While having a lecture in Measure theory class, the professor mentioned some things about geometrical measure theory, Hausdorff dimension and fractals, something I personally found very interesting and never heard of before.
My question is the following: which fields of mathematics deal with those terms and how can one study them properly and in depth? Any textbooks suggestion would be perfect.
The book "Introduction to Chaotic Dynamical Systems by Robert Devany "is an excellent source for beginners.