This is a text for a first-year graduate course in abstract algebra. It covers all the standard topics and has more than enough material for a year course. It is self-contained, but assumes the student has already had an undergraduate modern algebra course. The present volume is a 2003 corrected reprint of the 1974 Holt, Rinehart and Winston volume.
A comparable book is Dummit & Foote’s Abstract Algebra. Despite being thirty years newer and having about twice as many pages, this book has generally the same coverage and approach. Dummit and Foote do have some newer topics such as Gröbner bases. Their greater length comes primarily from a larger number of worked examples (that are also worked out in more detail), more exercises (both books are well-supplied with exercises), and from being more chatty (Hungerford follows the traditional Theorem-Proof exposition, with occasional road signs to tell us where we are going).
Hungerford’s newer book Abstract Algebra: An Introduction is a very different book. It is a good undergraduate introduction to the present book, but only overlaps it by about 50%. The newer book has a much larger number of applications, many of them recent.
Allen Stenger is a math hobbyist and retired software developer. He is an editor of the Missouri Journal of Mathematical Sciences. His mathematical interests are number theory and classical analysis.