30571
Geometric Transformations
By Michael E. Mortenson 1995, 384 pp., illus., ISBN 0-8311-3057-1
$59.95

Written specifically for engineers and mathematicians working in computer graphics, geometric modeling, CAD/CAM, virtual reality, computational geometry, robotics, kinematics, or scientific visualization, this text explores and develops the theory and application of transformations and gives the reader a full understanding of transformation theory, the role of invariants, the uses of various notation systems, and the relationships between transformations. It describes how geometric objects, or things represented as such, when subjected to mathematical operations called geometric transformations, may change position, orientation, or even shape even though the properties that characterize their geometric identity and integrity remain unchanged or invariant.

Table of Contents:
Geometry. Theory of Transformations. Vector Spaces. Motion. Reflection. Dilation and Shear. Projection. Nonlinear Transformations. Symmetry. Bibliography. Index.