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- Stokes'_theorem abstract "In differential geometry, Stokes' theorem (also called the generalized Stokes' theorem) is a statement about the integration of differential forms on manifolds, which both simplifies and generalizes several theorems from vector calculus. Stokes' theorem says that the integral of a differential form ω over the boundary of some orientable manifold Ω is equal to the integral of its exterior derivative dω over the whole of Ω, i.e.This modern form of Stokes' theorem is a vast generalization of a classical result first discovered by Lord Kelvin, who communicated it to George Stokes in a letter dated July 2, 1850. Stokes set the theorem as a question on the 1854 Smith's Prize exam, which led to the result bearing his name. This classical Kelvin–Stokes theorem relates the surface integral of the curl of a vector field F over a surface Σ in Euclidean three-space to the line integral of the vector field over its boundary ∂Σ:This classical statement, as well as the classical Divergence theorem, fundamental theorem of calculus, and Green's Theorem are simply special cases of the general formulation stated above.".
- Stokes'_theorem thumbnail Green's-theorem-simple-region.svg?width=300.
- Stokes'_theorem wikiPageExternalLink hh_focusontheory_sectionm.pdf.
- Stokes'_theorem wikiPageExternalLink sici?sici=0025-570X(197905)52%3A3%3C146%3ATHOST%3E2.0.CO%3B2-O.
- Stokes'_theorem wikiPageExternalLink stokestheorem.aspx.
- Stokes'_theorem wikiPageExternalLink Diff_Forms_pauses.pdf.
- Stokes'_theorem wikiPageID "29040".
- Stokes'_theorem wikiPageRevisionID "606763800".
- Stokes'_theorem hasPhotoCollection Stokes'_theorem.
- Stokes'_theorem id "p/s090310".
- Stokes'_theorem title "Stokes formula".
- Stokes'_theorem subject Category:Differential_forms.
- Stokes'_theorem subject Category:Differential_topology.
- Stokes'_theorem subject Category:Duality_theories.
- Stokes'_theorem subject Category:Integration_on_manifolds.
- Stokes'_theorem subject Category:Theorems_in_calculus.
- Stokes'_theorem subject Category:Theorems_in_differential_geometry.
- Stokes'_theorem type Abstraction100002137.
- Stokes'_theorem type Cognition100023271.
- Stokes'_theorem type Communication100033020.
- Stokes'_theorem type DifferentialForms.
- Stokes'_theorem type DualityTheories.
- Stokes'_theorem type Explanation105793000.
- Stokes'_theorem type Form106290637.
- Stokes'_theorem type HigherCognitiveProcess105770664.
- Stokes'_theorem type LanguageUnit106284225.
- Stokes'_theorem type Message106598915.
- Stokes'_theorem type Part113809207.
- Stokes'_theorem type Process105701363.
- Stokes'_theorem type Proposition106750804.
- Stokes'_theorem type PsychologicalFeature100023100.
- Stokes'_theorem type Relation100031921.
- Stokes'_theorem type Statement106722453.
- Stokes'_theorem type Theorem106752293.
- Stokes'_theorem type TheoremsInCalculus.
- Stokes'_theorem type TheoremsInDifferentialGeometry.
- Stokes'_theorem type Theory105989479.
- Stokes'_theorem type Thinking105770926.
- Stokes'_theorem type Word106286395.
- Stokes'_theorem comment "In differential geometry, Stokes' theorem (also called the generalized Stokes' theorem) is a statement about the integration of differential forms on manifolds, which both simplifies and generalizes several theorems from vector calculus.".
- Stokes'_theorem label "Satz von Stokes".
- Stokes'_theorem label "Stelling van Stokes".
- Stokes'_theorem label "Stokes' theorem".
- Stokes'_theorem label "Teorema de Stokes".
- Stokes'_theorem label "Teorema de Stokes".
- Stokes'_theorem label "Teorema di Stokes".
- Stokes'_theorem label "Théorème de Stokes".
- Stokes'_theorem label "Twierdzenie Stokesa".
- Stokes'_theorem label "Теорема Стокса".
- Stokes'_theorem label "ストークスの定理".
- Stokes'_theorem label "斯托克斯定理".
- Stokes'_theorem sameAs Stokesova_věta.
- Stokes'_theorem sameAs Satz_von_Stokes.
- Stokes'_theorem sameAs Teorema_de_Stokes.
- Stokes'_theorem sameAs Théorème_de_Stokes.
- Stokes'_theorem sameAs Teorema_di_Stokes.
- Stokes'_theorem sameAs ストークスの定理.
- Stokes'_theorem sameAs 스토크스의_정리.
- Stokes'_theorem sameAs Stelling_van_Stokes.
- Stokes'_theorem sameAs Twierdzenie_Stokesa.
- Stokes'_theorem sameAs Teorema_de_Stokes.
- Stokes'_theorem sameAs m.07611.
- Stokes'_theorem sameAs Q467756.
- Stokes'_theorem sameAs Q467756.
- Stokes'_theorem sameAs Stokes'_theorem.
- Stokes'_theorem wasDerivedFrom Stokes'_theorem?oldid=606763800.
- Stokes'_theorem depiction Green's-theorem-simple-region.svg.
- Stokes'_theorem isPrimaryTopicOf Stokes'_theorem.
