** About the book** This third edition of the standard text for modern algebra courses, teaches students as much about groups, rings and fields as possible in a first abstract algebra course with a minimum of introductory material on set theory. New chapters on isomorphism theorems, applications of G-sets to counting, free abelian groups, and a proof of the Jordan-Hoelder theorem have been added. Also included are sections of group action on a set, applications to burnside counting and the Sylow theorems with complete proofs. |