Series of Lectures : 18.12.2024 to 21.12.2024
As part of the celebration of Ramanujan’s Birth Anniversary Week and to recognize Ramanujan’s contributions, spread awareness about mathematics and to inspire young people, the Department of Mathematics, Faculty of Engineering and technology, SRM Institute of Science and technology Ramapuram, Chennai, India organised a series of lectures.
Day – 1
Date: 18.12.24 Time: 2.30 PM IST
Topic : Contribution of Ramanujan towards Number Theory
Resource Person:
Dr. Subrata Kumar Sahu Department of Mathematics Arbaminch University Ethiopia
Dr. Subrata Kumar Sahu started the session with the general introduction of Number theory. He defined the fundamental theorem of arithmetic and modular arithmetic by suitable examples. Dr. Subrata Kumar Sahu detailed the Euclidean algorithm and explained how to represent and add integers in terms of modular arithmetic. Dr Subrata Kumar Sahu concluded the session with Fermat’s theorem and depicted applications of Ramanujan’s number in RSA and public key cryptography.
Day – 2
Date: 19.12.24 Time: 2.30 PM IST
Topic : Vedic Mathematics and Contribution of Ramanujan
Resource Person:
Dr. Tewele Assefa Welu Department of Mathematics Mekelle University
Ethiopia
Prof. Tewele Assefa Welu started the session with the introduction of Vedic mathematics and out- lined the origin of Vedic mathematics. He briefed Ramanujan’s early education and personal life and explained Ramanujan constant, Mock theta function, Ramanujan conjectures, Ramanujan prime and Ramanujan identities. Prof. Welu shared the experience of Srinivasa Ramanujan’s first research publication and the research experience in Trinity College, Cambridge with the British mathematician Godfrey H. Hardy. and detailed the Ramanujan’s research and his find- ings.
Day – 3
Date: 20.12.24 Time: 2.30 PM IST
Topic : Ramanujan Meet Friedmann
Resource Person:
Dr. Michele Nardelli Former Professor
Department of Geophysics and Volcanology Federico II University
Naples, Italy
Prof. Michele Nardelli started the session by introducing the mathematical connections arises from Ramanujan’s modular equation. Prof. Nardelli explained golden ratio (Ramanujan Re- curring number), Fibanacci number, Lucas number, Euler number, Hardy-Ramanujan number and Newtonian Gravitational constant. Prof. Nardelli concluded the session with few concrete examples which show how harmonic proportions and fundamental mathematical constants can be used to understand the structure and evolution of the universe.
Day – 4
Date: 21.12.24 Time: 2.30 PM IST
Topic : An Overview of the Historical Evolution of Fractional Calculus
Resource Person:
Dr. Anju Sood
Associate Proessor in Mathematics Sant Baba Bhag Singh Univeristy Jaladar, Punjab
Prof. Anju Sood started the session by defining fractional calculus and how to fit Srinivasa Ramanujan’s theory in fractional calculus. Prof. Sood elaborated Riemann Lioville’s definition, the Mittag-Leffler function, Riemann Lioville Fractional derivative, Caputo fractional derivative, one parameter generalization of exponential function and two parameter Mittag-Leffler function. Prof. Sood concluded the session with uses of some special functions in Fractional calculus.
More than 100 faculty members, researchers and students worldwide participated in this Series of Lectures. They took part enthusiastically in the discussions and gave positive feedback about the program.
