Classical Theory of Algebraic Numbers

The book offers a comprehensive exploration of algebraic numbers, tracing their development from Gauss's binary quadratic forms to Kummer's ideals and cyclotomic fields. It features a clear exposition of classical theory, supported by numerous exercises and numerical examples. The structure includes sections on residue classes, algebraic integers, and Kummer's theory, culminating in analytical methods like Dirichlet's Theorem. This resource serves as a solid foundation for understanding advanced topics in diophantine equations and arithmetic algebraic geometry.