Around the Boundary of Complex Dynamics
by Roland K. W. Roeder
Publisher: arXiv 2015
Number of pages: 56
Description:
We introduce the exciting field of complex dynamics at an undergraduate level while reviewing, reinforcing, and extending the ideas learned in an typical first course on complex analysis. Julia sets and the famous Mandelbrot set will be introduced and interesting properties of their boundaries will be described.
Download or read it online for free here:
Download link
(1.5MB, PDF)
Similar books
Introduction to Dynamical Systems: A Hands-on Approach with Maximaby Jaime E. Villate
In this book we explore some topics on dynamical systems, using an active teaching approach, supported by computing tools. The subject of this book on dynamical systems is at the borderline of physics, mathematics and computing.
(7815 views)
Entropy of Compact Group Automorphismsby Thomas Ward - University of East Anglia
These notes cover a very short introduction to measure-theoretic and topological entropy, and are aimed at understanding part of Yuzvinskii's formula for the entropy of compact group automorphisms. Based on a course at the Ohio State University.
(6087 views)
Singularities of Transition Processes in Dynamical Systemsby Alexander N. Gorban - American Mathematical Society
This monograph presents a systematic analysis of the singularities in the transition processes for dynamical systems. We study general dynamical systems, with dependence on a parameter, and construct relaxation times that depend on three variables.
(6801 views)
Chaos: Classical and Quantumby Predrag Cvitanovic - ChaosBook.org
This is a graduate textbook on classical and quantum chaos, applicable to problems of physics, chemistry and other sciences. It represents an attempt to formulate the subject as one of the cornerstones of the graduate physics curriculum of future.
(12893 views)