Green J.A. Sets and Groups: A First Course in Algebra

Routledge & Kegan Paul, 1988. — 258 Pages. — ISBN: 9789401160971
The first three chapters of this book describe sets, relations and
mappings; these are the basic ideas in terms of which most modern
mathematics can be expressed. They are certainly 'abstract' ideas,
but they are not difficult to grasp, because they come from notions
which most people are used to from everyday experience. What is
characteristic of modern mathematics is that it uses these few ideas
over and over again, to build up theories which cover a great
variety of situations. The rest of the book is an introduction to one
such theory, namely the theory of groupsSets
Equivalence relations
Maps
Groups
Subgroups
Cosets
Homomorphisms
Rings and fields
Vector spaces and matrices