Classical Theory of Algebraic Numbers (Hardcover, 2, 2001)

From the contents: Unique Factorization Domains, Ideals, Principal Ideal Domains.- Commutative Fields.- Residue Classes.- Quadratic Residues.- Algebraic Integers.- Integral Basis, Discriminant.- The Decomposition of Ideals.- The Norm and Classes of Ideals.- Estimates for the Discriminant.- Units.- Extension of Ideals.- Algebraic Interlude.- The Relative Trace, Norm, Discriminant and Different.- The Decomposition of Prime Ideals in Galois Extensions.- Complements and Miscellaneous Numerical Examples.- Local Methods for Cyclotomic Fields.- Bernoulli Numbers.- Fermat's Last Theorem for Regular Prime Exponents