Field Extensions and Galois Theory

This 1984 book makes the general theory of field extensions accessible to any reader with a modest background in groups, rings and vector spaces.

Julio R. Bastida (Author), Roger Lyndon (Foreword by)

9780521173964, Cambridge University Press

Paperback, published 17 February 2011

350 pages
23.4 x 15.6 x 1.8 cm, 0.49 kg

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.

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.

Subject Areas: Algebra [PBF]