Algebraic Numbers

Introduction. Principal ideal domains and unique factorization domains -- Commutative fields -- pt. I. Residue classes -- Quadratic residues -- pt. 2. Algebraic integers -- Integral basis, discriminant -- The decomposition of ideals -- The norm and classes of ideals -- Units and estimations for the discriminant -- Ramification, discriminant and different -- The ramification of prime ideals in Galois extensions -- The fundamental theorem of abelian extensions -- Miscellaneous numerical examples.