Tensor Analysis: Theory and Applications |
Contents
LINEAR VECTOR SPACES MATRICES 1 Coordinate Systems | 1 |
The Geometric Concept of a Vector | 4 |
Linear Vector Spaces Dimensionality of Space | 6 |
Copyright | |
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arbitrary axes base vectors calculations Christoffel symbols class C¹ coefficients components constant contravariant coordinate system covariant covariant derivative curvature curve curvilinear coordinates deduce defined definition deformation denote derivative determined differential equations ds² dx¹ dx³ dynamical elasticity element of arc Euclidean expression Əqi əxi əyi follows force formula functions geodesic geometry given gravitational hence integral invariant Kronecker deltas Lagrangean equations linear m₁ manifold mass matrix metric metric tensor mixed tensor motion obtain orthogonal cartesian parameter particle problem quadratic form reference frame Riemann tensor scalar sin² solution space strain tensor surface symmetric system X t₁ theorem theory of relativity tion trajectory unit vector values vanish variables velocity virtual displacement write Y-system δε δι диа див მე მეს მყ