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Field Extensions and Galois Theory

Field Extensions and Galois Theory

Field Extensions and Galois Theory

Julio R. Bastida
Roger Lyndon
February 2011
Available
Paperback
9780521173964

    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

    February 2011
    Paperback
    9780521173964
    350 pages
    234 × 156 × 18 mm
    0.49kg
    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.
      Author
    • Julio R. Bastida
    • Roger Lyndon