Argand

This is a Windows application for visualising complex functions.

It is named after the Argand diagram, upon which complex numbers can be plotted as points, with their real parts along the x axis and imaginary parts on the y axis.

Check out the Argand board on the forum for latest news

Argand can be used in two main modes :

To display the real and imaginary parts of a complex function. One window shows the real part, as a vertical distance above the z plane. Another window shows the imagnianry part above the z plane.

Alternatively it can show a transformation. One window shows a shape (rectangle, line, ellipse, grids) in the z plane, while the other shows the transformation of those points by the function onto the w plane ( where w = f(z) ). The integral of the function over the path is laso shown. These conformal transformations are heavily used in physics and engineering.

Requirements : it works on versions of Windows with OpenGL (should be Windows 95 on) with sufficient memory - 128 M plus for reasonable speed.

This is freeware - no cost to you, not an evaluation version, no free trial, no time limit. Also no support and no warranty of any kind.

Versions

This is 1.0, the first release.

Download and install instructions

>>>> download here <<<<<< (1005 kB )

You will download a zipped file. Once you've got it, unzip it into a suitable directory - it does not matter where, but c:/argand would be good ). You will get argand.exe, together with a documentation folder. Create a short-cut to argand.exe on your desktop.

The installation is completely safe and it will not touch any dlls or the system registry.

Screenshots

Click on the thumbnail for a full-size version

	This shows the real (left window) and imaginary parts of the function w = sin( z )
	This is sin(z) again, but the right hand window is displaying a slice through the real part, here along the x axis, so we can see the familiar sine curve
	This shows a conformal transformation, of w = z*z, from a quarter circle of radius 3 to the half-plane circle radius 9
	This is the transformation of a square grid by sin( z ). Vertical lines are transformed into hyperbolae, while horizontal lines turn into circles.