What is the physical meaning of Stokes' formula in advanced mathematics?

深圳小花

What is the physical meaning of Stokes' formula in advanced mathematics? [Copy link]

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What is the physical meaning of Stokes' formula in advanced mathematics?

maychang

"What is the physical meaning of Stokes' formula in advanced mathematics?"

My reply in your thread "What is the physical meaning of Gauss's formula in advanced mathematics?" can be transferred to this thread without any changes.

maychang

My reply in that post:

It’s strange that I asked about the physical meaning of a certain mathematical formula .

Why don't you ask about the physical meaning of the Pythagorean theorem? Does the Pythagorean theorem have physical meaning? Does the quadratic equation have physical meaning?

深圳小花

maychang posted on 2021-12-26 10:52 My reply to that post: Strange, you actually asked about the physical meaning of a certain formula in mathematics. Why don’t you ask about the physical meaning of the Pythagorean theorem? The Pythagorean theorem has...

Thank you very much. Recently, I saw this sentence in a teaching video of linear algebra: mathematics is blind without physics, and physics is paralyzed without mathematics. Haha. I don't know how you understand it.

The reason why I asked about the physical meaning of these formulas is because I learn these things in order to understand electromagnetic fields. If I didn't need these mathematical knowledge to study electromagnetic fields, I probably would never have read these things in my life.

maychang

Shenzhen Xiaohua published on 2021-12-26 11:18 Thank you very much. Recently, I saw such a sentence in a teaching video of linear algebra: mathematics is blind without physics, physics...

"Mathematics without physics is blind, and physics without mathematics is paralyzed"

This metaphor is quite harmful.

You'd better ask whoever said this in the video.

深圳小花

maychang posted on 2021-12-26 11:52 "Mathematics is blind without physics, and physics is paralyzed without mathematics." This metaphor is quite harmful. Who said this in the video, ...

Could you please tell me in what situations is Stokes' formula used in electromagnetic fields and how is it used?

maychang

Shenzhen Xiaohua published on 2021-12-26 13:27 May I ask in what situations is the Stokes formula used in electromagnetic fields and how is it used?

"In what situations in electromagnetic fields is Stokes' theorem used, and how is it used?" You
will naturally use it when you learn electromagnetism. When you need to use it, you know what Stokes' theorem is, and just use it.

Gen_X

Many mathematical theorems do not make much sense when they are discovered, but when people apply these theorems to life, society or science, they have extraordinary effects.

fjdeepblue

My understanding: Newton-Leibniz theorem, Stokes' theorem, and Gauss's flux theorem represent the relationship between integrals and boundaries in one-dimensional, two-dimensional, and three-dimensional space, respectively.