• 沒有找到結果。

課程大綱及進度表

N/A
N/A
Protected

Academic year: 2022

Share "課程大綱及進度表"

Copied!
2
0
0

加載中.... (立即查看全文)

全文

(1)

課程大綱及進度表

開課系所 數學 系

開課學年 100

開課學期 1

課程名稱(中文) 幾何學(一) 課程名稱(英文) Geometry, I

課程碼 C133710

分班碼

先修科目或先備能力 高等微積分、線性代數

學分數 3

開課教師 洪英志

e-mail hong@math.ncku.edu.tw

電話 65141

Office Hours by appointment

課程概述 近代微分幾何學簡介

教學目標 希望使學生對近代微分幾何有適

度的瞭解

授課課程大綱明細

曲線、向量場、曲面、曲率、測地線、

Gauss-Bonnet Theorem 的初步研討。有 機會希望能介紹 Frobenius Theorem。

參考書目

Elementary Topics in Differential Geometry (Undergraduate Texts in Mathematics), J. A. Thorpe, 1979, Springer-Verlag.

Foundations of Differentiable Manifolds and Lie Groups (Graduate Texts in Mathematics), Frank W. Warner, 1983, Springer-Verlag.

課程要求 對近代微分幾何有適度的瞭解

(2)

評量方式 期中考佔40%、期末考佔40%、平 時成績佔20%。

缺席狀況扣分原則依照學校規定 辦理。

課程網址

助教資訊

備註

參考文獻

相關文件

• Can be applied to all the latent variable models including factor analysis, probabilistic PCA, mixture of factor analyzers, mixture of probabilistic PCA, mixture of Gaussians, etc..

• Given a 3D model (can be obtained by various vision algorithms or range sensors), how to capture the variation of object appearance under different viewing and

- Multi-layer perceptron with linear, logistic and softmax outputs and appropriate error functions. - Radial basis function (RBF) networks with both Gaussian and non-local

Peng Lu Kahler-Einstein metrics on Kummer threefold and special Lagrangian tori 787 Gloria Mari-Beffa and Peter J. Olver Differential invariants

Ireland, Kenneth F./Rosen, Michael I.: A Classical Introduction to Modern Number Theory, Volume 84 of Graduate Texts in Mathematics, Springer-Verlag, New York, Second Edition,

Ireland, Kenneth F./Rosen, Michael I.: A Classical Introduction to Modern Number Theory, Volume 84 of Graduate Texts in Mathematics, Springer-Verlag, New York, Second Edition,

Nathanson, Additive Number Theory: The Classical Bases, Graduate Texts in Math.. Nathanson, Additive Number Theory: Inverse Problems and the Geometry of Sumsets, Graduate Texts

Arnold, Mathematical Methods of Classical Mechanics, Graduate Texts in Math- ematics; 60, 1978.. do Carmo, Differential Geometry of Curves and Surfaces, Prentice-Hall,