Includes bibliographical references (p. 609-612) and index.

Why geometric algebra? -- Spanning oriented subspaces -- Metric products of subspaces -- Linear transformations of subspaces -- Intersection and union of subspaces -- The fundamental product of geometric algebra -- Orthogonal transformations as versors -- Geometric differentiation -- Modeling geometries -- The vector space model : the algebra of directions -- The homogeneous model -- Applications of the homogeneous model -- The conformal model : operational Euclidean geometry -- New primitives for Euclidean geometry -- Constructions in Euclidean geometry -- Conformal operations -- Operational models for geometries -- Implementation issues -- Basis blades and operations -- The linear products and operations -- Fundamental algorithms for nonlinear products -- Specializing the structure for efficiency -- Using the geometry in a ray-tracing application -- Metrics and null vectors -- Contractions and other inner products -- Subspace products retrieved -- Common equations.