Book recommendation of Complex Variables (before Complex Analysis).

Question

I'm an engineering student but I self-study pure mathematics. I am looking for a Complex Variables Introduction book (to study before complex analysis). I have the Brown and Churchill book but I was told that's for engineers and physicist mostly, not for mathematicians. I also looked for Fisher and Flanigan, but they don't seem to have as many topics as Brown. I wonder which book is best for the subject or if one of the two previously mentioned will do to master most of the topics of complex variables as a mathematician. Thanks.

Answer 1

Stein and Shakarchi is pretty good, and there's a free pdf online: https://www.fing.edu.uy/~cerminar/Complex_Analysis.pdf.