This graduate textbook offers an introduction to modern methods in number theory. It gives a complete account of the main results of class field theory as well

A self-contained exposition of local class field theory for students in advanced algebra.

This book offers a self-contained exposition of local class field theory, serving as a second course on Galois theory. It opens with a discussion of several fun

Translation of the French Edition

This is an updated English translation of Cohomologie Galoisienne, published more than thirty years ago as one of the very first versions of Lecture Notes in Ma