Websites related to "Visual Complex Analysis"

Table of Conformal Mappings Using Continuous Coloring George Abdo and Paul Godfrey Florida Institute of Technology Includes Conformal Maps requiring Möbius and Schwartz-Christoffel Transformations.

Graphics for Complex Analysis Douglas N. Arnold Penn State A nice collection of animated GIFs illustrating complex mappings. Also available in the form of controllable Java applets.

Understanding Complex Function Graphs Tom Banchoff and Davide Cervone Brown University and The Geometry Center This is a paper published in the Communications in Visual Mathematics. It makes imaginative use of MPEG movies as an aid to visualizing complex graphs in four dimensions.

Complex Function Grapher Andrew Bennett Kansas State University, Manhattan This mathlet graphs the modular surface of a complex function and adds color to represent the argument.

Complex Function Visualization Frank Farris Santa Clara University Examples of Prof. Farris's mathematically illuminating approach to visualizing complex mappings by means of colour.

Resources for the Teaching of Complex Variables Paul Fishback Grand Valley State University Several examples of Prof. Fishback's FZW files, for use with F(z) for Windows [see below], together with documentation in the form of MS Word files. This site also includes a list of recommended readings related to the application of technology to the visualization of complex analysis.

Julia and Mandelbrot Set Explorer David E. Joyce Clark University The name says it all.

f(z) - The Complex Variables Program Lascaux Graphics An excellent commercial Windows package for visualizing complex mappings. There is also a free, downloadable demo version.

Visualizing complex analytic functions using domain coloring Hans Lundmark Linköping University, Sweden Very beautiful examples (inspired by Prof. Farris's above) of visualizing complex mappings by means of colour.

Java Complex Function Viewer Keith Orpen and Djun M. Kim University of British Columbia Interactively allows you to view the effect of the exponential and sine functions on a small grid of squares.

Newton's method, Julia and Mandelbrot sets, and complex coloring Martin Pergler Some applications of domain coloring to iterated functions.

Visualization and Graphical Interpretation Prof. Aguinaldo Robinson de Souza Chemistry Department, São Paulo State University, Brazil This Brazilian site is mainly in Portuguese, but with parts translated into English. It contains a variety of resources related to the visualization of complex functions: written explanations, images, videos, and software.

"BOMBELLI" A Java viewer for arbitrary, user-specified complex functions Prof. Sérgio Santa Cruz and Paulo Soares Fonseca Universidade Federal de Pernambuco, Brazil An excellent, free, user-friendly viewer for arbitrary functions. Highly recommended!