Abstract algebra with applications.

摘要

Any experienced teacher of a classical field of mathematics who wishes to publish a new textbook in such an area has to figure out how to present a topic with a long tradition to a new generation of readers. One approach is to present examples that show how the topic of interest is used in practice; Audrey Terras follows this idea in her book. Thus, teachers of abstract algebra can use this work as bait to convince students to study the field, even if they are not planning to pursue a mathematical career.