The Schwarz-Christoffel Transformation

Complex Analysis: Explorations with F(Z)

Check out the new Complex Analysis Projects page.

 

Introduction

Mapping onto a right-angled channel.

Mapping onto a channel plus quadrant.

Mapping onto a channel plus sector.

Mapping onto the quadrant slit with a line.

Fluid flow over a step.

Fluid flow over an infinitely deep ditch.

Fluid flow around an infinite rectangle.

Fluid flow over a dam.

 

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