Synchronism
发表于 2025-3-28 17:12:49
Connectedness, Smooth and SimpleDefining the notion of a connected space, path-connected space, path homotopy, and simply connected spaces. The winding number of a path. A review of multivariable calculus, including the inverse function theorem. Path-connected manifolds are differentiably path-connected.
抛媚眼
发表于 2025-3-28 22:34:28
Path IntegralsIntegration of generalised 1-forms. The length of a path. Vector fields; conservative and symmetric vector fields.
宣誓书
发表于 2025-3-29 00:37:21
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Herd-Immunity
发表于 2025-3-29 03:15:16
Riemann SurfacesDefining holomorphic surfaces; the open mapping theorem; compact Riemann surfaces and degrees of holomorphic maps. The Riemann surfaces for the complex logarithm and roots. Analytic continuation. Differential forms on Riemann surfaces.
调情
发表于 2025-3-29 10:14:12
Curves Are SurfacesThe implicit function theorem allows us to define an atlas for a nonsingular complex curve which makes it a Riemann surface. This structure is used to give a topological meaning to intersections with lines.
contradict
发表于 2025-3-29 14:59:33
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摘要
发表于 2025-3-29 19:08:59
7楼
向外
发表于 2025-3-29 22:19:46
8楼
并排上下
发表于 2025-3-30 00:51:10
8楼
思想灵活
发表于 2025-3-30 06:06:40
8楼