A Brief Tutorial

A Brief Tutorial

Overview

Simply stated, Bombelli is just another computer programme for plotting complex functions. Nevertheless, it features many characteristics that are at least unusual amongst other applications at its level, namely:

* It is gratuitous;
* On account of having been written in JAVA, it is platform independent and avaiable through the Internet;
* It offers a high degree of flexibility on defining new functions such as polymomial, trigonometric, exponential, Möbius Transformations, etc.;
* It includes four types of domain shapes: square grid, circular grid, Arnold's cat and a free-form coninuous curve;
* It permits fine detail observation through the "scroll" and "zoom" controls;
* It offers an adjustable degree of "smoothness".

A Complex Function Viewer (Java)

A Complex Function Viewer (Java): "This Java applet allows you to visualize certain maps from the Complex plane to itself. Eventually, we'd like to be able to visualize more general maps from the Cartesian plane to itself. We welcome feedback on this project.

Use the mouse pointer to move the small (red) square grid around. It represents a neighbourhood of a point in the domain. The twisted (blue) grid represents the image of the square grid."

To investigate soon...

Chinn and Steenrod's popular-ish book, including discussion of winding number etc.

Chinn, William G.
Title: First concepts of topology : the geometry of mappings of segments, curves, circles, and disks / by W. G. Chinn and N. E. Steenrod
Published: [New York] : Random House, [1966]
Description: viii, 160 p. : illus ; 23 cm.
Other Author(s): Steenrod, Norman Earl, 1910-1971, joint author
Subject Heading(s): Topology.
Series Title(s): New mathematical library, 18

Location: Barr Smith Main collection
Call Number: 515.1 C539f
Status: Not on loan