Rotations, Quaternions, and Double Groups

This self-contained text presents a consistent description of the geometric and quaternionic treatment of rotation operators, employing methods that lead to a rigorous formulation and offering complete solutions to the many illustrative problems. Geared toward upper-level undergraduates and graduate students, it begins with chapters covering the fundamentals of symmetries, matrices, and groups and presenting a primer on rotations and rotation matrices. Subsequent chapters explore rotations and angular momentum, tensor bases, the bilinear transformation, projective representations, and the geometry, topology, and algebra of rotations. 336pp. 63 illustrations. 53/8 x 81/2.