
As an Amazon Associate and affiliate partner, Menrva Books earns from qualifying purchases. Learn more
A First Course in Chaotic Dynamical Systems: Theory and Experiment is the first book to introduce modern topics in dynamical systems at the undergraduate level. Accessible to readers with only a background in calculus, the book integrates both theory and computer experiments into its coverage of contemporary ideas in dynamics. It is designed as 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, and includes biographies of some of the leading researchers in the field of dynamical systems. Mathematical and computer experiments are integrated throughout the text to help illustrate the meaning of the theorems presented.Chaotic Dynamical Systems Software, Labs 1?6 is a supplementary laboratory software package, available separately, that allows a more intuitive understanding of the mathematics behind dynamical systems theory. Combined with A First Course in Chaotic Dynamical Systems, it leads to a rich understanding of this emerging field.
This text investigates the fundamental mathematical principles governing chaotic dynamical systems and their practical application through computational experimentation. Robert L. Devaney, a prominent mathematician in the field of dynamics, provides a structured pedagogical framework designed for undergraduate students. By bridging the gap between abstract theory and visual computer modeling, the book establishes a foundation for understanding complex phenomena such as fractals and symbolic dynamics. The author utilizes a calculus-based approach to ensure accessibility while maintaining rigorous mathematical standards.
What You Will Find
Experts recognize this work as a primary introductory text for students transitioning into the study of nonlinear dynamics. Readers frequently note the balance between accessible prose and the technical rigor required to grasp complex dynamical concepts.
Page Count:
320
Publication Date:
1992-01-01
Publisher:
Westview Press
ISBN-10:
0201554062
ISBN-13:
9780201554069
No comments yet. Be the first to share your thoughts!