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

By A. J. McConnell

This normal paintings applies tensorial how to topics in the realm of complicated collage arithmetic. In its 4 major divisions, it explains the basic principles and the notation of tensor thought; 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, platforms of cones and conics, vital 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, precise conception of relativity).

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New PDF release: Applications of Tensor Analysis (Dover Books on Mathematics)

This typical paintings applies tensorial easy methods to topics in the realm of complicated collage arithmetic. In its 4 major divisions, it explains the elemental rules and the notation of tensor thought; covers the geometrical remedy of tensor algebra; introduces the idea of the differentiation of tensors; and applies arithmetic to dynamics, electrical energy, elasticity, and hydrodynamics.

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


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