MATH4032 流形上的几何与分析 · Geometry and Analysis on Manifolds

MATH4032 是西澳大学(University of Western Australia,UWA)的一门课,开设在Physics, Mathematics and Computing,属于 Natural and Physical Sciences 领域。这一页汇总它的课程目录信息和西澳学生留下的评价。

课程信息

中文课名:流形上的几何与分析

课程类型:Undergraduate unit

学分:6

课程领域:Natural and Physical Sciences

所属学院:Physics, Mathematics and Computing

层级:Undergraduate Level 4

目录年份:2026

课程简介

This unit covers topics from differential topology, calculus on manifolds and differential geometry according to student background and needs. The topics may include integral curves of vector fields, differential forms, Lie brackets, integration on manifolds and Stokes' theorem, De Rham cohomologies, the Laplace-Beltrami operator on manifolds, the Hodge star operator, curves in Euclidean spaces, Frenet formulae, global properties of curvature, curvatures of surfaces in 3-s…

学生评价、难度与工作量

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