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

This is the first detailed elementary introduction to Galois cohomology and its applications. The introductory section is self-contained and provides the basic

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

The first comprehensive modern introduction to central simple algebra starting from the basics and reaching advanced results.

This second edition is a corrected and extended version of the first. It is a textbook for students, as well as a reference book for the working mathematician,