MAT3102-01 (2012 1)

2012-01-30 12:00:42 2012-01-30 12:08:09 (2) 3 B132(227) 9,10,11(2)

e-mail byungheup@gmail.com, .

3 Hubbard Vector calculus 1-4 2 .

. 2 (complex and conformal structure) .

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: Modern Geometry - Methods and Applications. Part I. The Geometry of Surfaces, Transformation Groups, and Fields written by Dubrovin, Fomenko and Novikov, Springer GTM 93, ISBN 962-430-050-X : 1. Vector calculus, linear algebra and differential forms, a unified approach by J. and B. Hubbard 2. Calculus on manifolds by M. Spivak

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Syllabus in English

In this course, we aim to understand coordinate system of abstract differential manifold and tensors on it. We apply this to the complex and conformal structure of 2 dimensional manifolds. This will cover about the 1st half(ch. 1-3) of the main text.

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1 2012-03-02 2012-

03-08

Coordinate system. - .

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(3.2) (3.6 ~ 3.8)

2 2012-03-09 2012-

03-15

3 2012-03-16 2012-

03-22

4 2012-03-23 2012-

03-29 (3.28 ~ 3.29)

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2012-02-23http://ysweb.yonsei.ac.kr:8888/KK/kk04_r010pop2.jsp?srcform=myForm1&hakno=...

5 2012-03-30 2012-

04-05 Analytic and conformal structure of surfaces (3.30)

6 2012-04-06 2012-

04-12 (4.7) 1/3

7 2012-04-13 2012-

04-19

8 2012-04-20 2012-

04-26 (4.23 ~ 4.26)

9 2012-04-27 2012-

05-03 (4.27 ~ 4.28)

10 2012-05-04 2012-

05-10 Tensors (5.5)

11 2012-05-11 2012-

05-17 (5.15) 2/3

12 2012-05-18 2012-

05-24

13 2012-05-25 2012-

05-31 (5.28)

14 2012-06-01 2012-

06-07 (6.6)

15 2012-06-08 2012-

06-14

16 2012-06-15 2012-

06-21 (6.15 ~ 6.21)

2 / 2

2012-02-23http://ysweb.yonsei.ac.kr:8888/KK/kk04_r010pop2.jsp?srcform=myForm1&hakno=...