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Galois Theory: Lectures Delivered at the University of Notre Dame (Notre Dame Mathematical Lectures 2)

Emil Artin and Arthur N. Milgram
Publisher: 
Dover Publications
Publication Date: 
1998
Number of Pages: 
86
Format: 
Paperback
Price: 
7.95
ISBN: 
0486623424
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee recommends this book for acquisition by undergraduate mathematics libraries.

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I.
Linear Algebra
  A. Fields
  B. Vector Spaces
  C. Homogeneous Linear Equations
  D. Dependence and Independence of Vectors
  E. Non-homogeneous Linear Equations
  F. Determinants
II. Field Theory
  A. Extension fields
  B. Polynomials
  C. Algebraic Elements
  D. Splitting fields
  E. Unique Decomposition of Polynomials into Irreducible Factors
  F. Group Characters
  G. Applications and Examples to Theorem 13
  H. Normal Extensions
  I. Finite Fields
  J. Roots of Unity
  K. Noether Equations
  L. Kimmer's Fields
  M. Simple Extensions
  N. Existence of a Normal Basis
  O. Theorem on natural Irrationalities
III. Applications. By A. N. Milgram
  A. Solvable Groups
  B. Permutation Groups
  C. Solution of Equations by Radicals
  D. The General Equation of Degree n
  E. Solvable Equations of Prime Degree
  F. Ruler and Compass Construction

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