Emphasizing active learning, this text not only teaches abstract algebra but also provides a deeper understanding of what mathematics is, how it is done, and how mathematicians think. The book can be used in both rings-first and groups-first abstract algebra courses.
Jonathan K. Hodge, Steven Schlicker, Ted Sundstrom
The Integers. Other Number Systems. Rings. Polynomial Rings. More Ring Theory. Groups. Special Topics. Appendix.