Steady State Temperatures

Complex Analysis: Explorations with F(Z)

Check out the new Complex Analysis Projects page.

 

Introduction

Temperature in a half disk.

Temperature in a half plane, insulated -1<x<1,y=0.

Temperature in the first quadrant, insulated x=0,0<y<1 and 0<x<1,y=0.

Temperature in a horizontal strip.

Temperature in a half plane, insulated x<-1,y=0 and 1<x,y=0.

Temperature in the first quadrant, insulated x=0,0<y<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