The Theory of Classical Valuations

The book delves into Kummer's innovative "local" methods in the study of cyclotomic fields, pivotal for proving his significant theorem related to Fermat's Last Theorem. It explores the concept of "ideal numbers" and their divisibility, particularly focusing on the lambda value defined as 1 - psi, where psi represents a primitive root. This work not only sheds light on Kummer's contributions to number theory but also highlights the intricate relationships within algebraic structures.