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Galois Theory /

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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...

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Bibliographic Details
Main Author: Rotman, Joseph
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: New York, NY : Springer US, 1990.
Series:Universitext, 0172-5939
Subjects:
Mathematics.
Group theory.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • J***VERKAUFSKATEGORIE*** 0 e Contents: Rings
  • Homomorphisms and Ideas
  • Quotient Rings
  • Polynomial Rings over Fields
  • Prime Ideas and Maximal Ideals
  • Finite Fields
  • Irreducible Polynomials
  • Classical Formulas
  • Splitting Fields
  • Solvability by Radicals
  • The Galois Group
  • Primitive Roots of Unity
  • Insolvability of the Quintic
  • Independence of Characters
  • Galois Extensions
  • Fundamental Theorem of Galois Theory
  • Applications
  • Galois' Great Theorem
  • Discriminants
  • Galois Group of Quadratics, Cubics, and Quartics
  • Epilogue
  • Appendices
  • References
  • Index.