Optional Computer Example

 

Example 52.  The conformal mapping  [Graphics:Images/ConformalMapDictionary.5.1_gr_71.gif].  
It can be constructed via the Schwarz-Christoffel integral  [Graphics:Images/ConformalMapDictionary.5.1_gr_72.gif],  here  [Graphics:Images/ConformalMapDictionary.5.1_gr_73.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_74.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_75.gif]  and  [Graphics:Images/ConformalMapDictionary.5.1_gr_76.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_77.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_78.gif],  and the angles are  [Graphics:Images/ConformalMapDictionary.5.1_gr_79.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_80.gif], [Graphics:Images/ConformalMapDictionary.5.1_gr_81.gif].  Also  [Graphics:Images/ConformalMapDictionary.5.1_gr_82.gif].

 [Graphics:Images/ConformalMapDictionary.5.1_gr_83.gif]    [Graphics:Images/ConformalMapDictionary.5.1_gr_84.gif]

 

[Graphics:../Images/ConformalMapDictionary.5.1_gr_85.gif]    [Graphics:../Images/ConformalMapDictionary.5.1_gr_86.gif]

 

Details 52.

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