Download Applications of Tensor Analysis (Dover Books on Mathematics) by A. J. McConnell PDF

By A. J. McConnell

This common paintings applies tensorial the way to topics in the realm of complicated collage arithmetic. In its 4 major divisions, it explains the basic principles and the notation of tensor concept; covers the geometrical therapy of tensor algebra; introduces the idea of the differentiation of tensors; and applies arithmetic to dynamics, electrical energy, elasticity, and hydrodynamics.
Partial contents: algebraic preliminaries (notation, definitions, determinants, tensor analysis); algebraic geometry (rectilinear coordinates, the airplane, the directly line, the quadric cone and the conic, platforms of cones and conics, imperative quadrics, the overall quadric, affine transformations); differential geometry (curvilinear coordinates, covariant differentiation, curves in an area, intrinsic geometry of a floor, basic formulae of a floor, curves on a surface); utilized arithmetic (dynamics of a debris, dynamics of inflexible our bodies, electrical energy and magnetism, mechanics of constant media, particular concept of relativity).

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