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

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By A. J. McConnell

This normal paintings applies tensorial the right way to topics in the realm of complex collage arithmetic. In its 4 major divisions, it explains the elemental principles and the notation of tensor idea; 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 aircraft, the immediately line, the quadric cone and the conic, structures of cones and conics, critical 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, targeted conception of relativity).

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

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