The Mobius Transformation

Complex Analysis: Explorations with F(Z)

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Introduction

The Mobius transformation w = i(1-z)/(1+z).

The Mobius transformation w = ((1-i)z+2)/((1+i)z+2).

The Mobius transformation w = (-iz+4i)/z.

The Mobius transformation w = (z-1)/(z+1).

The Mobius transformation w = (-3z-6)/(z-2).

The Mobius transformation w = (5z-10)/(2z-1).

 

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