Field Extensions and Galois Theory
Field Extensions and Galois Theory
Roger Lyndon
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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
December 1984Hardback
9780521302425
350 pages
228 × 152 × 21 mm
0.652kg
Available
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.
