課程說明
從微分拓撲或微分幾何的觀點研究可微流形。內容包括平滑映射、橫截性、交叉理論、流形上的向量場、高斯曲率、黎曼流形、微分形式、張量與聯絡等主題。
原文參考文本
A study of differentiable manifolds from the point of view of either differential topology or differential geometry. Topics such as smooth mappings, transversality, intersection theory, vector fields on manifolds, Gaussian curvature, Riemannian manifolds, differential forms, tensors, and connections are included.
來源與參考
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來源參考 : https://calendar.carleton.ca/grad/courses/MATH/