This text is ideal for junior-,senior-,and graduate-level courses in computer graphics and computer-aided design taught in departments of mechanical and aeronautical engineering and computer science.It presents in a unified manner an introduction to the mathematical theory underlying computer graphic applications.It covers topics of keen interest to students in engineering This text is ideal for junior-,senior-,and graduate-level courses in computer graphics and computer-aided design taught in departments of mechanical and aeronautical engineering and computer science.It presents in a unified manner an introduction to the mathematical theory underlying computer graphic applications.It covers topics of keen interest to students in engineering and computer science: transformations,projections,2-D and 3-D curve definition schemes,and surface definitions.It also includes techniques,such as B-splines,which are incorporated as part of the software in advanced engineering workstations.A basic knowledge of vector and matrix algebra and calculus is required.