Julia and Mandelbrot Sets

Complex Analysis: Explorations with F(Z)

Check out the new Complex Analysis Projects page.

 

Introduction

Basins of attraction for Newton's method applied to f(z)=z3+1

The Julia set for f(z)=z2-1.25

A disconnected Julia set.

The Mandelbrot set.

 

Other topics illustrated with the software F(Z)

Conformal Mappings

The Mobius Transformation

The Dirichlet Problem

Steady State Temperatures

Two-Dimensional Electrostatics

Two-Dimensional Ideal Fluid Flow

The Schwarz-Christoffel Transformation

Sources and Sinks in Two Dimensions

Julia and Mandelbrot Sets

 

Complimentary software to accompany the text

COMPLEX ANALYSIS: for Mathematics and Engineering

    

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John Mathews, 1998