Galois Theory /

Mostrar otras versiones (1)

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...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Rotman, Joseph
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer US, 1990.
Colección:Universitext.
Temas:
Mathematics.
Group theory.
Mathematics
Mathématiques.
Théorie des groupes.
Teoría de grupos
Group theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

Ejemplares similares