This book focuses on the differential geometry of both parametric curves and surfaces. It presents the computation of the tangent vector, normal vector, and binormal vector for a curve defined by its parametric equations. Additionally, it covers the normal vector and tangent plane of parametric surfaces. Finally, it addresses the differential geometry properties of a curve defined as the intersection of two parametric surfaces
Preliminary
Differential geometry along parametric curves and parametric surfaces
Differential geometry along an intersection curves of two parametric surfaces