infinitesimal neighbourhood

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• Differential (infinitesimal) — For other uses of differential in calculus, see differential (calculus), and for more general meanings, see differential. In calculus, a differential is traditionally an infinitesimally small change in a variable. For example, if x is a variable …   Wikipedia

• Infinitely near point — In mathematics, the notion of infinitely near points was initially part of the intuitive foundations of differential calculus. In the simplest terms, two points which lie at an infinitesimal distance apart are considered infinitely near.… …   Wikipedia

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• Affine connection — An affine connection on the sphere rolls the affine tangent plane from one point to another. As it does so, the point of contact traces out a curve in the plane: the development. In the branch of mathematics called differential geometry, an… …   Wikipedia

• Faraday's law of induction — For the relationship between a time varying magnetic field and an induced electric field, see Maxwell s equations. Electromagnetism …   Wikipedia

• Lie group — Lie groups …   Wikipedia

• Théorie des catégories — La théorie des catégories étudie les structures mathématiques et les relations qu elles entretiennent. Les catégories sont utilisées dans la plupart des branches mathématiques et dans certains secteurs de l informatique théorique et en… …   Wikipédia en Français

• Distribution (differential geometry) — For other meanings, see Distribution (disambiguation). In differential geometry, a discipline within mathematics, a distribution is a subset of the tangent bundle of a manifold satisfying certain properties. Distributions are used to build up… …   Wikipedia

• Affine focal set — In mathematics, and especially affine differential geometry, the affine focal set of a smooth submanifold M embedded in a smooth manifold N is the caustic generated by the affine normal lines. It can be realised as the bifurcation set of a… …   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