5302 - 近代幾何學專題(二) 英授 Taught in English
Topics in Modern Geometry (II)
教育目標 Course Target
Provides students some important notions in modern geometry such as analysis in Riemannian manifolds, relationships between curvature and topology, fundamental groups, hyperbolic geometry and Gromov-Hausdorff distance etc.
Provides students some important notions in modern geometry such as analysis in Riemannian manifolds, relationships between curvature and topology, fundamental groups, hyperbolic geometry and Gromov-Hausdorff distance etc.
參考書目 Reference Books
1.Berger, Marcel (2000), Riemannian Geometry During the Second Half of the Twentieth Century, University Lecture Series, 17, Rhode Island: American Mathematical Society
2.Cheeger, Jeff; Ebin, David G. (2008), Comparison theorems in Riemannian geometry, Providence, RI: AMS Chelsea Publishing.
3.Gallot, Sylvestre; Hulin, Dominique; Lafontaine, Jacques (2004), Riemannian geometry, Universitext (3rd ed.), Berlin: Springer-Verlag.
4.Jost, Jürgen (2002), Riemannian Geometry and Geometric Analysis, Berlin: Springer-Verlag.
5.Selected Papers
1.Berger, Marcel (2000), Riemannian Geometry During the Second Half of the Twentieth Century, University Lecture Series, 17, Rhode Island: American Mathematical Society
2.Cheeger, Jeff; Ebin, David G. (2008), Comparison theorems in Riemannian geometry, Providence, RI: AMS Chelsea Publishing.
3.Gallot, Sylvestre; Hulin, Dominique; Lafontaine, Jacques (2004), Riemannian geometry, Universitext (3rd ed.), Berlin: Springer-Verlag.
4.Jost, Jürgen (2002), Riemannian Geometry and Geometric Analysis, Berlin: Springer-Verlag.
5.Selected Papers
評分方式 Grading
評分項目 Grading Method |
配分比例 Percentage |
說明 Description |
---|---|---|
Oral Test Oral Test |
50 | |
Paper Presentation Paper Presentation |
50 |
授課大綱 Course Plan
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課程資訊 Course Information
基本資料 Basic Information
- 課程代碼 Course Code: 5302
- 學分 Credit: 0-3
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上課時間 Course Time:Tuesday/2,3,4[ST504]
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授課教師 Teacher:陳文豪
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修課班級 Class:理院3,4,碩博 (理院開)
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選課備註 Memo:全英授課
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