List questions from vector-analysis

Published on 11 Apr 2026 - 1:43

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Derivative of matrix vector product

Published on 15 Apr 2026 - 21:30

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Inverting a Fourier-like expression by operating with a Laplacian

Published on 15 Apr 2026 - 15:05

67

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Show that $ \iint_{S} \nabla(f) \cdot d \vec{S} \neq 0$ at the following conditions

Published on 17 Apr 2026 - 2:55

34

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Question on solution of $\int_{C} \frac{(y,-x)}{x^{2}+y^{2}} \cdot d \vec{C}$ (solution added)

Published on 15 Apr 2026 - 19:13

455

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How to prove the uniqueness of the gradient?

Published on 15 Apr 2026 - 12:56

51

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Line integral under closed sign

Published on 15 Apr 2026 - 8:54

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A more general definition of a source and a sink for a vector field

Published on 16 Apr 2026 - 7:23

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show that the volume of domain $U$ is $V_{U}=\iiint_{\tilde{U}} \sqrt{g} d u_{1} d u_{2} d u_{3}$ while $g=det(g_{ij})$

Published on 17 Apr 2026 - 6:28

520

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It is really necessary to be always very rigorous in math?

Published on 11 Apr 2026 - 11:10

26

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What is the generalisation of this residue theorem to N-dimensions?

Published on 13 Apr 2026 - 23:32

58

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Deriving the gradient of $f: \mathbb{R^3} \rightarrow \mathbb{R}$ at any coordinates $(u_1,u_2,u_3)$

Published on 17 Apr 2026 - 11:52

56

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find the distance of point $P(0,0,1)$ from the level surface $f(x,y,z)=0$ of $f(x, y, z)=\left(z-x^{2}\right)(z+3 y)$

Published on 16 Apr 2026 - 12:11

62

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Doubt in the proof of Stokes theorem

Published on 09 Apr 2026 - 22:18

69

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Computation (example) with vector fields in $\mathbb{R}^3$.

Published on 13 Apr 2026 - 7:26

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Help with this line integral (verification)

Derivative of matrix vector product

Inverting a Fourier-like expression by operating with a Laplacian

Show that $ \iint_{S} \nabla(f) \cdot d \vec{S} \neq 0$ at the following conditions

Question on solution of $\int_{C} \frac{(y,-x)}{x^{2}+y^{2}} \cdot d \vec{C}$ (solution added)

How to prove the uniqueness of the gradient?

Line integral under closed sign

A more general definition of a source and a sink for a vector field

show that the volume of domain $U$ is $V_{U}=\iiint_{\tilde{U}} \sqrt{g} d u_{1} d u_{2} d u_{3}$ while $g=det(g_{ij})$

It is really necessary to be always very rigorous in math?

What is the generalisation of this residue theorem to N-dimensions?

Deriving the gradient of $f: \mathbb{R^3} \rightarrow \mathbb{R}$ at any coordinates $(u_1,u_2,u_3)$

find the distance of point $P(0,0,1)$ from the level surface $f(x,y,z)=0$ of $f(x, y, z)=\left(z-x^{2}\right)(z+3 y)$

Doubt in the proof of Stokes theorem

Computation (example) with vector fields in $\mathbb{R}^3$.

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