Complex Numbers and Fractals

Section 1 - Complex Numbers

Introduction

Solution of a Quadratic using i

What is a Complex Number?

Algebra Involving Complex Numbers

Addition - Subtraction - Multiplication - Division

Representing Complex Numbers

Link between Complex Numbers, Conjugates, and Moduli

Section 2 - Mandelbrot and Julia Sets

Introduction

Iteration

The Mandelbrot Set

Colour?

Illustrations

The Julia Set

Illustrations

Section 3 - Newton-Raphson Method

The Newton Fractal

Colour

Illustrations

All text © 1996-2007 Gavin Winston