Modern algebra

Designed for a single term of upper-level undergraduate study, this textbook can support courses titled Modern Algebra, Abstract Algebra, Algebraic Structures, or Groups, Rings and Fields.

The author pursues two aims: acquainting readers with the principal families of algebraic structures, and strengthening their capacity to reason with abstract ideas. The first six chapters cover the essential material, while the remaining chapters can be arranged to suit each instructor's plans.

Groups are taught before rings, a sequencing decision the author leaves to individual teachers. Most students enrolled are mathematics majors, though engineering and computer science majors are also common in the class.