by F. Oggier
Publisher: Nanyang Technological University 2010
Number of pages: 129
Contents: Group Theory (Groups and subgroups, The isomorphism theorems); Ring Theory (Rings, ideals and homomorphisms); Field Theory (Field extension and minimal polynomial); Galois Theory (Galois group and fixed fields).
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by W. Edwin Clark - University of South Florida
This book is written as a one semester introduction to abstract algebra. Applications of abstract algebra are not discussed. A certain amount of mathematical maturity, some familiarity with basic set theory, calculus, and linear algebra, is assumed.
by Donu Arapura - Purdue University
This book covers basic abstract algebra. Rather than spending a lot of time on axiomatics and serious theorem proving, the author wanted to spend more time with examples, simple applications and with making scenic detours.
by Justin Hill, Chris Thron - Texas A&M University
This book is our best effort at making Abstract Algebra as down-to earth as possible. We use concrete mathematical structures such as the complex numbers, integers mod n, symmetries to introduce some of the beautifully general ideas of group theory.
by Anthony W. Knapp
Contents: Preliminaries about the Integers, Polynomials, and Matrices; Vector Spaces over Q, R, and C; Inner-Product Spaces; Groups and Group Actions; Theory of a Single Linear Transformation; Multilinear Algebra; Advanced Group Theory; etc.