What does it take to study fractals?

[Winzer]

So, what should I have under my belt to study it, in particular both point-set and geometric.
I already have CalcI-III
Linear Algebra, Differential Equations. I am guessing I have a long ways to go.
Please feel free to recommend some literature.

Also what does it take to study fractals?

 

[Vid]

I only had a semester of Calc and Modern Algebra in high school when I learned general topology from Crump Baker's Introduction to Topology. It took lots of reading and rereading to get an intuitive grasp of the definitions and theorems, but it was well worth the experience and only requires a working knowledge of set theory.