Web Publication, 2017. — 164 p.
Notations.
Exercises.
Preliminaries from Commutative Algebra.
Rings of Integers.
Dedekind Domains; Factorization.
The Finiteness of the Class Number.
The Unit Theorem.
Cyclotomic Extensions. Fermat’s Last Theorem.
Absolute Values; Local Fields.
Global Fields.
Solutions to the Exercises.
Two-hour examination.