Around the Boundary of Complex Dynamics

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.