Galois Theory Lectures Delivered at the University of Notre Dame by Emil Artin (Notre Dame Mathematical Lectures, Number 2)

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  • Format: Paperback
  • Copyright: 7/10/1997
  • Publisher: Dover Publications
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Clearly presented elements of one of the most penetrating concepts in modern mathematics include discussions of fields, vector spaces, homogeneous linear equations, extension fields, polynomials, algebraic elements, as well as sections on solvable groups, permutation groups, solution of equations by radicals, and other concepts. 1966 edition.

Table of Contents

Linear Algebra
Vector Spaces
Homogeneous Linear Equations
Dependence and Independence of Vectors
Non-homogeneous Linear Equations
Field Theory
Extension fields
Algebraic Elements
Splitting fields
Unique Decomposition of Polynomials into Irreducible Factors
Group Characters
Applications and Examples to Theorem 13
Normal Extensions
Finite Fields
Roots of Unity
Noether Equations
Kimmer's Fields
Simple Extensions
Existence of a Normal Basis
Theorem on natural Irrationalities
Solvable Groups
Permutation Groups
Solution of Equations by Radicals
The General Equation of Degree n
Solvable Equations of Prime Degree
Ruler and Compass Construction
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