**Math 231A Spring 2014**

This semester we will be learning some measure theory from the book Real Analysis for Graduate Students by Richard F. Bass. We will also look at some applications of analysis to analytic number theory.

**Homework #1 Due March 5, 2014.**Do 5 problems from Real Analysis for Graduate Students/ Exercise 2.1-2.8, 3.1-3.10, 4.1-4.17. Also do the following problem: Let

**A**be the set of rational numbers between 0 and 1. Let {I_n} be a finite collection of open intervals covering

**A**. Show that sum of the lengths of the I_n's is greater than or equal to 1.