>>16767859
Surprisingly, the image misses all of my favorite complex analysis books: read those of Lang (in Springer), Kodaira (in Cambridge) and Barry Simon's Basic complex analysis. It doesn't get any better than the latter.
If you read spanish, then Carlos Ivorra Castillo's notes are also good, though I read the old ones and it seems he changed them significantly.

>>16768350
>Hartshorne
Good book. If you have a "rough skin" I strongly recommend you to check Hilbert's Foundations, the first chapters don't require anything. Also Dillon's Geometry though History is a more modern account of the subject without entering into actual differential topology.