This stuff is usually rolled into courses called "abstract algebra". If a textbook is called "abstract algebra", it's usually designed for a first year undergra

This stuff is usually rolled into courses called "abstract algebra". If a textbook is called "abstract algebra", it's usually designed for a first year undergraduate. If it's just called "algebra", it's usually aimed at a more mature audience. Herstein and Hungerford are the texts I learned from. This book seems more recent and popular: http://www.amazon.com/Book-Proof-Richard-Hammack/dp/0989472108/ http://www.amazon.com/Book-Proof-Richard-Hammack/dp/09894721... The other big stream of basic undergraduate mathematics is analysis. For that I recommend Spivak's Calculus.