I graduated from university very long ago and I have forgotten most of what I learned in class, but I want to re-learn some mathematics again. I am reading Henri Cantan's Elementary Theory of Analytic Functions of One or Several Complex Variables right now, but I don't feel like I understand the subject very well.
Recently, I found that Dover was going to republish two titles on complex analysis this year:
- M.A. Evgrafov's Analytic Functions,
- Alan Beardon's Complex Analysis: The Argument Principle in Analysis and Topology.
I am thinking whether I should abandon Cartan and make a switch to one of these two books instead, but I can only find a very short review of Beardon's book by Victor Bryant (the author of Yet Another Introduction to Analysis).
Is anybody familiar with the two aforementioned books? What are their strengths and weaknesses? For beginners, are they better than Cartan or well suited for self study?
At my current level, I don't think I can deal with more advanced topics, but I would like to read a clear, rigorous and efficient development of Cauchy's theorem and many worked examples of using residue calculus to calculate integrals.