Beschreibung:
Like its popular predecessors, this text develops ring theory first by drawing on students' familiarity with integers and polynomials. This unique approach motivates students in studying abstract algebra and helps them understand the power of abstraction.
Numbers, Polynomials, and Factoring. Rings, Domains, and Fields. Ring Homomorphisms and Ideals. Groups. Group Homomorphisms. Topics from Group Theory. Unique Factorization. Constructibility Problems. Vector Spaces and Field Extensions. Galois Theory. Hints and Solutions. Guide to Notation. Index.