Both of these textbooks are at roughly the same level of sophistication as our course textbook and have many (!) wonderful exercises.
- John Fraleigh, A first course in abstract algebra, Addison-Wesley Pub. Co. 1967.*
- Joseph Gallian, Contemporary Abstract Algebra, Boston, MA: Houghton Mifflin, 2006.*
These books are both much more comprehensive than our course textbook but could definitely be useful for supplementary reading or finding references for the written report component of your final project.
- Michael Artin, Algebra, Prentice Hall, 1991*
- David Dummit and Richard Foote. Abstract Algebra. Englewood Cliffs, N.J.: Prentice Hall, 1991*
Hermann Weyl was one of the most powerful mathematicians of the twentieth century. His book Symmetry investigates the way that symmetry manifests itself in mathematics, the sciences, and especially art. This would be a great resource to look at when you decide on a topic for your oral presentation.
- Hermann Weyl, Symmetry, Princeton University Press, 1952.*
Symmetry is also available free online here.
* On reserve in Mudd