Field Extensions and Galois Theory
Originally published in 1984, the principal objective of this book is to make the general theory of field extensions accessible to any reader with a modest background in groups, rings and vector spaces. Galois theory is generally regarded as one of the central and most beautiful parts of algebra and its creation marked the culmination of investigations by generations of mathematicians on one of the oldest problems in algebra, the solvability of polynomial equations by radicals.
Product details
July 2013Adobe eBook Reader
9781107266162
0 pages
0kg
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- Editor's statement
- Section editor's foreword
- Preface
- Historical introduction
- Prerequisites
- Notation
- 1. Preliminaries on fields and polynomials
- 2. Algebraic extensions
- 3. Galois theory
- 4. Transcendental Extensions
- References and selected bibliography
- Index.