ABSTRACT

As mentioned in Chapter 1, the knowledge of the geometry of space is important for Newtonian (classical) as well as Einstein’s relativistic mechanics which is reflected in the statement “Dynamics deals with the geometry of motion.” To develop geometry of a space, the paramount importance is the assumption of coordinate systems to suitably describe the space concerned based on the corresponding metric. Deformation is an essential notion to invite the concept of “tensors” in non-isotropic medium from an applicable point of view in mathematical science. Tensors being independent of any coordinate system possess the intrinsic property of the geometry of space.