Algebra with Galois Theory (Courant Lecture Notes in Mathematics)

The present text was first published in 1947 by the Courant Institute of Mathematical Sciences of New York University. Published under the title Modern Higher Algebra. Galois Theory, it was based on lectures by Emil Artin and written by Albert A. Blank. This volume became one of the most popular in the series of lecture notes published by Courant. Many instructors used the book as a textbook, and it was popular among students as a supplementary text as well as a primary textbook. Because of its popularity, Courant has republished the volume under the new title Algebra with Galois Theory. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University. Cover 1 General editor information 3 Title Page 4 Contents 6 Editors’ Note 8 Groups 10 Rings and fields 20 Polynomials. Factorization into primes. Ideals 30 Solution of the general equation of nth degree. Residue classes. Extension fields. Isomorphisms 42 Galois theory 58 Polynomials with integral coefficients 90 The theory of equations 100 Back Cover 137 First published in 1947 by the Courant Institute of Mathematical Sciences of New York University under the title ""Modern Higher Algebra Galois Theory"", this title is based on lectures by Emil Artin and written by Albert A Blank.