Exercise 1. Find the principal value of
1
(c). . ![]()
Solution 1 (c).
See text and/or instructor's solution manual.
Answer. The principal value
is
.
Solution. Use
, where
. Calculation
reveals
We are done.
Aside. We can let Mathematica double check our work.
![[Graphics:../Images/ComplexFunComplexPowerModHome_gr_28.gif]](../Images/ComplexFunComplexPowerModHome_gr_28.gif)
Some
of the points
(the
principal value
is
in green).
This solution is complements of the authors.
(c) 2008 John H. Mathews, Russell W. Howell