You are here

Introduction to Field Theory

Emil Artin and Arthur N. Milgram
Publisher: 
Dover Publications
Publication Date: 
1966
Number of Pages: 
82
Format: 
Paperback
Edition: 
2
Price: 
7.95
ISBN: 
486623424
Category: 
General
We do not plan to review this book.
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

Dummy View - NOT TO BE DELETED