While introducing students to the active practice of mathematics, this introduction to modern or abstract algebra covers the traditional themes of groups, rings, and fields with symmetry as a unifying theme.
Its approachable format is intended to encourage people to work through issues independently and shift their perspective of mathematics from one of rules and processes to one of space for exploration.
Numerous tasks are included in the book to allow readers to interact and explore intriguing, significant, and worthwhile algebraic and geometric concepts. The book covers algebraic topics as well as the fundamental theory of groups and their products, polyhedral symmetries, group actions, rings, field extensions, and solvability and isometry groups. For those seeking a practical explanation of abstract algebra.