Applications of Tensor Analysis

This standard work applies tensorial methods to subjects within the realm of advanced college mathematics. In its four main divisions it explains the fundamental ideas and the notation of tensor theory; covers the geometrical treatment of tensor algebra; introduces the theory of the differentiation of tensors; and applies mathematics to dynamics electricity elasticity and hydrodynamics.<br>Partial contents: algebraic preliminaries (notation definitions determinants tensor analysis); algebraic geometry (rectilinear coordinates the plane the straight line the quadric cone and the conic systems of cones and conics central quadrics the general quadric affine transformations); differential geometry (curvilinear coordinates covariant differentiation curves in a space intrinsic geometry of a surface fundamental formulae of a surface curves on a surface); applied mathematics (dynamics of a particles dynamics of rigid bodies electricity and magnetism mechanics of continuous media special theory of relativity).