Galois Theory by Emil Artin

Galois Theory by Emil Artin

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.

Emil Artin (1898-1962), a famous mathematician of the twentieth century, taught at the University of Hamburg from 1923 until 1937. He taught at Notre Dame (1937-38), Indiana University (1938-46), and Princeton (1946-58) after relocating to the United States, before returning to Hamburg in 1958. His Galois Theory is also published by Dover.