Modern Geometries: Non-Euclidean Projective and Discrete Geometry (2nd Edition)

About this book

Engaging accessible and extensively illustrated this brief but solid introduction to modern geometry describes geometry as it is understood and used by contemporary mathematicians and theoretical scientists. Basically non-Euclidean in approach it relates geometry to familiar ideas from analytic geometry staying firmly in the Cartesian plane. It uses the principle geometric concept of congruence or geometric transformation--introducing and using the Erlanger Program explicitly throughout. It features significant modern applications of geometry--e.g. the geometry of relativity symmetry art and crystallography finite geometry and computation. Covers a full range of topics from plane geometry projective geometry solid geometry discrete geometry and axiom systems. For anyone interested in an introduction to geometry used by contemporary mathematicians and theoretical scientists.