Tensor Calculus

Contents: Preface. 1. Tensor. 2. Definition (tensor operation). 3. Tensor analysis. 4. Vector bundle morphisms. 5. Partial derivative of a tensor. 6. Higher rank tensors. 7. Einstein notation. 8. Classical theorems in Riemannian geometry. 9. Structure tensor.

"This short text includes fundamental introduction for beginning student of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, special types of space, relative tensors, ideas of volume, more." (jacket)