Homework is from
Text: "Abstract Algebra" by D. S. Dummit & R. M. Foote. 2nd
edition Published by John Wiley & Sons, 1999. or
"p-adic Numbers, p-adic Analysis, and Zeta-Functions" by
Neal Koblitz. 2nd
edition. Published by Springer-Verlag, 1984.
Please place your HW in my mail box at the Math dept by Friday noon.
- Due Friday September 7:
From D&F: section 7.2: #3 and 4.
section 15.1: #1,2,4,14 and 17.
- Due Friday September 14:
From D&F:
Section 15.1: 11,
Section 15.2: 3, 7,8,10,15.
- Due Friday September 21:
From Koblitz:
Section 1.2 (page 6-7): 1,2,3,5,7,8,9, 20 and one more
exercise:
Show that norms are equivalent (use the book def for
equivalence) iff they determine the same
topology on the field.
- Due Friday September 28:
From Koblitz:
Section 1.2 (page 6-7): 4, 11(i,ii,iii), 12, 13, 19.
From D&F:
Section 7.1: 26, 27 and
Section 15.4: 13, 14.
- Due Wednesday October 24:
From Koblitz:
Section 1.5 (page 65-66): 14.
Section 3.2 (page 65-66): 1,2,5,6,7,8.
-
THERE WILL BE A TEST ON 10/24.
- No HW for 11/9.
- Due Monday November 17:
From Koblitz:
Section IV (page 83-86): 1(i,ii), 2, 3, 5 and 17.
- Due Monday November 24:
From Koblitz:
Section 4.4 (page 107-108): 2(a,b), 4(i,iii,,iv), 5, 10.
Section 5.1 (page 114): 1.
I will be leaving to
Bogota
on Tuesday morning
(12/04/01) and will return on Sunday (12/16/01)
afternoon. In case you have any mathematical or
other problems please dicuss them with me before my trip
or talk to
Alexei Kolesnikov while I am out
of town. I suspect that I will not have reliable
access to email while away. I apologize for leaving at the
end of the semester, but the conference is too important
for me not to attend.