1. Review of elementary number theory -- 2. Arithmetic functions I -- 3. The floor function -- 4. Summation formulas -- 5. Arithmetic functions II -- 6. Elementary results on the distribution of prime numbers -- 7. Characters and dirichlet's theorem -- 8. The Riemann zeta function -- 9. Prime number theorem and some extensions -- 10. Hints for selected exercises -- Bibliography -- Subject index -- Name index.