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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.

Guillermo Bazán
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    Ahlfors is nice if you want rigor, Marsden is pretty decent w/ worked out examples. I haven't tried either of the books you've mentioned. – Rushabh Mehta May 24 '19 at 16:56
  • David Ullrich's Complex made simple looks very well written, although it's a bit pricey. – user1551 May 24 '19 at 21:01

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

Cilantro
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