Tabla de contenidos provista por Syndetics

• Prerequisites
• 1.1 Group theory
• 1.2 Permutations and permutation groups
• 1.3 Fields
• 1.4 Rings and polynomials
• 1.5 Some elementary theory of equations
• 1.6 Vector spaces Fields
• 2.1 Degree of an algebraic extension
• 2.2 Isomorphisms of fields
• 2.3 Automorphisms of fields
• 2.4 Fixed fields Fundamental theorem
• 3.1 Splitting fields
• 3.2 Normal extensions and groups of automorphisms
• 3.3 Conjugate fields and elements
• 3.4 Fundamental theorem Applications
• 4.1 Solvability of equations
• 4.2 Solvable equations have solvable groups
• 4.3 General equation of degree $n$
• 4.4 Roots of unity and cyclic equations
• 4.5 How to solve a solvable equation
• 4.6 Ruler-and-compass constructions
• 4.7 Lagrange's theorem
• 4.8 Resolvent of a polynomial
• 4.9 Calculation of the Galois group
• 4.10 Matrix solutions of equations
• 4.11 Finite fields
• 4.12 More applications
• Bibliography
• Index