Abstract Algebra Done Concretely
by Donu Arapura
Publisher: Purdue University 2004
Number of pages: 103
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.
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by Edwin H. Connell
Covers abstract algebra in general, with the focus on linear algebra, intended for students in mathematics, physical sciences, and computer science. The presentation is compact, but still somewhat informal. The proofs of many theorems are omitted.
by Peter J. Cameron - Queen Mary, University of London
These notes are intended for an introduction to algebra. The text is intended as a first introduction to the ideas of proof and abstraction in mathematics, as well as to the concepts of abstract algebra (groups and rings).
by Marcel B. Finan - Arkansas Tech University
Contents: Concept of a Mapping; Composition; Binary Operations; Composition of Mappings as a Binary Operation; Definition and Examples of Groups; Permutation Groups; Subgroups; Symmetry Groups; Equivalence Relations; The Division Algorithm; etc.
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.