Encounters with Chaos and Fractals

Denny Gulick, Jeff Ford (Gustavus Adolphus Collete)

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Hardback

Forthcoming
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English

Chapman & Hall/CRC
10 May 2024

Differential calculus & equations; Geometry; Chaos theory

Series: Textbooks in Mathematics

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.

By: Denny Gulick, Jeff Ford (Gustavus Adolphus Collete)
Imprint: Chapman & Hall/CRC
Country of Publication: United Kingdom
Edition: 3rd edition
Dimensions: Height: 234mm, Width: 156mm,
Weight: 920g
ISBN: 9781032677866
ISBN 10: 1032677864
Series: Textbooks in Mathematics
Pages: 394
Publication Date: 10 May 2024
Audience: College/higher education , Primary
Format: Hardback
Publisher's Status: Forthcoming

Denny Gulick is Professor Emeritus 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. Jeff Ford is a Visiting Assistant Professor of Mathematics at Gustavus Adolphus College. He earned his Bachelor’s degree from Gustavus Adolphus College, his Master’s degree in mathematics from Minnesota State University-Mankato, and his Ph.D. in mathematics from Auburn University, studying under Dr. Krystyna Kuperberg. Jeff is interested in the existence of volume-preserving dynamical systems with unique properties. Jeff uses and assesses a variety of active learning techniques in his class including inquiry-based learning and team-based learning. His scholarship in this area centers on understanding how active learning techniques improve confidence and reduce anxiety in undergraduate students.