Introduction to Tensors Calculus with some applications

Abstract

The fundamental idea in Tensors calculus is the transformation of variables,In this research we studied some of this concepts. This work is divided in three chapters as follows :- Firstly, we illustrate the coordinates, Tensors and curvilinear coordinates via discussing of Cartesian Tensors, Tensors Derivatives and Tensor invariance, Also we presented some physical components of Tensors with some example. In chapter Two, we presented some special Tensors, and we express their structures in curvilinear, cylindrical, Cartesian and Spherical Coordinates with some applications and examples. Finally, we discuss the physical covariant and contravariant components of various coordinates System. Also we Studies the Linear, Bilinear and Multilinear forms with some examples.