Complex Analysis

$a^{5}$
$\alpha$
$$f(x)=\frac{P(x)}{Q(x)}$$

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Textbook: Complex Analysis(Stein)

Chapter 1. Preliminaries to Complex Analysis

1 Complex numbers and the complex plane

It has already done in high school, so it will not be repeated here.

2 Functions on the complex plane

2.1 Continuous functions

2.2 Holomorphic functions

2.3 Power series

3 Integration along curves

4 Exercises

Chapter 2. Cauchy’s Theorem and Its Applications