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

The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields, this book starts from the basics and reaches such a

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

This monograph provides a systematic treatment of the Brauer group of schemes, from the foundational work of Grothendieck to recent applications in arithmetic a

This open access textbook presents a comprehensive treatment of the arithmetic theory of quaternion algebras and orders, a subject with applications in diverse