# Chapter 18: Complex Numbers and Functions of them

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## Introduction

Complex numbers, their representation as points in the complex plane, and functions defined on the complex plane are of great importance in many subjects. Basic properties are reviewed.

## Topics

18.1 Notations, Representation of a Complex Number by Magnitude and Angle, Real and Imaginary Parts

18.2 Functions of a Complex Variable

18.3 Functions of z, z = x + iy, have no Curl, as Vectors

18.4 De Moivre's Theorem

18.5 The Logarithm and the Problem of the Multivalued Nature of Angles