Рет қаралды 21,145
Timestamps:
0:00 Introduction and Welcome to Prof. K. Ramasubramanian
7:22 Prof. K. Ramasubramanian lecture beginning
9:22 Topic: The Golden Age of Indian Mathematics
11:06 Discovery of Mathematics by Indian Vedic Priest's
17:25 Discovery of PI in Mathematics
19:08 Dicovery of Square root of 2
22:18 Pascal's Triangle in Pingala Chandas Shastra which deals with problems that arrive for pure mathematicians
26:25 Ancient very efficient technique to obtain Geometric Sum
33:20 Decimal place value system
38:50 Notion of Zero and Infinity
41:31 Ancient technique of determining square root of n.
47:32 The Ubiquity of Mathematics by Mahaviracharya by Gaṇitasārasan̄graha
54:42 bhaskaracharya verse (A thre-in-one Verse)
56:39 Normal and Pan-Diagonal Magic Squares in Ganita Kaumudi
58:33 Recreational Mathematics: A Prahelika (Riddle)
1:00:37 Determination of time from shadow measurement
1:02:12 Computing Rsines: Approach in earlier Siddhantas
1:03:59 Finding tabular sines: Geometrical approach, Differential equation by Aryabhata
1:06:15 Bhaskara's Approximation
1:06:50 Achievement by Kerala Mathematicians
1:15:22 Attitude towards Indian Mathematics Discovery
1:18:19 Concluding Remarks
1:21:30 Q & A 1: how we lost notation to explain what is written shlokas and verses. Are there attempts made to understand how the notation works? if yes, how long will it take to or is it possible to push it to mainstream schools? Astronomy: how did they made qualitative results from numerical data?
1:26:50 Q & A 2: Modern science relies on the process called peer review to identify poor results from good one. What do you see it from the evidence you studied? what was their process identify poor results from good one?
1:30:43 Q & A 3: Info about Jain mathematics ancient school
1:31:51 Q & A 4: is there evidence that there are mathematical problems that were considered from engineering motivation, are there other languages in which the history of ancient mathematics is mentioned?
1:38:12 Q & A 5: Is there something that we have in the text which has been made or discovered yet by the west?
1:43:11 Q & A 6: Mode of communication and content of poetry
1:48:34 Q & A 7: Vasco de game came to India at the end of the 15th century and the Kerala school of mathematics was strong at that time. Is there evidence that western mathematics was influenced in a strong way by Indian mathematics?
1:52:20 Felicitating Momento to the speaker
1:53:09 Vote pf thanks
1:55:53 Group Photo Session with Speaker
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Profile of the Speaker:
Prof. K. Ramasubramanian is a Professor at IIT Bombay in the Cell for Indian Science and Technology in Sanskrit, Department of Humanities and Social Sciences. Prof. Ramasubramanian holds a doctorate in Theoretical Physics, a Bachelors in Engineering, and a Masters in Sanskrit. He is one of the authors who prepared detailed Explanatory Notes of the celebrated works Ganita-Yuktibhasha (Rationales in Mathematical Astronomy) and Tantrasangraha which brings out the seminal contributions of the Kerala School of astronomers and mathematicians in the field of Mathematics and Astronomy published by Springer U.S. and Hindustan Book Agency, New Delhi.
Besides this, he has edited other works in Indian Astronomy and Mathematics, as well as authored several research papers, both individually and jointly with others. In 2008, he was conferred the prestigious award of Maharshi Badarayan Vyas Samman by the President of India in recognition of his scholarship as well as the outstanding research work done by him to the process of synergy between modernity and tradition. In 2010, the National Academy of Sciences India honoured him by conferring upon him the R. C. Gupta Endowment Lecture Award. He got elected as a Council member of the International Union of History and Philosophy of Science and Technology in the year 2013. He was a Member of the Second Sanskrit Commission formed by the MHRD, Government of India, in the year 2014, and is a Member of the Central Sanskrit Board formed in 2015.
His research work primarily focused on trying to bring out the major contribution made by Kerala astronomers and mathematicians between 14th and 16th centuries referred to as the Golden Age of Indian Mathematics.
This lecture was delivered on 28th February 2019 at CLT, IIT Madras.
Disclaimer: The views and opinions expressed in this talk are those of the speaker.
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