This volume is a revised version of the original, which is the chief introduction to the fundamental concepts and technology of measuring spindle motion. The new edition has been updated with clearer examples and explanations, as well as improved illustrations. The book furnishes the mathematical tools to understand--and correct--various kinds of motion and rotational errors. Using case studies and practical examples, the author explains how to set up devices for measuring spindle motion. The book then presents a detailed analysis of precision spindle metrology data and demonstrates how the data can be utilized to understand and improve the performance of spindle-based machinery, measured to the nanometer level. About the Author: Dr. Eric Marsh is a professor in the Mechanical Engineering Department of Penn State University. He holds a doctorate from MIT where he worked in the precision engineering group of Professor Alexander Slocum. Dr. Marsh's current work focuses on spindle metrology, ball bearing metrology, and precision grinding, including novel ways of monitoring the grinding of glasses and ceramics.