Bibliothèque de L'IMIST/CNRST

Coordinate manifolds -- Scalars -- Vectors and tensors -- Special skew-symmetric tensor -- Vector product, curl of a vector -- Riemann spaces -- Affinely connected spaces -- Normal coordinates -- General theory of extension -- Absolute differentiation -- Differential invariants -- Transformation groups -- Euclidean metric space -- Homogeneous and isotropic tensors -- Curves in spsace, Frenet formulae -- Surfaces in space -- Mixed surface and space tensors, coordinate extension and absolute differentiation -- Formulae of Gauss and Weingarten -- Gaussian and mean curvature of a surface -- Equations of Gauss and Codazzi -- Principla curvatures and principal directions -- Asymptotic lines -- Orthogonal ennuples and normal congruences -- Families of parallel surfaces -- Developable surfaces, minimal surfaces.

Includes index.

Description based on print version record.