A classical invitation to algebraic numbers and class fields Book

Contents: Preliminaries: Introductory Remarks on Quadratic Forms. Algebraic Background. Quadratic Euclidean Rings. Congruence Classes. Polynomial Rings. Dedekind Domains. Extensions of Dedekind Domains. Rational and Elliptic Functions.- Ideal Structure in Number Fields: Basis and Discriminant. Prime Factorization. Units. Geometry of Numbers. Finite Determination of Class Number.- Introduction to Class Field Theory: Quadratic Forms, Rings and Genera. Ray Class Structure and Fields, Hilbert Class Fields. Hilbert Sequences. Discriminant and Conductor. The Artin Isomorphism. The Zeta-Function.- Bibliography.- Appendices.- Subject Matter Index.