内容

目次

Introduction; 1. Integral domains; 2. Euclidean domains; 3. Noetheriandomains; 4. Elements integral over a domain; 5. Algebraic extensions of afield; 6. Algebraic number fields; 7. Integral bases; 8. Dedekind domains; 9.Norms of ideals; 10. Decomposing primes in a number field; 11. Units in realquadratic fields; 12. The ideal class group; 13. Dirichlet's unit theorem;14. Applications to diophantine equations.