Algebra in Action : A Course in Groups, Rings, and Fields (Hardcover) (Shahriar Shahriari)

This text introduces undergraduates with no knowledge of the subject to abstract algebra, covering group theory, ring theory, and fields and Galois theory. It introduces group actions early, and includes Hasse diagrams of posets and homomorphism diagrams, while introducing normal subgroups, quotient groups, and homomorphisms late. Exercises and mini-projects are provided, with some hints and short answers, as well as full solutions to 100 problems. Lattice diagrams demonstrate results and proof techniques. Annotation ©2017 Ringgold, Inc., Portland, OR (protoview.com)