Algebra (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

A one-of-a-kind introduction to abstract algebra. Does the world need another algebra book? Yes, if it is as clearly written and succinctly presented as this one. Addressing the needs of students at the senior/graduate level as well as mathematicians in the market for a comprehensive reference, Algebra combines an exceptionally accessible discussion of the basics with a remarkably thorough and well-organized treatment. Readers can pick and choose from a broad array of important topics, learn how various concepts relate to one another, and acquire a sense of the scope and thrust of contemporary algebra as well as its practical application. Under major headings devoted to groups, rings, fields, rings and modules, and other structures such as universal algebras, categories, and lattices, this unique resource: Features a careful selection of important examples. Incorporates exercises that help develop research skills. Shows how results in one area have applications in another. Promotes conceptual understanding of the field as a whole. Provides appendices on numbers and set theory.