
Encounters with Chaos and Fractals
Denny Gulick(Author)
Chapman & Hall/CRC (Publisher)
2nd Edition
Published on 14. October 2024
Book
Paperback/Softback
388 pages
978-1-032-92075-7 (ISBN)
Description
Now with an extensive introduction to fractal geometry
Revised and updated, Encounters with Chaos and Fractals, Second Edition provides an accessible introduction to chaotic dynamics and fractal geometry for readers with a calculus background. It incorporates important mathematical concepts associated with these areas and backs up the definitions and results with motivation, examples, and applications.
Laying the groundwork for later chapters, the text begins with examples of mathematical behavior exhibited by chaotic systems, first in one dimension and then in two and three dimensions. Focusing on fractal geometry, the author goes on to introduce famous infinitely complicated fractals. He analyzes them and explains how to obtain computer renditions of them. The book concludes with the famous Julia sets and the Mandelbrot set.
With more than enough material for a one-semester course, this book gives readers an appreciation of the beauty and diversity of applications of chaotic dynamics and fractal geometry. It shows how these subjects continue to grow within mathematics and in many other disciplines.
Revised and updated, Encounters with Chaos and Fractals, Second Edition provides an accessible introduction to chaotic dynamics and fractal geometry for readers with a calculus background. It incorporates important mathematical concepts associated with these areas and backs up the definitions and results with motivation, examples, and applications.
Laying the groundwork for later chapters, the text begins with examples of mathematical behavior exhibited by chaotic systems, first in one dimension and then in two and three dimensions. Focusing on fractal geometry, the author goes on to introduce famous infinitely complicated fractals. He analyzes them and explains how to obtain computer renditions of them. The book concludes with the famous Julia sets and the Mandelbrot set.
With more than enough material for a one-semester course, this book gives readers an appreciation of the beauty and diversity of applications of chaotic dynamics and fractal geometry. It shows how these subjects continue to grow within mathematics and in many other disciplines.
Reviews / Votes
"This text aims to introduce 'anyone who has a knowledge of calculus' to 'chaotic dynamics and fractal geometry at a modest level of sophistication.' Indeed, the author makes this possible through careful exposition, examples, and exercises ..."-Steve Pederson, Zentralblatt MATH 1253
More details
Series
Edition
2nd edition
Language
English
Place of publication
Boca Raton
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Postgraduate
Illustrations
159 s/w Abbildungen
159 Illustrations, black and white
Dimensions
Height: 254 mm
Width: 178 mm
Weight
720 gr
ISBN-13
978-1-032-92075-7 (9781032920757)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Denny Gulick
Encounters with Chaos and Fractals
Book
04/2012
2nd Edition
Chapman & Hall/CRC
€133.69
Article exhausted; check for reprint
Person
Denny Gulick is a professor in the Department of Mathematics at the University of Maryland. His research interests include operator theory and fractal geometry. He earned a PhD from Yale University.
Content
Periodic Points. One-Dimensional Chaos. Two-Dimensional Chaos. Systems of Differential Equations. Introduction to Fractals. Creating Fractals Sets. Complex Fractals: Julia Sets and the Mandelbrot Set. Computer Programs. Answers to Selected Exercises. References. Index.