This short text includes fundamental introduction for beginning students of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include space and tensors; basic operations in Riemannian space, curvature of space, special types of space, relative tensors, ideas of volume, more.
About Author :
Dr. Shalini Singh has a long experience of teaching mathematics to the undergraduate students in Tront Ontario. She has also published several articles in various Journals on the area of group theory.
Contents :
Tensor
Definition (Tensor Operation)
Tensor Analysis
Vector Bundle Morphisms
partial Derivative of a Tensor
Higher Rank Tensors
Einstein Notation
Classical Theorems in Riemannian Geometry
Structure Tensor
