Abstract Algebra (Pure and Applied Undergraduate Texts, 55)

In a textbook on abstract algebra, Silverman explains algebraic structures in mathematics, which he explains as a set of objects and a set of rules for manipulating the objects. He focuses on five types of objects: groups, rings, vector spaces, fields, and modules. He explains how all of the constructions fit into an axiomatic framework, and emphasizes the importance of studying those maps that preserve the underlying algebraic structure. The first half of the book is for a first introduction to abstract algebra, and requires only a course in linear algebra. The second half is more advanced, and suitable for a graduate introductory course. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)