Number Theory – Mathematics 0420
Brown University – Spring, 2010
Professor Joseph Silverman
Text 
A Friendly Introduction to Number Theory (3rd edition)
by Joseph H. Silverman, PrenticeHall, ISBN 0131861379 Click here to download Chapters 1–3. Click here to download the extra material for Chapter 8. Click here to download the new versions of Chapters 23–24. 

Office  Mathematics Department, Kassar House, Room 202 
Phone  8631124 
jhs@math.brown.edu  
Web Site  www.math.brown.edu/~jhs/MA0042/MA0042HomePage.html 
Office Hours 
Monday 2:30–3:30pm and Friday 9:00–9:50am,
and by appointment. (Or just drop by. I tend to be in on MWF and not on TTh.) Reading Period and Exam Period Office Hours No class and no office hours Mon May 3 – Fri May 7 Review Session: Mon May 10, 11:00–11:50am, Wilson 101 Office Hour: Mon May 10, 2:30–3:30pm, Kassar 202 Office Hour: Thurs May 13, 1:00–2:00pm, Kassar 202 
Course Time  MWF 11:00–11:50 (D Hour) 
Course Location  Wilson Hall 101 
Recitation/ Homework Sessions  Mondays, 7:00–8:00pm, BarusHolley 141 
Homework 
I will keep a list of reading and homework assignments on
the following web page:
Click here to go to the Math 0420 Homework Page. 
Problem Sets 
NOTE:
The problem sets are challenging. Don't leave them until
the last minute! We will be moving rapidly. In order to learn the
material, it is very important to
DO THE HOMEWORK WHEN IT IS ASSIGNED.
RULES: Homework must be stapled. All problems must be clearly labeled. Late homework will not be accepted under any circumstances. (One or two missing homeworks is unlikely to affect your grade, and it's an imposition on the grader to have to go back and grade late homeworks.) 
Note on Using Computers in Math 0420  Computers are a useful tool that can be used to generate data for making conjectures and to perform computations that would be tedious to do by hand. However, they are not a replacement for understanding. So for example, you might use a computer to compute the greatest common divisor of two large numbers, but you should be sure that you understand how the computer is doing the computation. 
Computer Package for Math 0420 
I tend to use a computer program called PARIGP to do
number theory calculations. The good news about PARI is that it is free
and very fast and powerful at doing number theoretic computations.
The bad news is that it's not tremendouly user friendly.
If you're computer savvy, you can download PARI here:
Click here to go to the PARI home page. Another way to use PARI to do short calculations is to use the SAGE web site. You'll need to create a (free) account. Then you'll be able to type one or more PARI commands and type ShiftReturn to perform the computation.
As an alternative, I have written a web page number theory calculator
that you can use for Math 0420. It is not as versatile as PARI and
it can only handle numbers up to about 16 digits, (and it does not
warn you when the numbers get too big, it just gives the wrong answer).
However, it it is very easy to use.

Dates to Remember: There will be two inclass hour exams and a final exam.
Hour Exam #1 
Friday, February 26 

Hour Exam #2 
Wednesday, April 7 

Final Exam 
Saturday, May 15 
Time 2:005:00pm 
Grading: The course grade will be determined on the following basis:
Problem Sets 
20% 
Hour Exams (22.5% each) 
45% 
Final Exam 
35% 
Syllabus (Tentative):