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Field Extensions and Galois Theory

Field Extensions and Galois Theory

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: April 1985
  • availability: Available
  • format: Hardback
  • isbn: 9780521302425

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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.

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    Product details

    • Date Published: April 1985
    • format: Hardback
    • isbn: 9780521302425
    • length: 350 pages
    • dimensions: 228 x 152 x 21 mm
    • weight: 0.652kg
    • availability: 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

    Foreword

    Roger Lyndon

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