MapleStudio the next step - plotting complex (2D and 3D)

May 15 2006 JanE 28
Maple

0

With this Generation of MapleStudio you can also plot complex functions in 2D and also 3D. For doing this, MapleStudio uses the conformal and the conformal3d comands of Maple 10. The following example will show you, how it works.

First you have to choose Complex2D instead of 2D, which is set default. In the text field for the function insert x^2. Now you have to choose the ranges, but you need complex numbers as the lower and also the upper boundary. In this example insert -1-2*I as the lower and 1+2*I as the upper boundary.

What happens now?

If you press the plot button, MapleStudio will create a grid of lines, which are parallel to the axes in the complex area. This grid will be created in the ranges you allready defined. The real parts of your ranges will be used as the ranges for the real axe and same hanppens with the imainary parts. So the following grid will be used in the example.  

You will never see this during your session with MapleStudio. What you will see is only the result. MapleStudio will plot the images of these grid lines also in the complex area. So the result will be the following picture.

After you have done this, change the type of your plot to Complex3D and press the plot button again.

What will happen?

MapleStudio creates the same grid lines in the complex area as you see in the first picture. But the result won't be the images of these lines in the complex area. The result will be the images on the Riemann sphere. That looks like this.

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