Skip to main content
17 votes
Accepted

Are the following topics usually in an introductory Complex Analysis class: Julia sets, Fatou sets, Mandelbrot set, etc?

No, these topics are not usually included in courses on complex analysis, for several reasons, which I will explain below. At the same time, it is easier to understand why relatively old textbooks did ...
paul garrett's user avatar
  • 14.7k
13 votes

Are the following topics usually in an introductory Complex Analysis class: Julia sets, Fatou sets, Mandelbrot set, etc?

A brief stab at an answer before someone more knowledgeable comes along: My brief experience says that: no, fractal sets are not usually a topic in complex analysis (they're not in any of the 3 ...
Daniel R. Collins's user avatar
6 votes

Are the following topics usually in an introductory Complex Analysis class: Julia sets, Fatou sets, Mandelbrot set, etc?

It seems to me there is a fundamental disconnect between what one might call "traditional complex analysis" and the study of fractals. Traditional complex analysis, as used in physics and engineering,...
alephzero's user avatar
  • 889

Only top scored, non community-wiki answers of a minimum length are eligible