TITLE: Good books on complex numbers
QUESTION [13 upvotes]: I searched on this site but I found posts asking for books on complex analysis which I guess is not what I want. 
I want a book on problems concerning with roots of unity, argand plane, exponential form, inequalities etc. Some examples : 1, 2, 3.
I don't think these types of problems are covered in a analysis book but I don't know. I think I want a book on algebra of complex numbers. 
Are these topics covered in analysis book ? If not, please suggests some books on this topic. I guess my question is bit vague, sorry for that. :).  

As suggested in the comments I would like to have books similar to Complex Numbers from A to ...Z.

REPLY [4 votes]: Books on complex analysis definitely use the topics that you mentioned, but usually assume that the reader is already familiar with some algebra and geometry of complex numbers. The book Visual Complex Analysis by Tristan Needham is a great introduction to complex analysis that does not skip the fundamentals that you mentioned. In particular, the first chapter includes detailed sections on the roots of unity, the geometry of the complex plane, Euler's formula, and a very clear proof of the fundamental theorem of algebra. The exercises for chapter one cover all of those topics and also develop many identities. Needham's book has a friendlier and more inviting tone and structure than any other analysis book that I've read; I loved studying from it in my undergraduate complex analysis course.