GALOIS THEORY: LECTURES DELIVERED AT THE UNIVERSITY

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.