Stokes' theorem
theorem in vector calculus
Facts
11 properties- Instance of
- theorem
- Part of
- list of theorems[4]
- Defining formula
- \iint_S (\nabla \times \boldsymbol{F}) \cdot \mathrm{d}\boldsymbol{\sigma} = \int_{\partial S} \boldsymbol{F} \cdot \mathrm{d}\boldsymbol{\sigma}
- Depicts
- differential form[3]
- Described by source
- Khan Academy, Mathwords[5][6]
- Different from
- generalized Stokes' theorem, Kelvin's circulation theorem[7][8]
- Generalization of
- Green's theorem, divergence theorem[12][13]
- In defining formula
- \boldsymbol{F}, \iint_S \boldsymbol{F} \cdot \mathrm{d}\boldsymbol{\sigma}, S, \int_{\boldsymbol{c}} \boldsymbol{F} \cdot \mathrm{d}\boldsymbol{s}, \partial S, \nabla \times \boldsymbol{F}
- Maintained by WikiProject
- WikiProject Mathematics[11]
- Named after
- Sir George Stokes, 1st Baronet[2]
- Studied by
- calculus, vector calculus[9][10]
🏷️ Also known as
en curl theorem
en circulation theorem
en Stokes' theorem
en fundamental theorem for curls
en Kelvin–Stokes theorem
ar مبرهنة كلفن-ستوكس
ar مبرهنة الدوران
ar مبرهنة ستوكس
cs Stokesova věta
da Kelvin–Stokes læresætning
de stokessches Theorem
de stokesscher Satz
de klassische Integralsatz von Stokes
de stokesscher Integralsatz
de integralsatz von Stokes
de Rotationssatz
de Stokes-Integralsatz
de Satz von Kelvin-Stokes
de Satz von Stokes
es teorema de Stokes
🔖 Identifiers · 11
- GND ID
- 4759656-9
- OpenAlex ID
- C198470675
- Brilliant Wiki ID
- stokes-theorem
- Digital Library of Mathematical Functions ID
- 1.6.E57
- Encyclopedia of Mathematics article ID
- Stokes_formula
- Freebase ID
- /m/07611, /m/0kvk442
- IEV number
- 102-05-31
- MathWorld ID
- StokesTheorem, CurlTheorem
- Microsoft Academic ID (discontinued)
- 2778537239, 198470675
- NLab ID
- Stokes theorem
- ScienceDirect topic ID
- mathematics/stokes-theorem
🔗 Connections
Different from 2
Generalization of 2
Studied by 2
Subtypes 2
← Different from 2
Created notable works 1
Depicts 1
Instance of 1
Maintained by WikiProject 1
Named after 1
Named after 1
Part of 1
← Based on 1
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