A First Course In Chaotic Dynamical Systems: Theory And Experiment, 2nd Edition (Hardback) book cover

A First Course In Chaotic Dynamical Systems

Theory And Experiment, 2nd Edition

By Robert L. Devaney

Chapman and Hall/CRC

328 pages | 16 Color Illus.

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Hardback: 9780367235994
pub: 2020-05-13
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Description

The first text to introduce modern topics in dynamical systems at the undergraduate level, the book integrates both theory and computer experiments into its coverage of contemporary ideas. A classic, it offers a gradual introduction to the basic mathematical ideas behind such topics as chaos, fractals, Newton's method, symbolic dynamics, the Julia set, and the Mandelbrot set. It includes biographies of some of the leading researchers in the field. The new edition offers a heavily revised chapter on chaos and an emphasis on encouraging student research and experiment. The book is accessible to readers with only a background in calculus. Many new examples and exercises and updated references.

About the Author

Robert L. Devaney is currently Professor of Mathematics at Boston University. He received his undergraduate degree from the College of the Holy Cross in 1969 and his PhD from the University of California at Berkeley in 1973 under the direction of Stephen Smale. He taught at Northwestern University and Tufts University before coming to Boston University in 1980.

His main area of research is dynamical systems, primarily complex analytic dynamics, but also including more general ideas about chaotic dynamical systems. Lately, he has become intrigued with the incredibly rich topological aspects of dynamics, including such things as indecomposable continua, Sierpinski curves, and Cantor bouquets.

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT004000
MATHEMATICS / Arithmetic
MAT007000
MATHEMATICS / Differential Equations
MAT012000
MATHEMATICS / Geometry / General