Other Activities

Suggested Readings:

Foundation:

1. A Foundation Course in Mathematics, Ajit Kumar, S. Kumaresan, Bhaba Kumar Sarma, Narosa.

Linear Algebra:

1. Linear Algebra: A Geometric Approach, S. Kumaresan, Prentice Hall India Learning Private Limited. 

Real Analysis:  

1. A Basic Course in Real Analysis, Ajit Kumar, S. Kumaresan,  CRC Press.

2. Introduction to Real Analysis, Robert G. Bartle, Donald R. Sherbert, Wiley. 

3. Principles of Mathematical Analysis, Walter Rudin, Tata McGraw-Hill.

Metric Space:

1. Topology of Metric Spaces, S. Kumaresan, Narosa.

Complex Analysis:

1. Functions of one complex variable, John B. Conway, Springer.

2. Complex Function Theory, Donald Sarason, Hindustan Book Agency, India.

3. A Pathway to Complex Analysis: S. Kumaresan, Techno World.

4. Foundations of Complex Analysis, by S. Ponnusamy, Narosa.

5. Real and Complex Analysis, Walter Rudin, McGraw-Hill Education.

Topology:

1. Topology,  James R. Munkres, Prentice Hall India Learning Private Limited.

2. Basic Topology, M. A.  Armstrong, Springer.

Functional Analysis:

1.  Functional Analysis: A First Course, S. Kumaresan, D. Sukumar, Narosa.

2. Functional Analysis, B. V. Limaye, New Age International.

3. Functional Analysis-Walter Rudin,  McGraw-Hill Education.

As Organizer:

1.      Mini-MTTS Kolkata-2018, 24th December 2018 to 29th December, 2018.

2.      TEW on Analysis and Topology, 6th March 2023 to 11th March 2023.

3.      Initiation into Mathematics 2023, West Bengal, 01th   April, 2023 to 06th April, 2023.

4.      TEW on Topology, 5th -10th February, 2024.

5.      PTMT on Complex Analysis, 4th – 9th April, 2024.

As Resource Person:

1.     Delivered an invited talk titled “Unique Range Sets” in the International Web Conference on Advanced Research in Science, Humanities and Social Science (IWCARSHSS 2020), July 09 - 10, 2020, organised by the Department of Applied Mathematics, Maharaja Bir Bikram University, Agartala, Tripura, India.

2.    Delivered a one-hour talk titled “Linear Transformation” in Virtual mode on 19th August, 2020, organised by Sree Gopal College, West Bengal.

3.   Delivered a one-hour talk titled “Visual Proofs of Some well-known results” in Enrichment Programme for Students & Teachers (1st Phase) on ALGEBRA, ANALYSIS & DIFFERENTIAL EQUATIONS during 1st -2nd September, 2020, organised by Garhbeta College, West Bengal.

4.   Delivered an invited talk titled “An introduction to the Bruck Conjecture” in International Conference on Present Scenario of Mathematical Sciences (ICPSMS-2020, virtual), September 12-13, 2020 organized by Department of Mathematics, Karnatak University’s Karnatak Arts College, Dharwad, Karnataka, India held from 12-09-2020 to 13-09-2020.

5.  Delivered a three-hour talk titled “Connected Sets” in one web workshop entitled “Metric Spaces” from 22.03.21 to 28.03.21, especially for the UG students using the Google Meet platform, Department of Mathematics, Krishna Chandra College, Birbhum, West Bengal.

6.   Mentor at MTTS (O level) Camp at IISER Kolkata during 13th June, 2022-09th July, 2022.

7.   Mentor in Online Foundation Course in Mathematics conducted by MTTS trust, 2021, 2022, 2023, 2024.

8.   Tutor at TEW on Analysis and Topology, 6th March 2023 to 11th March 2023.

9.   Delivered a talk on Visual Mathematics at Purbachal Vidyapeeth, Chakdaha to celebrate Vigyan Chetana Divas in collaboration with Vigyan Prasan, India on 30th June, 2023.

10. Delivered a talk on “A Short Tour on Proof Without Words” in the one-day National Seminar “Role of Mathematics in various branches of science, organised by Dr. Meghnad Saha College, held on 19th June, 2023.

11. Delivered four lectures in the one-week workshop held at the Department of Mathematics, Ramakrishna Mission Vivekananda Centenary College, Rahara, during 19-24 June 2023.

12.  Delivered four lectures in MTTS Overture Program 2023, Cooch-behar, West Bengal, 28th   November, 2023 to 29th November, 2023.

13. Delivered a one-hour talk on “Proof Without Words” at the Department of Mathematics, A. B. N. Seal College, West Bengal, on 30th November, 2023.

14.  Delivered a one-hour talk on “Proof Without Words” at the Department of Mathematics, Jadavpur University, West Bengal, on 22nd December, 2023.

15.  Delivered a one-hour talk on “Proofs Without Words” at the Department of Mathematics, Garhbeta College, West Bengal, on 13th January, 2024.

16.  Tutor at TEW on Topology, 5th -10th February, 2024.

17.  Taught a two-week course on Riemann Integration at MTTS Level O Camp at Sikkim, from 10th June to 22nd June, 2024.

18.  Delivered four lectures in MTTS Overture Program 2024 (Medinipur City College), Medinipur, West Bengal, 2nd December 2024 to 3rd December 2024.

19.  Delivered two lectures in MTTS Overture Program 2024 (Garhbeta College), Medinipur, West Bengal, 4th December, 2024.

20. Delivered a talk on “Proofs without words” at the Department of Mathematics, University of North Bengal on 22nd December, 2024 (National Mathematics Day 2024).

21. Mentor at PTMT Camp on Complex Analysis at Sardar Patel University, Gujarat from 03rd March to 08th March, 2025.

22.  Delivered a talk on “Proofs without words” at the Department of Mathematics, Durgapur Govt. College on 26th March, 2025.

Important links:

ATM Schools,     MTTS ,   NPTEL,     CSIR,   UGC,   NBHM