Introduction To Abstract Algebra, Fourth Edition

Nicholson (mathematics and statistics, U. of Calgary, Canada) updates the 2007 edition of his self-contained introduction to the basic structures of abstract algebra: groups, rings, and fields. It is designed for a two-semester undergraduate course or one-semester senior or graduate course, but could also be used for self-study. He begins with a number of concrete examples of abstract thinking, such as number theory, integers modulo n, and permutations, so students can perform computations almost immediately. Other topics include polynomials, factorization in integral domains, p-groups and the Sylow theorems, Galois theory, and finiteness conditions for rings and modules. Annotation Ac2012 Book News, Inc., Portland, OR (booknews.com)

W. KEITH NICHOLSON, PhD, is Professor in the Department of Mathematics and Statistics at the University of Calgary, Canada. He has published extensively in his areas of research interest, which include clean rings, morphic rings and modules, and quasi-morphic rings. Dr. Nicholson is the coauthor of Modern Algebra with Applications, Second Edition, also published by Wiley.