Question

Verify Stokes' theorem for $F=2yzi-(x+3y-2)j+(x^2+z)k$ where $S\subset \mathbb{R}^3$

score 724 · Answer 1 · 2022-06-07 14:24:35

724

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Verify Stokes' theorem for $F=2yzi-(x+3y-2)j+(x^2+z)k$ where $S\subset \mathbb{R}^3$

Published on 07 Jun 2022 - 14:24

score 163 · Answer 2 · 2022-06-10 09:22:03

163

Views

Can I calculate the area of a closed surface on a sphere by its boundary using Stokes' Theorem?

Published on 10 Jun 2022 - 9:22

score 62 · Answer 3 · 2022-06-22 14:26:23

62

Views

Calculate $\int_{\partial V} \mathbf{F}\cdot d\mathbf{S}$ where $\partial V$ is the border of the union of two sets and $F$ is a flux

Published on 22 Jun 2022 - 14:26

score 95 · Answer 4 · 2022-06-24 04:38:32

95

Views

Difficulty with verifying Stokes' theorem for a given domain and a specific differential $(n-1)$-form

Published on 24 Jun 2022 - 4:38

score 175 · Answer 5 · 2022-07-01 07:48:43

175

Views

Stokes theorem and parameterization of an "ellipse"

Published on 01 Jul 2022 - 7:48

score 74 · Answer 6 · 2022-07-01 19:24:18

74

Views

$T_\mathbf{p}(M)$ when $M$ is a $n$-manifold in $\mathbb{R}^n$

Published on 01 Jul 2022 - 19:24

score 267 · Answer 7 · 2026-03-28 17:41:47

267

Views

Boundary of manifold with boundary

Published on 28 Mar 2026 - 17:41

score 66 · Answer 8 · 2026-03-27 18:15:01

66

Views

Pullback invariance of $SO(4)$ transformations for the Haar measure in $SU(2)$

Published on 27 Mar 2026 - 18:15

score 57 · Answer 9 · 2026-03-28 17:41:18

57

Views

Questions about the proof of the Gauss-Bonnet Theorem for surfaces with boundary

Published on 28 Mar 2026 - 17:41

score 203 · Answer 10 · 2026-02-23 18:44:39

203

Views

Integral of a volume form and stokes theorem

Published on 23 Feb 2026 - 18:44

score 84 · Answer 11 · 2026-03-30 09:35:37

84

Views

Why is Stokes theorem not applicable / not used correctly in this case?

Published on 30 Mar 2026 - 9:35

score 306 · Answer 12 · 2022-08-28 19:17:32

306

Views

Verify stokes theorem in spherical coordinates

Published on 28 Aug 2022 - 19:17

score 49 · Answer 13 · 2026-02-24 08:23:27

49

Views

tensor-valued divergence theorem

Published on 24 Feb 2026 - 8:23

score 2.2k · Answer 14 · 2022-09-15 04:09:05

2.2k

Views

Evaluate $∫ydx+zdy+xdz$ where C is intersection of $x+z=a$ and $x^2+y^2+z^2=a^2$

Published on 15 Sep 2022 - 4:09

score 461 · Answer 15 · 2022-10-12 00:12:22

461

Views

Use Stokes Theorem to Prove Cauchy Integral Formula

Published on 12 Oct 2022 - 0:12

List Question

Verify Stokes' theorem for $F=2yzi-(x+3y-2)j+(x^2+z)k$ where $S\subset \mathbb{R}^3$

Can I calculate the area of a closed surface on a sphere by its boundary using Stokes' Theorem?

Calculate $\int_{\partial V} \mathbf{F}\cdot d\mathbf{S}$ where $\partial V$ is the border of the union of two sets and $F$ is a flux

Difficulty with verifying Stokes' theorem for a given domain and a specific differential $(n-1)$-form

Stokes theorem and parameterization of an "ellipse"

$T_\mathbf{p}(M)$ when $M$ is a $n$-manifold in $\mathbb{R}^n$

Boundary of manifold with boundary

Pullback invariance of $SO(4)$ transformations for the Haar measure in $SU(2)$

Questions about the proof of the Gauss-Bonnet Theorem for surfaces with boundary

Integral of a volume form and stokes theorem

Why is Stokes theorem not applicable / not used correctly in this case?

Verify stokes theorem in spherical coordinates

tensor-valued divergence theorem

Evaluate $∫ydx+zdy+xdz$ where C is intersection of $x+z=a$ and $x^2+y^2+z^2=a^2$

Use Stokes Theorem to Prove Cauchy Integral Formula

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