Geometry of Surfaces

Part 1. Part Surfaces.- Geometry of a Part Surface.- On a Possibility of Classification of Part Surfaces.- Part 2. On a Possibility of Classification of Part Surfaces.- Early Works in the Field of Contact Geometry of Surfaces.- An Analytical Method based on Second Fundamental Forms of the Contacting Part Surfaces.- Indicatrix of Conformity at Point of Contact of Two Smooth Regular Part Surfaces in the First Order of Tangency.- Plücker Conoid: More Characteristic Curves.- Possible Kinds of Contact of Two Smooth Regular Part Surfaces in the First Order of Tangency.- Part 3. Mapping of Contacting Part Surfaces.- -Mapping of Interacting Part Surfaces.- Generation of Enveloping Surfaces: General Consideration.- Generation of Enveloping Surfaces: Special Cases.- Conclusion.- Appendix A: Elements of Vector Calculus.- Appendix B: Elements of Coordinate Systems Transformations.- Appendix C: Change of Surface Parameters.- Appendix D: Closest Distance of Approach between Two Part Surfaces.

Dr. Stephen P. Radzevich is a Professor of Mechanical Engineering, and a Professor of Manufacturing Engineering. He received the M.Sc. (1976), the Ph.D. (1982), and the Dr.(Eng)Sc. (1991) - all in mechanical engineering. Dr. Radzevich has extensive industrial experience in gear design and manufacture. He has developed numerous software packages dealing with CAD and CAM of precise gear finishing for a variety of industrial sponsors. His main research interest is Kinematic Geometry of Surface Generation, particularly with the focus on (a) precision gear design, (b) high power density gear trains, (c) torque share in multi-flow gear trains, (d) design of special purpose gear cutting/finishing tools, (e) design and machining (finishing) of precision gears for low-noise/noiseless transmissions of cars, light trucks etc. Dr. Radzevich has spent about 40 years developing software, hardware and other processes for gear design an optimization. Besides his work for industry, he trains engineering students at universities and gear engineers in companies. He authored and co-authored over 30 monographs, handbooks, and textbooks. The monographs entitled "Generation of Surfaces" (2001), "Kinematic Geometry of Surface Machining" (CRC Press, 2008), "CAD/CAM of Sculptured Surfaces on Multi-Axis NC Machine: The DG/K-Based Approach" (M&C Publishers, 2008), "Gear Cutting Tools: Fundamentals of Design and Computation" (CRC Press, 2010, 2nd edition 2017), "Precision Gear Shaving" (Nova Science Publishers, 2010), "Dudley's Handbook of Practical Gear Design and Manufacture" (CRC Press, 2012, 2nd edition 2016), "Theory of Gearing: Kinematics, Geometry, and Synthesis" (CRC Press, 2012, 2nd edition 2018), "Geometry of Surfaces: A Practical Guide for Mechanical Engineers" (2013) are among the recently published volumes. He also authored and co-authored about 350 scientific papers and holds over 250 patents on inventions in the field, both, USA patents and International.

"The book ends with four appendices on the necessary mathematical background, a glossary, a rich bibliography, and an index. ... it is an invaluable vade mecum for manufacturing engineers." (Eleutherius Symeonidis, zbMATH 1492.53001, 2022)