
This elementary account of the differential geometry of curves and surfaces in space provides students with a good foundation for further study. It explores the ideas of curvature and torsion using the concept of the spin-vector, and it examines the curvature of surfaces, with...

Elementary account covers curvature and torsion, involutes and evolutes, curves on a surface, curvature of surfaces, and developable and ruled surfaces. Numerous problems include complete solutions. 1965 edition.