Book to learn the use of complex number to solve geometric problem

Question

I want to learn to use complex number to solve geometric problems, Specially to solve olympiad questions. There are a couple of books in the market and i am confused which one should i buy.

Here is some of them---

1. Geometry of complex number, Hans Schwedtfeger
2. Introduction to the geometry of complex number, Ronald Deaux
3. Complex number and geometry, liang shin hahn
4. Complex number in geometry.

I am a very beginner at this thing. I do not know a thing about using complex number in geometry. Some hard and too much advanced book won't suite me.

Answer 1

I think Complex Numbers from A to ... Z by Titu Andreescu and Dorin Andrica might suit you. It starts out on a basic level and finishes with Olympiad-level problems.

From the preface: “The targeted audience includes high school students and their teachers, undergraduates, mathematics contestants such as those training for Olympiads or the W. L. Putnam Mathematical Competition, their coaches, and any person interested in essential mathematics.”

Answer 2

Repeating an earlier MSE question, I suggest:

Tristan Needham, Visual Complex Analysis, Oxford Univ. Press, 1998.

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