Integers, Polynomials, and Rings: A Course in Algebra

This book began life as a set of notes that I developed for a course at the University of Washington entitled Introduction to Modern Algebra for Tea- ers. Originally conceived as a text for future secondary-school mathematics teachers, it has developed into a book that could serve well as a text in an - dergraduate course in abstract algebra or a course designed as an introduction to higher mathematics. This book difiers from many undergraduate algebra texts in fundamental ways; the reasons...