Galois Theory, 2001 Graduate Texts in Mathematics Series, Vol. 204
Langue : Anglais
Auteur : Escofier Jean-Pierre
This book offers the fundamentals of Galois Theory, including a set of copious, well-chosen exercises that form an important part of the presentation. The pace is gentle and incorporates interesting historical material, including aspects on the life of Galois. Computed examples, recent developments, and extensions of results into other related areas round out the presentation.
Historical Aspects of the Resolution of Algebraic Equations.- Resolution of Quadratic, Cubic and Quartic Equations.- Symmetric Polynomials.- Field Extensions.- Constructions with Straightedge and Compass.- K-Homomorphism.- Normal Extensions.- Galois Groups.- Roots of Unity.- Cyclic Extensions.- Solvable Groups.- Solvability of Equations by Radicals.- The Life of Evariste Galois.- Finite Fields.- Separable Extension.- Recent Developments.- Bibliography.- Index.
Date de parution : 09-2012
Ouvrage de 283 p.
15.5x23.5 cm
Épuisé
Date de parution : 12-2000
Ouvrage de 304 p.
15.5x23.5 cm
Épuisé
Thème de Galois Theory :
Mots-clés :
Galois group; Galois theory; algebra; field; finite field; homomorphism
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