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


By A. J. McConnell

This general paintings applies tensorial how to matters in the realm of complicated university arithmetic. In its 4 major divisions, it explains the basic rules and the notation of tensor thought; covers the geometrical remedy 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 instantly 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, 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, targeted conception of relativity).

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

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