Example 24.  The conformal mapping    [Graphics:Images/ConformalMapDictionary.2.2_gr_15.gif].   
The image of the upper half-plane  [Graphics:Images/ConformalMapDictionary.2.2_gr_16.gif]  is the upper-half plane  [Graphics:Images/ConformalMapDictionary.2.2_gr_17.gif]  slit along the vertical segment  [Graphics:Images/ConformalMapDictionary.2.2_gr_18.gif].  

 [Graphics:Images/ConformalMapDictionary.2.2_gr_19.gif][Graphics:Images/ConformalMapDictionary.2.2_gr_20.gif]

 

[Graphics:../Images/ConformalMapDictionary.2.2_gr_21.gif][Graphics:../Images/ConformalMapDictionary.2.2_gr_22.gif]

 

[Graphics:../Images/ConformalMapDictionary.2.2_gr_23.gif]              [Graphics:../Images/ConformalMapDictionary.2.2_gr_24.gif]

 

[Graphics:../Images/ConformalMapDictionary.2.2_gr_25.gif][Graphics:../Images/ConformalMapDictionary.2.2_gr_26.gif]

 

[Graphics:../Images/ConformalMapDictionary.2.2_gr_27.gif][Graphics:../Images/ConformalMapDictionary.2.2_gr_28.gif]

 

[Graphics:../Images/ConformalMapDictionary.2.2_gr_29.gif][Graphics:../Images/ConformalMapDictionary.2.2_gr_30.gif]

            Figure 10.13  The composite transformation  [Graphics:../Images/ConformalMapDictionary.2.2_gr_31.gif]  and the intermediate steps  [Graphics:../Images/ConformalMapDictionary.2.2_gr_32.gif]  and  [Graphics:../Images/ConformalMapDictionary.2.2_gr_33.gif].

 

Details 24.

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