia and Mandelbrot Sets.
All chapters end with excellent exercises. The book also has answers to the exercises. The book is designed to be independent of any particular computing environment.