This book offers a modern exposition of the arithmetical properties of local fields using explicit and constructive tools and methods. It has been ten years sin
This classic book, originally published in 1968, is based on notes of a year-long seminar the authors ran at Princeton University. The primary goal of the book
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
The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory. This text ado
Hopf algebras have been shown to play a natural role in studying questions of integral module structure in extensions of local or global fields. This book surve