Example 2.1.  Write    in the for  .

Explore Solution 2.1.

Use Method 1 to construct  f[x,y].  

Use Method 2 to construct  F[z].  

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

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