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Ramasubramanian, K.
- An Appraisal of the Greek and Indian Approaches in Determining the Surface Area of a Sphere
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Affiliations
1 IIT Bombay, IN
1 IIT Bombay, IN
Source
The Journal of the Indian Mathematical Society, Vol 85, No 1-2 (2018), Pagination: 139–169Abstract
While both the Greek and Indian civilisations have made immense contributions to the development of mathematics, their approaches to various problems widely differ, both in terms of the techniques employed by them and in their scope. We demonstrate this in the context of determining the surface area of a sphere. While the solution to this problem is attributed to Archimedes (3rd cent. BCE) in the Greek tradition, the first surviving proof in the Indian tradition can be found in Bhāskara’s Siddhāntaśiromaṇi (12th cent. CE). In this paper, we discuss the approaches taken by Archimedes and Bhāskara and compare their techniques from a mathematical as well as a pedagogical standpoint.Keywords
Archimedes, Bhaskara, Pedagogy, Sphere, Surface Area, Volume.References
- Sudhakara Dvivedi, editor. Mahāsiddhānta of Āryabhaṭa. Brajbhushan Das & Co., Benaras, 1910.
- Kedaradatta Joshi, editor. Siddāntaśiromaṇeḥ golādhyāyaḥ. Motilal Banarasidas, New Delhi, 1988.
- K. S. Shukla and K. V. Sarma, editors. Āryabhaṭīya of Āryabhaṭa with the commentary of Bhāskara I and Someśvara. Indian National Science Academy, New Delhi, 1976.
- Sudhakara Dvivedi, editor and commentator. Brahmasphuṭasiddānta and Dhyānagrahopadeśādhyāya by Brahmagupta. 1902. Reprint from The Pandit, Journal of Government Sanskrit College.
- Bina Chatterjee. Śiṣyadhīvṛddhidatantra of Lalla, Volume I. Indian National Science Academy, New Delhi, 1981.
- Sudyumnacharya, editor and translator. Triśatikā of Śrīdhara. Rashtriya Sanskrit Sansthan, New Delhi, 2004.
- R. C. Gupta. On the Date of Śrīdhara. In: Gaṇita Bhāratī. 9(1-4):54–56, 1987.
- L.C. Jain, editor. Mahāvīrāchārya’s Gaṇitasārasaṁgraha. Jaina Saṁskṛti Saṁrakshaka Saṁgha, Sholapur, 1963.
- R. C. Gupta. Mahāvīra-pheru Forumula for the Surface of a Sphere and some other Empirical Rules. Indian Journal of History of Science, 46(4):639–657, 2011.
- K. V. Sarma, editor. Līlāvatī of Bhāskarācārya with Kriyākramakarī. Vishveshvaranand Institute Publication, Hoshiarpur, 1975.
- Dattatreya Apte, editor. Līlāvatī of Bhāskara with Buddhivilāsinī and Vivaraṇa, Volume II. Ānandāśrama Sanskrit Book Series, 1937.
- Satyadeva Sharma. Siddāntaśiromaṇi with Sūryaprabhā Hindi Commentary. Chaukhamba Surabharati Prakashan, Varanasi, 2007.
- Thomas L. Heath. The Method of Archimedes. Cambridge University Press, 1912.
- Asger Aaboe. Episodes from The Early History of Mathematics, Volume 13. The Mathematical Association of America, 1st edition, 1964.
- Thomas L. Heath. The Works Of Archimedes. Cambridge University Press, 1897.
- Reviel Netz. The Works of Archimedes, Volume I. Cambridge University Press, 2010.
- C. H. Edwards Jr. The Historical Development of the Calculus. Springer-Verlag, New York, 1937.
- Larry J. Gerstein. Introduction to Mathematical Structures and Proofs. Springer-Verlag, New York, 1996.
- R. C. Gupta. Bhāskara II’s Derivation for the Surface of a Sphere. The Mathematics Education, 7:49–52, 1973.
- Takao Hayashi. Calculations of the Surface of a Sphere in India. The Science and Engineering Review of Doshisha University, 37(4):194–238, 1997.
