I'm a third year student who is mostly interested in commutative algebra. In Algebraic Geometry a lot of example come from Complex Analysis. So to deepen my understanding/intuition, I'll finally attend an Introduction to Complex Analysis lecture. (Which is actually made for second year students, but let's say I've not been a big fan of Analysis so far)
Therefore I am looking for a book on the topic of complex analysis which is particulary fit for people who are interested in the more algebraic aspects/ intuition for algebraic geometry and might even have some background in that direction, but still offers a good and complete introduction to complex analysis itself.
I know that a similar topic had already been posted, but I think the lecture I will attend - and therefore the kind of book I am looking for - is even a bit more elementary as it doesn't deal with manifolds at all. (I'm aware of the fact that 'nice connections' with algebraic geometry most likely will only appear when you start studying smooth manifolds, but sadly this is not what this lecture offers).