Math 3593H Honors Mathematics II Spring Semester 2009
Assignment 6 - Due Thursday 3/5/2009
Read: Hubbard and Hubbard Sections 4.1 and 4.3.
Section 4.1 (pages 404-407): 3, 5, 6, 9*, 10*, 11, 14a*, 15, 16.
Section 4.3: 1*, 2, 5*.
Sections 4.1 and 4.3 are theoretical in nature, concentrating on the foundations of what can and cannot be done. There is a lot to read, and it probably looks rather complicated. However, if you could somehow instantly read everything the authors write, I think you may think that you could have guessed the highlights anyway (e.g. Theorem 4.3.7: continuous functions can be integrated). From Section 4.1 I have asked questions about the foundations of the integral, but they are the same as questions that could have been asked about one-dimensional integrals, which you may well have been able to answer anyway.
We are skipping Section 4.2.