Looking for books on complex analysis

Question

As the title says, I am looking for some good self-study books on complex analysis. I am an undergraduate student studying computer engineering in Romania. The thing is I have this course that would translate as "special mathematics" and I haven't paid attention until now, so I have to recuperate everything on my own. All the books on complex analysis that I've seen so far cover a lot of other topics and I don't have the time to get to the topics I am looking for until the exams. So I'm searching for some good books covering only or being as closely as possible to the following topics: complex functions, Cauchy's formulas, series of complex functions, power series, Laurent series, Contour integration, residues, distributions, convolution etc. Excuse me for any mistakes as I am not a native english speaker.

Answer 1

I would recommend ($1$) Bak-Newman's Complex Analysis, ($2$) Ivan Wilde's Lectures on Complex Analysis and ($3$) Sarason's Complex Function Theory. You might also want to try Asmar-Grafakos' Complex Analysis with Applications.

Answer 2

I learnt from Marsden's Basic Complex Analysis, which I think is great for self-study also.

Answer 3

Complex Variables and Applications by Brown and Churchill or read 'very easy to understandable' book by Edward B. Saff, Arthur David Snider - Fundamentals of complex analysis, with applications. Third one is Complex Variables by Ablowitz and Fokas.

Answer 4

The following link gives an Amazon review to a book that I am using for self-study, that I really like.

https://www.amazon.com/gp/customer-reviews/R2U8HSQP51VII4/ref=cm_cr_dp_d_rvw_ttl?ie=UTF8&ASIN=038797427X

In my opinion, the review, which includes criticism of the book, is dead on accurate.