Exercise 18. Show the following concerning the exponential map .
18 (a). The image
of the line , where is
Solution 18 (a).
See text and/or instructor's solution manual.
Substitute into the equations and and obtain
This set is the parametric representation of a spiral.
We are done.
Aside. We can let Mathematica double check our work.
image of a portion of the line ,
is a portion of the spiral .
This solution is complements of the authors.
(c) 2008 John H. Mathews, Russell W. Howell