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exterior differential

См. также в других словарях:

  • Differential — may refer to: Contents 1 Mathematics 2 Natural sciences and engineering 3 Social sciences 4 Medicine 5 …   Wikipedia

  • Differential form — In the mathematical fields of differential geometry and tensor calculus, differential forms are an approach to multivariable calculus that is independent of coordinates. Differential forms provide a better[further explanation needed] definition… …   Wikipedia

  • Differential ideal — In the theory of differential forms, a differential ideal I is an algebraic ideal in the ring of smooth differential forms on a smooth manifold, in other words a graded ideal in the sense of ring theory, that is further closed under exterior… …   Wikipedia

  • Exterior algebra — In mathematics, the exterior product or wedge product of vectors is an algebraic construction generalizing certain features of the cross product to higher dimensions. Like the cross product, and the scalar triple product, the exterior product of… …   Wikipedia

  • Exterior derivative — In differential geometry, the exterior derivative extends the concept of the differential of a function, which is a form of degree zero, to differential forms of higher degree. Its current form was invented by Élie Cartan.The exterior derivative… …   Wikipedia

  • Differential of a function — For other uses of differential in mathematics, see differential (mathematics). In calculus, the differential represents the principal part of the change in a function y = ƒ(x) with respect to changes in the independent variable. The… …   Wikipedia

  • Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… …   Wikipedia

  • Differential (calculus) — In mathematics, and more specifically, in differential calculus, the term differential has several interrelated meanings.Basic notions* In traditional approaches to calculus, the differential (e.g. dx, dy, dt, etc...) of a function represents an… …   Wikipedia

  • Differential (mathematics) — In mathematics, the term differential has several meanings. Contents 1 Basic notions 2 Differential geometry 3 Algebraic geometry 4 Other meanings …   Wikipedia

  • Exterior covariant derivative — In mathematics, the exterior covariant derivative, sometimes also covariant exterior derivative, is a very useful notion for calculus on manifolds, which makes it possible to simplify formulas which use a principal connection. Let P → M be a… …   Wikipedia

  • Differential geometry — A triangle immersed in a saddle shape plane (a hyperbolic paraboloid), as well as two diverging ultraparallel lines. Differential geometry is a mathematical discipline that uses the techniques of differential and integral calculus, as well as… …   Wikipedia

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