Basic Algebra X

A revision of the text for graduate students who have already taken a first course. This text is for students of mathematics in the broad sense, not just for specialists in algebra. It stresses important applications and concrete instances of theory. Euclidean and Non-Euclidean Geometries presents the discovery of non-Euclidean geometry and the reformulation of the foundations of Euclidean geometry. The second edition of a book designed to introduce mathematics students to abstract algebra.