Assignment 10 - Due Thursday 4/9/2009
Read: Hubbard and Hubbard Sections 6.1 and 6.2.
Exercises:
Section 6.1 (pages 563 - 565): 1, 2, 3*, 4a*, 5, 6, 7, 8, 9*, 10*, 11*, 12, 13, 15*.
Section 6.2 (pages 569 - 570): 1, 2*, 3* 4*, 5, 6.
Extra question*: Express the following as linear combinations of elementary forms:
(a)
(b)
Comments:
Section 6.1 is overly complicated and I hope to give a more straightforward explanation of some things in class. My intention is that forms should be easy, not scary. I think the problem is understanding what they are in the first place, and if you read Section 6.1 first I think you might get put off. In particular, we will not use definition 6.1.19 as the definition of the wedge product. I will define it in a different way which, I think, is easier. Note that the notation for anchored parallelograms which is used in the discussion of form fields on page 562 onwards is not standard, and appears first in Section 5.1.