INFER 发表于 2025-3-21 19:07:54
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Undergraduate Texts in Mathematicshttp://image.papertrans.cn/v/image/980819.jpgGUILE 发表于 2025-3-22 05:18:25
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Manifolds-with-Boundary,The classical version of Stokes’s theorem deals with the connection between “surface integrals” and “line integrals.” A three-dimensional version, called Gauss’s integral theorem, makes a statement about the relationship between “volume integrals” and surface integrals.运气 发表于 2025-3-23 00:08:53
,The Intuitive Meaning of Stokes’s Theorem,The actual definition of the Cartan (or exterior) derivative . : Ω.. → Ω.. will be postponed until the next chapter, and the proof of Stokes’s theorem that ... = ... until the chapter after that. In the present chapter I’ll try to sketch how one could intuitively come up with the idea of the exterior derivative and conjecture Stokes’s theorem.做方舟 发表于 2025-3-23 02:04:07
The Wedge Product and the Definition of the Cartan Derivative,To define the Cartan derivative we use a tool from multilinear algebra, the exterior, or “wedge,” product of alternating multilinear forms.和平主义者 发表于 2025-3-23 09:36:23
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