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Fields and Galois theory /

This book provides a gentle introduction to Galois theory suitable for third- and fourth-year undergraduates and beginning graduates. The approach is unashamedly unhistorical: it uses the language and techniques of abstract algebra to express complex arguments in contemporary terms. Thus the insolub...

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Detalles Bibliográficos
Clasificación:QA214 H6.84
Autor principal: Howie, John M. (John Mackintosh) (autor)
Formato: Libro
Idioma:Inglés
Publicado: London : Springer, [2006].
Colección:Springer undergraduate mathematics series
Temas:
Tabla de Contenidos:
  • 1. Rings and fields.
  • 2. Integral domains and polynomials.
  • 3. Field extensions.
  • 4. Applications to geometry.
  • 5. Splitting fields.
  • 6. Finite fields.
  • 7. Galois group.
  • 8. Equations and groups.
  • 9. Some group theory.
  • 10. Groups and equations.
  • 11. Regular polygons.
  • 12. Solutions.