Field Extensions and Galois Theory

Julio R. Bastida; Roger Lyndon

doi:10.1017/CBO9781107340749

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.

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Field Extensions and Galois Theory

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Contents

Frontmatter
pp i-x

Contents
pp xi-xii

Editor's Statement
pp xiii-xiv

Section Editor's Foreword
pp xv-xvi

Preface
pp xvii-xx

Historical Introduction
pp xxi-xxiv

Prerequisites
pp xxv-xl

Notation
pp xli-lii

Field Extensions and Galois Theory
pp liii-liii

Chapter 1 - Preliminaries on Fields and Polynomials
pp 1-40

Chapter 2 - Algebraic Extensions
pp 41-91

Chapter 3 - Galois Theory
pp 92-211

Chapter 4 - Transcendental Extensions
pp 212-280

References and Selected Bibliography
pp 281-290

Index
pp 291-294

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Field Extensions and Galois Theory

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