In ultra-precision diamond turning, the quality of the machined surface that can be generated is important in assessing the performance of the machining system. The process of surface generation has attracted a lot of research interest. However, most of the work has been based on empirical studies. Relatively little theoretical and quantitative work has been reported. This book addresses the subject of the modelling of nano-surface generation in ultra-precision diamond turning as well as its industrial applications in the prediction of surface quality, the process of optimization and precision mould manufacturing. The authors' somewhat unconventional approach to the subject is one in which both mathematical rigour and engineering appeal can be maintained. This publication should be suitable for research scientists and engineers, postgraduate and senior undergraduate students working in the field of precision engineering, machining, surface metrology and materials science.