Algebra of Vectors -- Algebra of Tensors -- Algebra of Higher-Order Tensors -- Eigenvalues, Eigenvectors and Spectral Decompositions of Tensors -- Representation of Tensorial Variables in Curvilinear Coordinates -- Differentiation of Tensor Functions and Representation Theorems -- Gradient and Related Operators -- Integral Theorems and Differential Forms -- Differential Geometry of Surfaces and Curves.