Galois Theory and Its Algebraic Background
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portes grátis
Galois Theory and Its Algebraic Background
Garling, D. J. H.
Cambridge University Press
07/2021
204
Dura
Inglês
9781108838924
15 a 20 dias
470
Descrição não disponível.
Part I. The Algebraic Background: 1. Groups; 2. Integral domains; 3. Vector spaces and determinants; Part II. The Theory of Fields, and Galois Theory: 4. Field extensions; 5. Ruler and compass constructions; 6. Splitting fields; 7. Normal extensions; 8. Separability; 9. The fundamental theorem of Galois theory; 10. The discriminant; 11. Cyclotomic polynomials and cyclic extensions; 12. Solution by radicals; 13. Regular polygons; 14. Polynomials of low degree; 15. Finite fields; 16. Quintic polynomials; 17. Further theory; 18. The algebraic closure of a field; 19. Transcendental elements and algebraic independence; 20. Generic and symmetric polynomials; Appendix: the axiom of choice; Index.
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Part I. The Algebraic Background: 1. Groups; 2. Integral domains; 3. Vector spaces and determinants; Part II. The Theory of Fields, and Galois Theory: 4. Field extensions; 5. Ruler and compass constructions; 6. Splitting fields; 7. Normal extensions; 8. Separability; 9. The fundamental theorem of Galois theory; 10. The discriminant; 11. Cyclotomic polynomials and cyclic extensions; 12. Solution by radicals; 13. Regular polygons; 14. Polynomials of low degree; 15. Finite fields; 16. Quintic polynomials; 17. Further theory; 18. The algebraic closure of a field; 19. Transcendental elements and algebraic independence; 20. Generic and symmetric polynomials; Appendix: the axiom of choice; Index.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
