I am supposed to Graduate from Mathematics this year, but the course complex analysis is keeping me behind as I failed to pass the course in my final year.
I have downloaded several materials on complex analysis but I still don't have what I really need.
It is imminent I pass the course this year if I have to graduate. More than passing the course I want to have an A in the course as I believe I can but in other to do that I would like for a recommendation from a professional on a comprehensive book that covers pretty much everything on complex analysis and more importantly the following topics.
- Introduction to complex numbers
- Functions of Complex Variables
- Power series
- Complex integration
- Cauchy's theorem and its consequences
- Calculus of Residues
- Complex Sequences
Thanks in advance.
I would recommend the following book to you :
It is easy to read ,contains the above topics and is particularly suitable for suitable for self-study as you will find most of the exercises with hints/solutions at the back of the chapter.
[Joseph_Bak,_Donald_J._Newman]_Complex_Analysis