Modern Geometries: The Analytic Approach

Modern Geometries: The Analytic Approach by Henle, Michael. hardcover edition. ISBN: 9780131934184.

This text updates the teaching of college geometry based upon three fundamental ideas: geometries only approximate reality; the best presentation of a geometry is by transformation groups; and points and other geometric objects should be co-ordinated. The work is designed to be engaging and accessible, and it describes geometry as it is understood and used by contemporary mathematicians and theoretical scientists.