Numbers, Polynomials, and Factoring The Natural Numbers The Integers Modular Arithmetic Polynomials with Rational CoefficientsFactorization of PolynomialsSection I in a NutshellRings, Domains, and Fields Rings Subrings and Unity Integral Domains and Fields Ideals Polynomials over a Field Section II
A First Course in Abstract Algebra: Rings, Groups, and Fields, Third Edition
โ Scribed by Marlow Anderson (Author); Todd Feil (Author)
- Publisher
- Chapman and Hall/CRC
- Year
- 2014
- Leaves
- 547
- Edition
- 3
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Like its popular predecessors, A First Course in Abstract Algebra: Rings, Groups, and Fields, Third Edition develops ring theory first by drawing on students` familiarity with integers and polynomials. This unique approach motivates students in the study of abstract algebra and helps them understand the power of abstraction. The authors introduce g
โฆ Table of Contents
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.
โฆ Subjects
Mathematics & Statistics;Advanced Mathematics;Algebra
๐ SIMILAR VOLUMES
Most abstract algebra texts begin with groups, then proceed to rings and fields. While groups are the logically simplest of the structures, the motivation for studying groups can be somewhat lost on students approaching abstract algebra for the first time. To engage and motivate them, starting with
Most abstract algebra texts begin with groups, then proceed to rings and fields. While groups are the logically simplest of the structures, the motivation for studying groups can be somewhat lost on students approaching abstract algebra for the first time. To engage and motivate them, starting with
A well known book in introductory abstract algebra at undergraduate level. The book has a solution manual available. That makes is ideal for self-study.