Galois Theory
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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.
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.
