The Dirichlet Problem

Complex Analysis: Explorations with F(Z)

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Introduction

A Dirichlet problem for the upper half plane.

A Dirichlet problem for the disk.

A Dirichlet problem for the half disk.

A Dirichlet problem for the quarter disk.

 

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