Galois Theory

<p>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.<br>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.<br>Dr. Milgram's section on applications discusses solvable groups permutation groups solution of equations by radicals and other concepts.</p>