I am considering complex analysis as my next area of study. There are already a few threads asking about complex analysis texts (see Complex Analysis Book and What is a good complex analysis textbook?). However, I'm looking for something a little more specific, if such a thing exists.
Is there a nice, slow-paced introductory complex analysis text that features at least some (introductory) material on Riemann surfaces?
A look through texts mentioned in the pages linked above did not yield any. I am not big on analysis and tend to favor more algebraic, topological, and geometric-flavored areas of mathematics. I am however trying to learn at least at a basic level the core disciplines of mathematics, and I feel I would be amiss if I did not study complex analysis. For background: I have a basic knowledge of real analysis, algebra (group, ring, and field theory), linear algebra, and will have knowledge of topology.
In addition to my above desire in a complex analysis text: is there one you would recommend for its view toward algebraic, topological, or geometric applications of complex analysis?
Any online lecture notes (or inexpensive book) on Riemann surfaces that would be accessible after or along with an introductory look at complex analysis would be welcome as well.
EDIT: After what has developed, I feel this question is now appropriate: Is there a complex analysis text that would be particularly recommended if one wishes to study Riemann surfaces? What topics in particular is it important to develop a good grasp of?