**Department of Mathematics, University of California, Berkeley, CA 94720-3840, USA**

*Date:* September 23, 2001

Department of Mathematics, University of California, Berkeley, CA 94720-3840, USA

- Introduction
- Plane curves
- Plane curves of low degree
- Rational points on the unit circle
- Elliptic curves and Bezout's theorem
- The addition law on elliptic curves
- Generating all the rational points
- Beyond elliptic curves
- Further reading
- Problems
- About this document ...

Zvezdelina Stankova 2001-09-22