Algebraic number theory

1. Unique factorisation in the natural numbers

2. Number fields

3. Fields, discriminants and integral bases

4. Ideals

5. Prime ideals and unique factorisation

6. Imaginary quadratic fields

7. Lattices and geometrical methods

8. Other fields of small degree

9. Cyclotomic fields and the fermat equation

10. Analytic methods

11. The number field sieve

Appendix A: Solutions and hints to exercises.