: One of the most widely referenced versions, focusing on foundational concepts for B.Sc. students.
The book explains $E = r_u \cdot r_u$, $F = r_u \cdot r_v$, $G = r_v \cdot r_v$ well. Use the PDF to cross-reference the surface diagrams (cylinder, sphere, paraboloid). If your PDF lacks clear images, supplement with online 3D graphing tools. differential geometry krishna publication pdf