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
Substitutions in Dynamics, Arithmetics, and Combinatoricsby Pierre Arnoux, et al. - Springer
A certain category of infinite strings of letters on a finite alphabet is presented here, chosen among the 'simplest' possible one may build, both because they are very deterministic and because they are built by simple rules.
(12399 views)
Ergodic Optimization, Zero Temperature Limits and the Max-plus Algebraby A. T. Baraviera, R. Leplaideur, A. O. Lopes - arXiv
We review some basic notions in ergodic theory and thermodynamic formalism, as well as introductory results in the context of max-plus algebra, in order to exhibit some properties of equilibrium measures when temperature goes to zero.
(9332 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.
(17782 views)
The Chaos Hypertextbookby Glenn Elert
This book is written for anyone with an interest in chaos, fractals, non-linear dynamics, or mathematics in general. It's a moderately heavy piece of work, requiring a bit of mathematical knowledge, but it is definitely not aimed at mathematicians.
(16098 views)