- Asmar, N. H., Grafakos, L., 2018. Complex Analysis with Applications. Springer Nature, Cham.
- Asmar N., Grafakos L. Solutions to Selected Exercises in Complex Analysis with Applications.
- Errata: Asmar, N. H., Grafakos, L., 2018. Complex Analysis with Applications.
- Howie, J. M., 2003. Complex Analysis. Springer-Verlag, NY.
- Howie, J. M., 2001. Real Analysis. Springer-Verlag, NY.
- Lang, S., 1998. Complex Analysis. 4th ed., Springer-Verlag, NY.
- Shakarchi, R. 1998. Problems and Solutions for Complex Analysis. Springer-Verlag, NY.
- Burckel, R. B., 2021. Classical Analysis in the Complex Plane. Springer, Cham.
- Pólya, G., Szegö, G., 1998. Problems and Theorems in Analysis I: Series. Integral Calculus. Theory of Functions. Springer-Verlag, Berlin.
- Pólya, G., Szegö, G., 1998. Problems and Theorems in Analysis II: Theory of Functions. Zeros. Polynomials. Determinants. Number Theory. Geometry. Springer-Verlag, Berlin.
- Pap, E., 1999. Complex Analysis through Examples and Exercises. Kluwer, Amsterdam.
- Bak, J., Newman, D. J., 2010. Complex Analysis. 3rd ed., Springer, NY.
- Ash, R. B., Novinger, P. W., 2007. Complex Variables. 2nd ed., Dover Publications.
- Complex Analysis: A Visual and Interactive Introduction 幾何視覺觀點的複變函數論介紹。
- 期中考(50%)04/16 1310 ~ 1500。考試範圍: 02/20 ~ 04/11 講授章節。
- 學期考(50%)06/13 1310 ~ 1500。考試範圍: 04/18 ~ 06/06 講授章節。
- 考試題目出自講授章節中「課堂講解之例題」與「附有詳解之習題」(題號 4 k + 1,k 為非負整數)。
上課時間 | 講授章節 |
---|---|
02/20, 02/22 | 1.1 -- 1.3 |
02/27, 02/29 | 1.3 -- 1.5 |
03/05, 03/07 | 1.5 -- 1.8 |
03/12, 03/14 | 2.1 -- 2.3 |
03/19, 03/21 | 2.3 -- 2.5 |
03/26, 03/28 | 2.5, 3.1 -- 3.3 |
04/09, 04/11 | 3.3 -- 3.6 |
04/16 期中考, 04/18 | 3.7 -- 3.8 |
04/23, 04/25 | 3.8 -- 3.9 |
04/30, 05/02 | 4.1 -- 4.4 |
05/07, 05/09 | 4.5 |
05/14, 05/16 | 4.5 -- 4.6, 5.1 |
05/21, 05/23 | 5.1 -- 5.3 |
05/28, 05/30 | 5.3 -- 5.5 |
06/04, 06/06 | 5.5 -- 5.7 |
06/13 學期考 |
x.y.z 表 x.y 節第 z 題。
- 1.1.33, 1.1.49
- 1.2.45
- 1.3.53
- 1.4.13, 1.4.17
- 1.5.9, 1.5.37, 1.5.45
- 1.6.25, 1.6.29
- 1.7.1, 1.7.21, 1.7.33, 1.7.53
- 1.8.13, 1.8.17, 1.8.25, 1.8.37, 1.8.49, 1.8.53
- 2.2.9, 2.2.25, 2.2.29
- 2.3.21
- 2.4.1, 2.4.5
- 2.5.5, 2.5.13, 2.5.33, 2.5.37
- 3.2.5, 3.2.29, 3.2.41
- 3.3.5, 3.3.25, 3.3.33
- 3.4.1, 3.4.5
- 3.7.29, 3.7.33
- 3.8.13, 3.8.29
- 3.9.9, 3.9.17, 3.9.25
- 4.4.13, 4.4.17, 4.4.25, 4.4.29
- 4.5.17, 4.5.29, 4.5.33
- 4.6.1, 4.6.5, 4.6.9, 4.6.13
- 5.1.17, 5.1.29
- 5.2.1, 5.2.5
- 5.3.5, 5.3.13, 5.3.21, 5.3.25
- 5.4.1, 5.4.5, 5.4.13, 5.4.17
- 5.5.1, 5.5.5
- 5.6.1, 5.6.9
- 5.7.9, 5.7.13, 5.7.17
杜昌燁 cwtu320313 @ googlemail.com