This material is written at the graduate level. It is designed for use in beginning algebra courses that start with fundamental principles but advance faster than courses taken at the undergraduate level. It uses presentations and proofs that are understandable by students, and it gives a great deal of real-world relevant examples.
The text is peppered with activities that clarify complex topics as they are introduced. After each chapter, additional problems that range significantly in difficulty level are provided. Groups, rings, fields, Galois theory, modules, and the structure of rings and algebras are some topics covered in this course. Additional topics include infinite Abelian groups, extensions of transcendental fields, representations and characteristics of a finite group, Galois groups, and other areas.
Based on many years of teaching experience, this stand-alone therapy gives abstract ideas a fresh perspective and a new lease on life.