Complex analysis textbooks with proofs but no real analysis background required

[Skrew]

I don't think this is the right area to post this question so to the mods: please be kind and move it to a better section if one exists.

I'm looking for a textbook on complex analysis which gives proofs but is accessible without a formal real analysis course.

I would appreciate suggestions on books.

 

[micromass]

I would recommend "Complex Analysis" by Freitag and Busam. It requires a lot of calculus (integrals, power series, sequences, compactness,...). But if you haven't seen any formal real analysis, then I think you could get away with it.

Give it a try!

 

[Skrew]

I would recommend "Complex Analysis" by Freitag and Busam. It requires a lot of calculus (integrals, power series, sequences, compactness,...). But if you haven't seen any formal real analysis, then I think you could get away with it.

Give it a try!

I don't know what compactness is, not that I couldn't look it up but I want the book to be more or less self contained.

 

[micromass]

Well, compactness is explained in the book. So the book is quite self-contained. (only some proofs of theorems in the first chapter are not given).

But the more calculus and real analysis you've seen, the better. And this is true for every complex analysis book...

 

[micromass]

Well, a book that doesn't have many requisites is "Visual complex analysis" by Needham. I don't think you'll need much real analysis for it. But it comes with a price. It might not be as rigorous as you would like... Still, it's a recommended read for everyone...