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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
Paperback
9780521173964

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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

    April 1985
    Hardback
    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.
      Author
    • Julio R. Bastida
    • Roger Lyndon