**Math 3593H Honors Mathematics II Spring Semester 2004
**

Exercises:

This book really needs to be proof-read. Question 5 evidently did not get this treatment.

Seciont 3.7 (pages 375-377): 1, 2, 3*, 4*, 5, 6, 7, 8*.

Extra question: A* Let be defined only on the unit disc . Show that on the on the unit disc this function takes its maximum value on the boundary. Calculate the maximum value and a point at which it takes it.

Incidentally, I do disagree with their statement that the spectral theorem is probably the most important theorem of linear algebra, at the top of page 372. Of the linear algebra we have done I can think of at least two statements which I consider more important. Of linear algebra we have not done, I consider both the Cayley-Hamilton theorem and the Jordan canonical form more important!

The difference is that kids won't eat broccoli.