The study of nonlinear dynamical systems has exploded in the past 25 years, and Robert L. Devaney has made these advanced research developments accessible to undergraduate and graduate mathematics students as well as researchers in other disciplines with the introduction of this widely praised book.In this second edition of his best-selling text, Devaney includes new material on the orbit diagram fro maps of the interval and the Mandelbrot set, as well as striking color photos illustrating both Julia and Mandelbrot sets.This book assumes no prior acquaintance with advanced mathematical topics such as measure theory, topology, and differential geometry, Assuming only a knowledge of calculus, Devaney introduces many of the basic concepts of modern dynamical systems theory and leads the reader to the point of current research in several areas. The first two chapters introduce the reader to a broad spectrum of fundamental topics in dynamics: hyperbolicity, symbolic dynamics, structural stability, stable and unstable manifolds and bifurcation theory.
Readers familiar with linear algebra and complex analysis will be led to the brink of contemporary research in the books concluding chapter, but for anyone with a background in calculus, Devaney provides a comprehensive exploration into the mathematics of chaos.
- ISBN10 0201130467
- ISBN13 9780201130461
- Publish Date 21 January 1989 (first published 1 November 1985)
- Publish Status Out of Print
- Out of Print 14 June 2021
- Publish Country US
- Publisher INGRAM PUBLISHER SERVICES US
- Imprint Perseus Books
- Format Hardcover
- Pages 360
- Language English