Algebraic Theory of Numbers: Translated from the French by Allan J. Silberger

Algebraic number theory introduces students not only to new algebraic notions but also to related concepts: groups, rings, fields, ideals, quotient rings and quotient fields, homomorphisms and isomorphisms, modules, and vector spaces. Author Pierre Samuel notes that students benefit from their studies of algebraic number theory by encountering many concepts fundamental to other branches of mathematics—algebraic geometry, in particular.
This book assumes a knowledge of basic algebra but suppl...