Its been two weeks since I've joined this site, and I have received wonderful answers to my complex number questions at the shortest time. I am specially very weak in Complex numbers, and I see such great answers that I wish I could see the solutions to the problems like how the users who answered does. Let's get to the question:

I am looking for a good in depth complex number book for my standard, a book that will help me understand this chapter well. I have posted on this post some of the questions that I have had, so that it gives an idea to what standard I am looking for.

I have seen posts looking for complex analysis books, but those books are too advanced level for me.

The basic summary of my complex analysis course:

Questions I have struggled with:

Here are some of the actual problems that I have had, so it gives a very good idea of the types of questions I struggled:

How to express $z^8 − 1$ as the product of two linear factors and three quadratic factors

How to find $\omega^7$ and $\omega^6$ from $\omega^5+1=0$

Why is $t=\frac{1}{2}$ a root for $\tan 4\theta= \frac{4t-4t^3}{1-6t^2+t^4}=\frac{-24}{7}$, where $t=\tan \theta$

How to find the roots of $(w−1)^4 +(w−1)^3 +(w−1)^2 +w=0$

How to find the roots of $(\frac{z-1}{z})^5=1$

No matter even though I understand one question, when I attempt a different to question, it uses a different strategy. So I think I'll be able to look at problems at a better angle, if I have a good book that suits me

• Based on the questions you given, "complex analysis" is the wrong keyword. Complex analysis is, roughly, calculus for functions of a complex variable. The questions you've posted are primarily algebra, not analysis. Oct 28, 2014 at 10:35
• @ChristopherA.Wong Algebra? But this is complex numbers. Oct 28, 2014 at 10:37
• @TheArtist This is still algebra on the complex numbers. You're not using differentiation or integration here at all.
– Ian
Oct 28, 2014 at 11:05
• @Ian oh ok :) sorry. Il edit my question Oct 28, 2014 at 11:07
• @GitGud changed to complex numbers (exactly what my syllabus tells) :) Oct 28, 2014 at 11:16