Discrete Chaos, Second Edition: With Applications in Science and Engineering - Hardcover

Elaydi, Saber N.

Hardcover

ISBN 10: 1584880023 ISBN 13: 9781584880028

Publisher: Chapman and Hall/CRC, 1999

Synopsis

Over the last 15 years chaos has virtually exploded over the landscape of mathematics and showered its effects on nearly every scientific discipline. However, despite the large number of texts published on the subject, a need has persisted for a book accessible to readers of varying backgrounds that includes discussion of stability theory and emphasizes real-world applications.

Discrete Chaos fills that need. With only calculus and linear algebra as prerequisites, this book offers a broad range of topics with a depth not often found in texts written at this level. The author presents a thorough exposition of both stability and chaos theories in both one and two dimensions. He offers a highly readable account of fractals and the mathematics behind them, and demonstrates a number of applications from a variety of fields.

This unique treatment of chaos encourages readers to make mathematical discoveries of their own through computer experimentation. The author incorporates the use of Mapleä software throughout the book to aid in the solution of problems. All of the programs used in the book can be easily downloaded from the Internet.

You'll find even the most difficult material in an elementary framework, easily accessible regardless of your background and specialization. With a multitude of exercises to further enhance the learning experience, Discrete Chaos offers the perfect vehicle for beginning the journey into the rich world of chaos.

About this title

About the Author

Trinity University, San Antonio, Texas, USA

Review

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

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 1999
• ISBN 10: 1584880023
• ISBN 13: 9781584880028
• Binding: Hardcover
• Language: English
• Edition number: 1
• Number of pages: 376