Choas Theory & Fractals

Newspeak

I am looking for two different pairs of books. This first pair would be an introduction into the chaos theory and fractals(seperate books). The second pair, I am looking for complete mathematical theory on each, preferably that is pretty self contained and in depth.

My background in mathematics is: Calc 1-3, Linear Alg., Diff. Eq., and Mathematical Physics. I will be taking Applications of Complex Variables, and PDE's.

I would also appreciate recommended math coverage for fractals.

NoMoreExams

I'm a strong believer that you can't do chaos theory without fully understanding dynamical systems, maybe others disagree. You might want to check out:

Light intro to Dynamical Systems and Chaos Theory: http://www.amazon.com/Nonlinear-Dyna...1863654&sr=8-1

Somewhat more in depth dynamical systems treatment: http://www.amazon.com/Differential-E...1863724&sr=1-4

Pretty in depth treatment (probably beginning graduate): http://www.amazon.com/Introduction-D...1863755&sr=1-3