Divergent Series
Article: Euler and His Work on Infinite Series.
This is an interesting article that gives some historical and overall perspective to the topic we have been dealing with. I encourage you to look through it even if you may not be able to follow all the arguments.
Meeting time & venue
Semester I: Monday 2-4pm, CRB = S14 #03-09
Semester II: Monday 2-4pm, Maths Studio = S14 #03-01
Schedule of talks
Semester I
| Date | 27 August | 3 September | 10 September | 17 September | 1 October | 8 October | 15 October | 22 October |
| Speaker(s) | D. Leung | D. Leung | Tan Tian Sheng | Abegail Wee | Winnifred Lim | Kumar | Abegail Wee | Winnifred Lim |
| - | - | Kumar | Seow Jun Jie | Liang Peiyun | Tan Tian Sheng | Seow Jun Jie | Liang Peiyun |
| Date | 14 January | 21 January | 28 January | 4 February | 11 February | 18 February |
| Speaker(s) | Tan Tian Sheng | Abegail Wee | Winnifred Lim | Tan Tian Sheng | Abegail Wee | Winnifred Lim |
| Kumar | Seow Jun Jie | Liang Peiyun | Kumar | Seow Jun Jie | Liang Peiyun |
Detailed schedule
| Date: | 27 August |
| Speaker: | D. Leung |
| Topic: | Fourier series |
| Date: | 3 September |
| Speaker: | D. Leung |
| Topic: | Cesaro and Abel summability |
| Date: | 10 September | |
| Speakers: | Tan Tian Sheng | Kumar |
| Topics: |
Matrix transformations I (3) |
Norlund means (5) |
| Date: | 17 September | |
| Speakers: | Wee Ee Joo Abegail | Seow Jun Jie |
| Topics: |
Euler and Abelian means (6) |
Holder and Cesaro means (7) |
| Date: | 1 October | |
| Speakers: | Lim Zhi Jun Winnifred | Liang Peiyun |
| Topics: |
Tauberian theorems for Cesaro means (9) |
Euler and Borel means (11) |
| Date: | 8 October | |
| Speakers: | Kumar | Tan Tian Sheng |
| Topics: | Norlund means 2 (5) | Matrix transformations I.2 (3) |
| Date: | 15 October | |
| Speakers: | Wee Ee Joo Abegail | Seow Jun Jie |
| Topics: |
Euler and Abelian means 2 (6) |
Holder and Cesaro means 2 (7) |
| Date: | 22 October | |
| Speakers: | Lim Zhi Jun Winnifred | Liang Peiyun |
| Topics: |
Tauberian theorems for Cesaro means 2 (9) |
Euler and Borel means 2 (11) |
Semester II
| Date: | 14 January | |
| Speakers: | Tan Tian Sheng | Kumar |
| Topics: |
Matrix transformations II (4) |
Norlund means 3 (5) |
| Date: | 21 January | |
| Speakers: | Wee Ee Joo Abegail | Seow Jun Jie |
| Topics: |
Euler and Abelian means 3 (6) |
Arithmetic means (7) |
| Date: | 28 January | |
| Speakers: | Lim Zhi Jun Winnifred | Liang Peiyun |
| Topics: |
Tauberian theorems for Abel means (10) |
Multiplication of series (13) |
| Date: | 4 February | |
| Speakers: | Tan Tian Sheng | Kumar |
| Topics: |
Matrix transformations II (4) |
Asymptotic series (16) |
| Date: | 11 February | |
| Speakers: | Wee Ee Joo Abegail | Seow Jun Jie |
| Topics: |
Euler and Abelian means 4 (6) |
Holder and Cesaro means (7) |
| Date: | 18 February | |
| Speakers: | Lim Zhi Jun Winnifred | Liang Peiyun |
| Topics: |
Tauberian theorems for Abel means (10) |
Multiplication of series (13) |
Notes
| Author | Topic |
| Tan Tian Sheng | Matrix transformations I, Matrix transformations II.1, Matrix transformations II.2 |
| Kumar | Norlund means, Asymptotic series |
| Wee Ee Joo Abegail | Euler and Abelian means |
| Seow Jun Jie | Holder and Cesaro means, Arithmetic means |
| Lim Zhi Jun Winnifred | Tauberian theorems |
| Liang Peiyun | Euler and Borel means, Euler and Borel means 2, Multiplication of series |
| Denny H.
Leung Department of Mathematics National University of Singapore Singapore 117543 Republic of Singapore |
matlhh (at) nus (dot) edu (dot) sg (65) 6516-6252 (office) (65) 6779-5452 (fax) |
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Last Modified: 15 February 2008