Example 2.3.  Express  [Graphics:Images/ComplexFunLinear_gr_58.gif]  by a formula involving the variables  [Graphics:Images/ComplexFunLinear_gr_59.gif].  

Explore Solution 2.3.

Enter the function.

[Graphics:../Images/ComplexFunLinear_gr_61.gif]



[Graphics:../Images/ComplexFunLinear_gr_62.gif]

 

 

Aside.  We can let Mathematica plot the image of a region under the mapping w = f[z].

[Graphics:../Images/ComplexFunLinear_gr_63.gif]



[Graphics:../Images/ComplexFunLinear_gr_64.gif]

[Graphics:../Images/ComplexFunLinear_gr_65.gif]

[Graphics:../Images/ComplexFunLinear_gr_66.gif]

[Graphics:../Images/ComplexFunLinear_gr_67.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2006 John H. Mathews, Russell W. Howell