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e-pi

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**Please recommend a complex analysis book for "The road to reality"**

Guys

I am a electrical engineer who studied calculus III about 15 years ago. That time I memorized formulas to pass exams and never have much of a understanding of complex analysis. Never touched high math again after graduation.

Here is my level:

Calculus: Have some vague idea and memory on triple intergration fff.

Complex analyisis: Have some vague memory on e^x = cosx + isinx.

Complex Fourier transform: Vague idea.

My memory is lousy.

Bought "The road to reality" by Roger Penrose with enthusiasm, ok until chapter 7 after many rereads. Then stuck at chapter 8 Riemann Surface. I don't understand the topological concepts.

From this forum I read that there is a few books that can help:

1. Visual Complex Analysis by Needham

2. Complex variable by Flanigan

3. Elementary theory of analytic functions of one and several complex variables by Henri Cartan

I want a book that can help me understand intuitively the concepts in Penrose's book. I am not really interested in math proofs or graduate level detail math. Something like a book "for dummies", but not too shallow (hey, i am not that dumb).

So which of the three math book you recommend to buy? Any other books? Thanks.