This book is intended to complement my Elements of Algebra, and it is similarly motivated by the problem of solving polynomial equations.
However, it is independent of the algebra book, and probably easier. In
Elements of Algebra we sought solution by radicals, and this led to the
concepts of fields and groups and their fusion in the celebrated theory of
Galois. In the present book we seek integer solutions, and this leads to the
concepts of rings and ideals which merge in the equally celebrated theory
of ideals due to Kummer and Dedekind.