McConnell A. Applications of Tensor Analysis 2011 torrent

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This standard work applies tensorial methods to subjects within the realm of advanced college mathematics. In its four main divisions, it explains the fundamental ideas and the notation of tensor theory; covers the geometrical treatment of tensor algebra; introduces the theory of the differentiation of tensors; and applies mathematics to dynamics, electricity, elasticity, and hydrodynamics. Partial contents: algebraic preliminaries (notation, definitions, determinants, tensor analysis); algebraic geometry (rectilinear coordinates, the plane, the straight line, the quadric cone and the conic, systems of cones and conics, central quadrics, the general quadric, affine transformations); differential geometry (curvilinear coordinates, covariant differentiation, curves in a space, intrinsic geometry of a surface, fundamental formulae of a surface, curves on a surface); applied mathematics (dynamics of a particles, dynamics of rigid bodies, electricity and magnetism, mechanics of continuous media, special theory of relativity).
Algebraic Preliminaries
Notation and Definitions
Tensor Analysis
Algebraic Geometry
Rectilinear Coordinates
The Plane
The Straight Line
The Quadric Cone and the Conic
Systems of Cones and Conics
Central Quadrics
The General Quadric
Differential Geometry
Curvilinear Coordinates
Covariant Differentiation
Curves in Space
Intrinsic Geometry of a Surface
The Fundamental Formulae of a Surface
Curves on a Surface
Applied Mathematics
Dynamics of a Pakticle
Dynamics of Rigid Bodies
Electricity and Magnetism
Mechanics of Continuous Media
The Special Theory of Relativity