Optional Computer Example

 

Example 54.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.5.1_gr_100.gif].  
It can be constructed via the Schwarz-Christoffel integral  [Graphics:Images/ConformalMapDictionary.5.1_gr_101.gif],  here  [Graphics:Images/ConformalMapDictionary.5.1_gr_102.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_103.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_104.gif]  and  [Graphics:Images/ConformalMapDictionary.5.1_gr_105.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_106.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_107.gif],  and the angles are  [Graphics:Images/ConformalMapDictionary.5.1_gr_108.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_109.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_110.gif].  Also  [Graphics:Images/ConformalMapDictionary.5.1_gr_111.gif].

 [Graphics:Images/ConformalMapDictionary.5.1_gr_112.gif]    [Graphics:Images/ConformalMapDictionary.5.1_gr_113.gif]

 

[Graphics:../Images/ConformalMapDictionary.5.1_gr_114.gif]    [Graphics:../Images/ConformalMapDictionary.5.1_gr_115.gif]

 

Details 54.

 
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(c) 2008 John H. Mathews, Russell W. Howell