- B. V. Subbarayappa (1925–2019)
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Authors
Affiliations
1 Indian Institute of Technology Bombay, Powai, Mumbai 400 076, IN
2 Indian Institute of Astrophysics, Bengaluru 560 034, IN
1 Indian Institute of Technology Bombay, Powai, Mumbai 400 076, IN
2 Indian Institute of Astrophysics, Bengaluru 560 034, IN
Source
Current Science, Vol 116, No 10 (2019), Pagination: 1758-1760Abstract
Benjamin Franklin once said: ‘Some people die at twenty-five and aren’t buried until they are seventy-five’. Obviously he refers to those who do not have any zest for life – and are not uncommon to see around. Unlike such people, B. V. Subbarayappa is one among those who live even after their death. He remains, and would ever remain as a colossus in the area of history of science, culture and philosophy in India. We offer here a personalized appreciation of him as an individual and a multifaceted scholar.- Suggestions for a National Framework for Publication of and Access to Literature in Science and Technology in India
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PDF Views:73
Authors
S. Chakraborty
1,
J. Gowrishankar
2,
A. Joshi
3,
P. Kannan
4,
R. K. Kohli
4,
S. C. Lakhotia
5,
G. Misra
6,
C. M. Nautiyal
7,
K. Ramasubramanian
8,
N. Sathyamurthy
3,
A. K. Singhvi
9
Affiliations
1 National Institute of Plant Genome Research, New Delhi, IN
2 Indian Institute of Science Education and Research Mohali, IN
3 Jawaharlal Nehru Centre for Advanced Scientific Research, Bengaluru, IN
4 Central University of Punjab, Bathinda, IN
5 Banaras Hindu University, Varanasi, IN
6 Indian Institute of Science, Bengaluru, IN
7 Indira Nagar, New Delhi, IN
8 Indian Institute of Technology, Mumbai, IN
9 Physical Research Laboratory, Ahmedabad, IN
1 National Institute of Plant Genome Research, New Delhi, IN
2 Indian Institute of Science Education and Research Mohali, IN
3 Jawaharlal Nehru Centre for Advanced Scientific Research, Bengaluru, IN
4 Central University of Punjab, Bathinda, IN
5 Banaras Hindu University, Varanasi, IN
6 Indian Institute of Science, Bengaluru, IN
7 Indira Nagar, New Delhi, IN
8 Indian Institute of Technology, Mumbai, IN
9 Physical Research Laboratory, Ahmedabad, IN
Source
Current Science, Vol 118, No 7 (2020), Pagination: 1026-1034Abstract
The outcome of deliberation on various aspects of publication and free access to scientific literature by a panel of nominated fellows from three science academies, viz. Indian National Science Academy, Indian Academy of Sciences, The National Academy of Sciences India, and expert invitees are presented.References
- Budapest Open Access Initiative; https://www.budapestopenaccessinitiative.org/read
- Brainard, J., Facing Plan S, publishers may set papers free. Science, 2019, 364(6441), 620.
- Plan S: Overlooked hybrid journal model; https://science.sciencemag.org/content/363/6426/461.2
- Proeject Deal; https://www.projekt-deal.de/about-deal/
- Carvalho, J., Laranjeira, C., Vaz, V. and Moreira. M. J., Monitoring a national open access funder mandate. Proc. Comp. Sci., 2017, 106, 283–290.
- Hashim, H. N. M., Facilitating Malaysia towards innovative society: Arguing the case for open access policy. Sixth IEEE International Conference on e–Science Workshops. IEEE, 2010, doi:10.1109/eScienceW.2010.33
- Ilva, J., Towards reliable data – counting the Finnish Open Access publications. Proc. Comp. Sci., 2017, 106, 299–304.
- Kirsop, D., Open Access and developing Countries: A report on the workshop, Electronic publishing and open access: Developing Country Perspectives, 2006.
- Schwartzkroin, A. and Shorvon, S.D., Public (open) access policy. Epilepsia, 2008, 49(8), 1295–1296; doi:10.1111/j.1528-1167. 2008.01733.
- The Delhi Declaration on Open Access by Open Access India; http://openaccessindia.org/delhi-declaration-on-open-access/
- Chaddhah, P. and Lakhotia, S. C., A policy statement on Dissemination and Evaluation of Research output in India by the Indian National Science Academy (New Delhi). Proc. Indian Natl. Sci. Acad., 2018, 84(2), 319–329.
- Madan, M., Kimidi, S. S., Gunasekaran, S. and Arunachalam, S., Should Indian researchers pay to get their work published? Curr. Sci., 2017, 112(4), 703–713.
- Lakhotia, S. C., Why are Indian research journals not making a mark? – The enemy is within. Curr. Sci., 2018, 115(12), 2187– 2188.
- Lakhotia, S. C., Mis-conceived and Mis-implemented academic assessment rules underlie the scourge of predatory journals and conference. Proc. Indian Natl. Sci. Acad., 2017, 83(3), 513–515.
- Madhan, M., Gunasekaran, S. and Arunachalam, S., Evaluation of research in India: are we doing it right? Indian J. Med. Ethics, Published online on 23 March 2018. doi:10.20529/IJME.2018.024
- DBT and DST open access Policy: Policy on open access to DBT and DST funded research; http://www.dst.gov.in/sites/default/files/APPROVED%20OPEN%20ACCESS%20POLICY-DBT%-26DST%2812.12.2014%29_1.pdf