tensor calculus

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• tensor calculus — tenzorinis skaičiavimas statusas T sritis fizika atitikmenys: angl. tensor calculus vok. Tensorkalkül, m; Tensorrechnung, f rus. тензорное исчисление, n pranc. calcul tensoriel, m …   Fizikos terminų žodynas

• Tensor — For other uses, see Tensor (disambiguation). Note that in common usage, the term tensor is also used to refer to a tensor field. Stress, a second order tensor. The tensor s components, in a three dimensional Cartesian coordinate system, form the… …   Wikipedia

• Tensor field — In mathematics, physics and engineering, a tensor field is a very general concept of variable geometric quantity. It is used in differential geometry and the theory of manifolds, in algebraic geometry, in general relativity, in the analysis of… …   Wikipedia

• Tensor bundle — In mathematics, the tensor bundle of a manifold is the direct sum of all tensor products of the tangent bundle and the cotangent bundle of that manifold. To do calculus on the tensor bundle a connection is needed …   Wikipedia

• tensor analysis — the branch of mathematics dealing with the calculus of tensors, esp. the study of properties that are unaffected by a change of coordinate system. * * * Branch of mathematics concerned with relations or laws that remain valid regardless of the… …   Universalium

• tensor analysis — the branch of mathematics dealing with the calculus of tensors, esp. the study of properties that are unaffected by a change of coordinate system …   Useful english dictionary

• Metric tensor — In the mathematical field of differential geometry, a metric tensor is a type of function defined on a manifold (such as a surface in space) which takes as input a pair of tangent vectors v and w and produces a real number (scalar) g(v,w) in a… …   Wikipedia

• Matrix calculus — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

• Vector calculus — Topics in Calculus Fundamental theorem Limits of functions Continuity Mean value theorem Differential calculus  Derivative Change of variables Implicit differentiation Taylor s theorem Related rates …   Wikipedia

• Vector calculus identities — The following identities are important in vector calculus:ingle operators (summary)This section explicitly lists what some symbols mean for clarity.DivergenceDivergence of a vector fieldFor a vector field mathbf{v} , divergence is generally… …   Wikipedia

• Regge calculus — In general relativity, Regge calculus is a formalism for producing simplicial approximations of spacetimes which are solutions to the Einstein field equation. The calculus was introduced by the Italian theoretician Tullio Regge in the early 1960s …   Wikipedia