After explaining the theory of transformations and vector spaces, this advanced textbook explores rigid body motion, reflection and symmetry, dilations, and projections. Topics include isometries, affinities, eigenvalues, tensors, rotation, central inversion, reflections in space, ornamental groups, polygonal symmetry, shear in a plane, map projections, and nonlinear transformations. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)