The Way of Expressing, Analyzing and Calculating Space Angles on A Plane -- The Way of Analyzing And Calculating Cutting Tool Angles In A Projection Plane -- A Study On Curved Edge Drills -- Approximate Solutions For Space Angle Problems -- The Principle of Minimum Energy Dissipation In Metal Cutting -- The Chip-Ejection Interference and Compromise in Non-Free Cutting -- Non-linear Synthetic Method For Modeling Modern Cutting Tools -- Bifurcation And Catastrophe In Metal Cutting Process -- The Principles And The Law For Free Cutting Tool Design -- The Constraint Conditions For Free-Cutting Tool Design. .

This book summarizes the author's lifetime achievements, offering new perspectives and approaches in the field of metal cutting theory and its applications. The topics discussed include Non-Euclidian Geometry of Cutting Tools, Non-free Cutting Mechanics and Non-Linear Machine Tool Dynamics, applying non-linear science/complexity to machining, and all the achievements and their practical significance have been theoretically proved and experimentally verified.