Galois theory
Since 1973, Galois Theory has been educating undergraduate students on Galois groups and classical Galois theory. In Galois Theory, Fourth Edition, mathematician and popular science author Ian Stewart updates this well-established textbook for today’s algebra students.
| Otros Autores: | |
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| Formato: | Libro electrónico |
| Idioma: | Inglés |
| Publicado: |
Boca Raton, FL :
Chapman and Hall/CRC, an imprint of Taylor and Francis
2015.
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| Edición: | 4th ed |
| Materias: | |
| Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009629697206719 |
Tabla de Contenidos:
- Front Cover; Contents; Acknowledgements; Preface to the First Edition; Preface to the Second Edition; Preface to the Third Edition; Preface to the Fourth Edition; Historical Introduction; 1. Classical Algebra; 2. The Fundamental Theorem of Algebra; 3. Factorisation of Polynomials; 4. Field Extensions; 5. Simple Extensions; 6. The Degree of an Extension; 7. Ruler-and-Compass Constructions; 8. The Idea Behind Galois Theory; 9. Normality and Separability; 10. Counting Principles; 11. Field Automorphisms; 12. The Galois Correspondence; 13. A Worked Example; 14. Solubility and Simplicity
- 15. Solution by Radicals16. Abstract Rings and Fields; 17. Abstract Field Extensions; 18. The General Polynomial Equation; 19. Finite Fields; 20. Regular Polygons; 21. Circle Division; 22. Calculating Galois Groups; 23. Algebraically Closed Fields; 24. Transcendental Numbers; 25. What Did Galois Do or Know?; References
