Galois Theory and Applications

The book provides exercises and problems with solutions in Galois Theory and its applications, which include finite fields, permutation polynomials, derivations and algebraic number theory.

It will be useful to the audience below:
Students who want to learn the material around the arithmetic of polynomials and field extensions.Teachers who want to work on problems with their students.Researchers who require a reference book. The book contains some useful results generally known by specialists, but for which a detailed proof is not always in the literature.Contents:Polynomials, Fields, GeneralitiesAlgebraic Extention, Algebraic ClosureSeparability, InseparabilityNormal ExtensionsGalois Extensions, Galois GroupsFinite FieldsPermutation PolynomialsTranscendental Extensions, Linearly Disjoint Extensions, Luroth's TheoremMultivariate PolynomialsIntegral Elements, Algebraic Number TheoryDerivations
Readership: Undergraduate and graduate students in Galois group theory.
Keywords:Galois Theory;Number Theory;Finite Fields;Permutation Polynomials;Derivations;Polynomials;Field ExtensionsReview:Key Features:There is no competing book to the present one