Algebra: Abstract and Concrete Stressing Symmetry

About this book

This introduction to modern or abstract algebra addresses the conventional topics of groups rings and fields with symmetry as a unifying theme while it introduces readers to the active practice of mathematics. Its accessible presentation is designed to teach users to think things through for themselves and change their view of mathematics from a system of rules and procedures to an arena of inquiry. The volume provides plentiful exercises that give users the opportunity to participate and investigate algebraic and geometric ideas which are interesting important and worth thinking about. The volume addresses algebraic themes basic theory of groups and products of groups symmetries of polyhedra actions of groups rings field extensions and solvability and isometry groups. For those interested in a concrete presentation of abstract algebra.