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...
Clasificación: | QA214 H6.84 |
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Autor principal: | |
Formato: | Libro |
Idioma: | Inglés |
Publicado: |
London :
Springer,
[2006].
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Colección: | Springer undergraduate mathematics series
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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.