TY  - BOOK
AU  - Artin, Emil 
AU  - Edited by Milgram, Arthur N.
TI  - Galois theory
SN  - 9780486623429
AV  - QA1 
PY  - 2018///]
CY  - New York
PB  - Dover Pub.
N1  - Chapter I: Linear Algebra 

Chapter II: Field Theory

Chapter III: Applications
N2  - Courier Corporation, 1 Jan 1998 - Mathematics - 82 pages

In the nineteenth century, French mathematician Evariste Galois developed the Galois theory of groups-one of the most penetrating concepts in modem mathematics. The elements of the theory are clearly presented in this second, revised edition of a volume of lectures delivered by noted mathematician Emil Artin. The book has been edited by Dr. Arthur N. Milgram, who has also supplemented the work with a Section on Applications.The first section deals with linear algebra, including fields, vector spaces, homogeneous linear equations, determinants, and other topics. A second section considers extension fields, polynomials, algebraic elements, splitting fields, group characters, normal extensions, roots of unity, Noether equations, Jummer's fields, and more.Dr. Milgram's section on applications discusses solvable groups, permutation groups, solution of equations by radicals, and other concepts
ER  -