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Galois Theory

  • Joseph Rotman

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Galois Theory

    1. Joseph Rotman
      Pages 1-7
    2. Joseph Rotman
      Pages 7-9
    3. Joseph Rotman
      Pages 10-11
    4. Joseph Rotman
      Pages 12-17
    5. Joseph Rotman
      Pages 17-20
    6. Joseph Rotman
      Pages 20-22
    7. Joseph Rotman
      Pages 22-25
    8. Joseph Rotman
      Pages 25-28
    9. Joseph Rotman
      Pages 28-33
    10. Joseph Rotman
      Pages 33-35
    11. Joseph Rotman
      Pages 35-38
    12. Joseph Rotman
      Pages 38-41
    13. Joseph Rotman
      Pages 41-42
    14. Joseph Rotman
      Pages 43-46
    15. Joseph Rotman
      Pages 46-48
    16. Joseph Rotman
      Pages 48-50
    17. Joseph Rotman
      Pages 50-53
    18. Joseph Rotman
      Pages 54-56
    19. Joseph Rotman
      Pages 56-58
    20. Joseph Rotman
      Pages 64-65
  3. Back Matter
    Pages 67-108

About this book

Introduction

J***VERKAUFSKATEGORIE*** 0 e This text offers a clear, efficient exposition of Galois Theory with exercises and complete proofs. Topics include: Cardano's formulas; the Fundamental Theorem; Galois' Great Theorem (solvability for radicals of a polynomial is equivalent to solvability of its Galois Group); and computation of Galois group of cubics and quartics. There are appendices on group theory and on ruler-compass constructions. Developed on the basis of a second-semester graduate algebra course, following a course on group theory, this book will provide a concise introduction to Galois Theory suitable for graduate students, either as a text for a course or for study outside the classroom.

Keywords

Galois group Galois theory Group theory Maxima algebra

Authors and affiliations

  • Joseph Rotman
    • 1
  1. 1.Department of MathematicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-0367-1
  • Copyright Information Springer-Verlag New York 1990
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-97305-0
  • Online ISBN 978-1-4684-0367-1
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • Buy this book on publisher's site