Course in Modern Geometries

A Course in Modern Geometries is designed for a junior-senior level course for mathematics majors, including those who plan to teach in secondary school. Chapter 1 presents several finite geometries in an axiomatic framework. Chapter 2 continues the synthetic approach as it introduces Euclid''s geometry and ideas of non-Euclidean geometry. In Chapter 3, a new introduction to symmetry and hands-on ...