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.