December 23, 2017

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

By A. J. McConnell

This typical paintings applies tensorial tips on how to topics in the realm of complex university arithmetic. In its 4 major divisions, it explains the elemental rules and the notation of tensor idea; covers the geometrical therapy of tensor algebra; introduces the speculation 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, structures of cones and conics, primary quadrics, the final quadric, affine transformations); differential geometry (curvilinear coordinates, covariant differentiation, curves in an area, intrinsic geometry of a floor, primary 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 conception of relativity).

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


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