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Useful Tutorial Resources

Complex Analysis - Free Tutorial

Introduction to Complex Numbers (By M. Bourne)

An Introduction to Complex Numbers

Functions of Complex Variables

Introduction to Complex Analysis By W. W. L. Chen

Complex Analysis By George Cain

Complex Analysis (Mathworld By Eric Weisstein)

The Complex Analysis Project By John H. Mathews

"BOMBELLI"                                              A Java viewer for arbitrary, user-specified complex functions (By Prof. Sérgio Santa Cruz and Paulo Soares Fonseca) An excellent, free, user-friendly viewer for arbitrary functions. Highly recommended!

Complex Number Calculator

Online Math Calculators and Solvers

Online Java Applets Demonstrating Complex Numbers Concepts

Site 1: Leaving Cert

Site 2: Massachusetts Institute of Technology (MIT)

Site 3: International Education Software (IES)

Flash Animations Visualizing the Range of a Complex Function f(z) in the Complex Plane for a Predefined Domain

The first frame of the animation shows the domain [values of z] and the last frame shows the range [values of f(z)]

Viewing these animations requires installing Adobe Flash Player on your computer. Adobe Flash Player is available free from: http://www.adobe.com/

Function: f(z)=z2 ,      Domain: Unit Circle

Function: f(z)=z2 ,      Domain: Two Squares

Function: f(z)=z2 ,      Domain: Unit Square

Function: f(z)=exp(z) ,      Domain: [-2,2]x[-π,-π]

Function: f(z)=exp(z) ,      Domain: [-2,2]x[0,2π]

Function: f(z)=exp(z) ,      Domain: [-2,2]x[-2π,2π]

Function: Cubic Polynomial ,      Domain: One Square

Copyright © 2008 by Douglas N. Arnold License: Creative Commons Attribution-Noncommercial-Share Alike 3.0