A freely licensed undergraduate textbook covering rings, modules, polynomial rings, finite fields, quadratic reciprocity, Gröbner bases, and Smith normal form, with over 200 exercises.
[KeeGui20] Patrick Keef, David Guichard, An Introduction to Higher Mathemat- ics, 13 May
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An introduction to the algebra of rings and fields
A freely licensed undergraduate textbook covering rings, modules, polynomial rings, finite fields, quadratic reciprocity, Gröbner bases, and Smith normal form, with over 200 exercises.