MATH 531: HOMEWORK 3
Due at the beginning of class Thursday, September 22th.
Do Exercises 21, 23, 24, 26, 27, 28 in Chapter 2.
Give Q the p-adic metric as in the previous homework. Prove that the set
U = cfw_x Q : |x|p 1
is both open and closed in Q with

MATH 531: BASIC ANALYSIS I
Instructor: Jayce R. Getz
Coordinates: TuTh 8:30AM-9:45PM Physics 119
OH TuTh 10-11 1-2
Course text: Rudin, Principles of Mathematical Analysis
Office hour: TuTh 10:00-11:00AM or by appointment. On Thursday, students in Math 601

MATH 531: HOMEWORK 2
Due at the beginning of class Thursday, September 15th.
Do Exercises 2, 6, 7, 9, 19 in Chapter 2.
k
Let p be a prime number, and for a rational number apb Q where a, b are integers not
divisible by p and k Z define
k
ap
k
b =p .
p