(18th to 21st Dec 2023)
Day – 1
Date: 18.12.2023
Time: 2.30 PM IST
Resource person:
Prof. Subrata Kumar Sahu
Department of Mathematics
Arbaminch University
Ethiopia
Topic: Evolution of Mathematics
Prof. Subrata Kumar Sahu started the session with general introduction to the topic and described the important aspects of Mathematics in Physics, Thermodynamics, Foundations of relativity, Stochastic world. He briefed on the contribution of great mathematicians like Alexandria, Plotinus, Muhammed ibn-Musa. Prof. Subrata Kumar Sahu concluded the session by explaining Arabic Islamic Mathematics, Indian Mathematics and Chinese Mathematics.
Day – 2
Date: 19.12.2023
Time: 02.30 PM IST
Resource person:
Prof. Michele Nardelli
Former Professor
Department of Geophysics and Volcanology
Federico II University
Naples, Italy
Topic : Ramanujan Series for Pi
Prof. Michele Nardelli focussed on recurring numbers, golden ratio and formula for π along with its decimal approximation. Prof. Nardelli explained the alternative forms of π and listed the various properties of the expression such as expanded logarithmic form, reduced logarithmic form, alternative representations, series representations, integral representations and decimal representations.
Day – 3
Date: 20.12.2023
Time: 02.30 PM IST
Resource person:
Prof. Vasuki K. R.
Professor & Chairman
Department of Studies in Mathematics
University of Mysore
Manasagangotri, Mysore, INDIA.
Topic: Applications of Ramanujan’s Theta Functions
Prof. Vasuki started the session with the properties of composite numbers. He derived the Ramanujan’s Summation formula in very clear and elaborated method. Prof. Vasuki extended the session with the derivation of Kronecker formula, Q- Binomial theorem. He also explained the number of ways of expressing the sum of squares and cubes of the numbers. Prof. Vasuki concluded the session with uses of Fermat’s Theorem and Ramanujan’s Sum.
Day – 4
Date: 21.12.2023
Time: 02.30 PM IST
Resource person:
Prof. Abeda S. Dodamani
Department of Mathematics
University of Eswatini
Swaziland, South Africa
Topic: Vedic Mathematics – A Mathematical Tale from Ancient Vedas to Modern Times
Prof. Abeda S. Dodamani started the session with a brief note on Vedic Mathematics, Vedic period, sixteen Sutras and a little history of several important mathematical concepts, mathematical astronomy. She elaborated the uses of Vedic Mathematics along with sixteen sutras. Prof. Abeda S. Dodamani solved the problems in an interesting manner using Vedic method and concluded the session by explaining the advantages of Vedic Maths.
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.