part Part I: Basics -- chapter 1 Part Surfaces: Geometry -- chapter 2 Kinematics of Surface Generation -- chapter 3 Applied Coordinate Systems and Linear Transformations -- part Part II: Fundamentals -- chapter 4 The Geometry of Contact of Two Smooth, Regular Surfaces -- chapter 5 Profiling of the Form-Cutting Tools of the Optimal Design -- chapter 6 The Geometry of the Active Part of a Cutting Tool -- chapter 7 Conditions of Proper Part Surface Generation -- chapter 8 Accuracy of Surface Generation -- part Part III: Application -- chapter 9 Selection of the Criterion of Optimization -- chapter 10 Synthesis of Optimal Surface Machining Operations -- chapter 11 Examples of Implementation of the Differential Geometry/ Kinematics.(DG/K)-Based Method of Surface Generation -- part Conclusion -- chapter Notation.