A First Course in Abstract Algebra: Rings, Groups and Fields, Second Edition, 2nd Edition (e-Book) book cover

A First Course in Abstract Algebra

Rings, Groups and Fields, Second Edition, 2nd Edition

By Marlow Anderson, Todd Feil

Chapman and Hall/CRC

696 pages

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eBook (VitalSource) : 9780429129070
pub: 2005-01-27
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Description

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 something students know and abstracting from there

Table of Contents

Numbers, Polynomials, And Factoring. Rings, Domains, and Fields. Rings. Unique Factorization. Ring Homomorphisms and Ideals. Group Homomorphisms and Permutations. Constructability Problems. Vector Spaces and Field Extensions. Galois Theory.

Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
MAT002000
MATHEMATICS / Algebra / General