Differential Geometry of Three Dimensions: Volume 2 (Paperback)

Preface; 1. Differential invariants for a surface; 2. Families of curves on a surface; 3. Families of curves (continued); 4. Ruled surfaces. Weingarten surfaces; 5. Curvilinear coordinates in space. Differential invariants; 6. Families of surfaces; 7. Tensors of the second order; 8. Families of curves and functions of direction on a surface; 9. Levi-Civita's parallel displacements. Tchebychef systems; 10. Representation of surfaces. Conical projection; 11. Small deformations of curves and surfaces; 12. Flexion of surfaces. Applicability; 13. Curvilinear congruences; Index.