Groups: Presentations and Representations by Christopher Cooper
Publisher: Macquarie University 2008
Number of pages: 203
This is a first course on group theory but is more suitable to a third year student than a first year one. It attempts to motivate group theory with many illustrative examples such as shuffling of cards, bell ringing and permutation puzzles. As well as the usual introductory theory there's an elementary introduction to representation theory, to the Todd-Coxeter algorithm and to free groups.
Mathematics Abstract Algebra Group Theory Order Lattices Representation Theory