Book recommendation for a new student on complex analysis

Question

Please consider the following topics

1.Analytic functions

2.Cauchy's theorem and Cauchy Integral formula

3.Maximum Modulus Principle

4.Laurent Series

5.Singularities

6.Theory of residues and contour integration

I am new to complex analysis and have to study these.Please suggest some books keeping in mind I have just completed a course in real analysis

Answer 1

I would recommend "Complex Analysis (Universitext)" by Freitag & Busam.

It contains all your requirements and has complete solutions in the back. There is also a second volume if you want to go deeper into the subject.

Answer 2

I recommend Marsden's Basic Complex Analysis and Bak's Complex Analysis. It might help if you have this Schaum's outline on the side to accompany one (or both) of these texts.