Math 3593H Honors Mathematics II Spring Semester 2006
Assignment 12 - Due Thursday 4/20/2006
Read: Hubbard and Hubbard Sections 6.8 and 6.9.
Section 6.8 (pages 640-642): 1, 2, 3, 5*, 6, 8, 9*, 10*.
Section 6.9 (pages 649-650): 1, 2*, 3*, 4, 5, 6, 7. Question 4 seems to be poorly worded, in that the 2-form they specify is not defined at the origin. The question applies to points other than the origin.
Extra Question*: (a) Find a function f(x,y) such that .
(b) Explain why you cannot find an f(x,y) such that .
You can see that we are making very good progress towards the end of the book. After we finish these chapters we will probably go back and do something we missed out earlier, like curvature.