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課程名稱 |
流形導論
Introduction to Manifolds |
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開課學期 |
100-2 |
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授課對象 |
理學院 數學系 |
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授課教師 |
翁秉仁 |
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課號 |
MATH5418 |
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課程識別碼 |
221 U5130 |
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班次 |
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學分 |
3 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期三5,6(12:20~14:10)星期四5(12:20~13:10) |
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上課地點 |
天數305天數305 |
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備註 |
總人數上限：30人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1002_manifolds |
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課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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課程概述 |
The course is a continuation for the Geometry course in the last semester. We shall introduce general smooth manifold and some related topics to pave the way for the courses Riemannian Geometry, Differential Topology, or even Lie Groups Theory.
1. Manifold and the structure upon it
2. Tangent Bundle and Tensor
3. Differential Form, Calculus on Manifold, and Stokes’ Theorem
4. Introduction to Moving Frame method on Surface
5. Introduction to Morse Theory and Surface Classification
6. Introduction to Integrability
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課程目標 |
The course is a continuation for the Geometry course in the last semester. We shall introduce general smooth manifold and some related topics to pave the way for the courses Riemannian Geometry, Differential Topology, or even Lie Groups Theory. |
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課程要求 |
Geometry
Oral report(50%) and Final (50%) |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
Spivak, “A Comprehensive Introduction to Differential Geometry” Vol 1 chap1-chap6
Spivak, “Calculus on Manifolds”
黃武雄 “初等微分幾何講稿”
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參考書目 |
Spivak, “A Comprehensive Introduction to Differential Geometry” Vol 1 chap1-chap6
Spivak, “Calculus on Manifolds”
黃武雄 “初等微分幾何講稿”
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
口頭報告 |
50% |
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2. |
期末 |
50% |
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