ATMW Development of Mathematics in India (2013)
| Venue: | IIT Bombay |
| Dates: | 6th - 16th Feb, 2013 |
| Convener(s) | Speakers, Syllabus and Time table | Applicants/Participants |
| Name | K. Ramasubramanian | M. S. Sriram |
| Mailing Address | Cell for Indian Science and Technology in Sanskrit Department of HSS,IIT Bombay Powai, Mumbai - 400 076 |
Department of Theoretical Physics, University of Madras,Guindy Campus, Chennai - 600 025 |
(February 6–15, 2013)
| Registration 8.30 – 9.30 (Jal Vihar Foyer) |
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| Inaugural Function
Time: 9.30 – 10.45: Venue: Jal Vihar Conference Hall |
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| Introducing the Theme | 9.30 – 9.35 | Prof. K. Ramasubramanian Coordinator of the Workshop |
| Opening Remarks | 9.35 – 9.40 | Prof. K. Narayanan Head, Dept. of HSS, IIT Bombay |
| Welcome Address | 9.40 – 9.45 | Prof. Devang Khakhar Director, IIT Bombay |
| Inaugural Address | 9.45 – 9.55 | Prof. Anil Kakodkar Chairman, Board of Governers, IIT Bombay |
| Keynote Address | 9.55 – 10.40 | Prof. Roddam Narasimha FRS, Hon. Professor, JNCASR |
| Vote of Thanks | 10.40 – 10.45 | Prof. M. S. Sriram Coordinator of the Workshop |
| High Tea 10.45 – 11.15 (Jal Vihar Foyer ) |
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ATMW Development of Mathematics in India (2013) - Speakers and Syllabus
1 .Introduction
Mathematics has been pursued in different ways in different civilizations, depending on the social, cultural, economic, and even the religious contexts. Though the contribution of Indians like the invention of zero, the decimal place value system, etc. have been recognized, not enough attention has been paid to the the many noteworthy and path-breaking developments in Indian mathematics, especially post-Bhaskara II, in standard popular accounts. Even many scholarly accounts are either not up-to-date or miss out on some important aspects of Indian mathematics.The proposed workshop aims to provide a comprehensive, detailed, and authentic account of mathematics in India starting from the Vedic times till the end of mediaval period to students and research scholars working in different areas of mathematics. It would also be open to some of the interested teachers of mathematics in colleges and universties who would be seriouslyinterested in learning the contributions of Indians to the advancement of mathematics. The workshop/conference would be held under the auspices of Cell for Indian Science and Tech-nology in Sanskrit, IIT Bombay during February 6–16, 2013.
2. Resourse Material
The first comprehensive account of Mathematics in India was provided by Datta and Singh about 6 decades ago. A number of scholarly works have been written later by A. K. Bag, Saraswati Amma and others, and recently there has also appeared a detailed survey of the development of Indian Mathematics by Kim Plofker. As a part of the workshop, we intend to prepare resource material (≈ 400 pages) which may be given to the participants of the Workshop, which could serve as introduction and, wherever necessary, supplement to the above sources.
In the course of the workshop, we plan to present the growth of mathematics in India over a period of two millenia by broadly dividing it into three periods:
- Mathematics in the Ancient Period (prior to 500 ce)
- Mathematics during the Classical Age (500 – 1250 ce)
- Mathematics in the Medieval Period (1250 – 1750 ce)
3. Resourse persons and disribution of topics
| S.No. | Name | Affiliation |
| 1 | Prof. K. Ramasubramanian | Dept. of HSS, IIT Bombay |
| 2 | Prof. M. D. Srinivas | Chairman, Centre for Policy Studies, Chennai |
| 3 | Prof. M. S. Sriram | Dept. of Theor. Physics, Univ. of Madras |
We also plan to invite a few scholars such as Prof. Dani (formerly with TIFR), Prof. Amartya Dutta (ISI, Calcutta) and a few others to deliver guest lectures during the workshop, apart from their participation in the conference. Besides people from India, we expect a couple of international participants for the Conference.
The table below presents a brief outline of the topics to be covered/discussed by the resource persons during the workshop.
| Resource person | Outline of the topics to be covered |
| K. Ramasubramanian | Mathematical concepts in ancient scriptures Vedas, Pur ̄nas,etc.; The geometry, arithmetic and algebra discussed in ́Sulbas ̄tras, including approximations to surds and construction of different types of citis; Mathematics in Jaina and Bauddha texts; Aryabhata’s number system, his construction of sine table, his discussion onsequences and series and the solution of quadratic and linear indeterminate equation, and so on. |
| M. S. Sriram | Selected topics discussed in the Ganit ̄dhy ̄ya of Brahmagupta;Compuation of area and diagonals of a cyclic quadirlateral;Finding the volume of truncated pyramid; Solution to quadratic indeterminate equation; Second order interpolation formula dis-cussed in Khandakh ̄dyaka; The Bakshali Manuscript and some of the practical problems dealt in it; Certain interesting topics discussed in the works of Sr ipati; selected topics from the lilavati and Bijaganita of bhaskaracarya. |
| M. D. Srinivas | Upapatti or Demonstration in Indian mathematics; Relation between mathematics and other S ̄stras; Detailed discussion onselected topics in Ganitakaumud ̄ of N ̄r ̄yana Pandita; The contributions of the Kerala school of mathematics; Discussionon the systematic exposition of mathematics in the works of Jyesthadeva and Sankara V ̄riyar; Carrying forward the tradition of Bh ̄skar ̄c ̄rya; Brief survey of Indian mathematics in the modern period. Combinatorics in Pingala’s works; |
Time-table
| Day Count |
Session 1 (9.30–11.00) |
Session 2 (11.30–1.00) |
Session 3 (2.00–3.30) |
Session 4 (4.00–5.00) |
|||
| Feb 6 |
Inauguration Function |
T |
Mathematics in Vedas and Sulvasutras (KR) |
L B |
Introductory Overview (MDS) |
T
|
Jaina Mathematics and Decimal place value sytem (KR) |
| Feb 7 |
Mathematics in Aryabhatiya: Part I (KR) |
Brahmagupta’s Brahma-sphuta-siddhanta (MSS) | Mathematics & Other Sastras: Panini & Pingala (MDS) |
Seminar Presentation by Participants | |||
| Feb 8 |
Mathematics in Aryabhatiya: Part II (KR) |
Combinatorics (MDS) | Mahavira’s Ganitasarasangraha (MSS) |
Seminar Presentation by Participants | |||
|
Feb |
Bhaskara’s Lilavati: Part I (MSS) |
Bakshali Manuscript (KR) | Bijaganita of Bhaskara (MDS) | Tutorial 1 | |||
| Feb 10 | Bhaskara’s Lilavati: Part II (MSS) |
Development of Calculus in Kerala School (MDS) | Ganitakaumudi of Narayana Pandita: Part I (MSS) | Tutorial 2 | |||
| Feb 11 |
Ganitakaumudi of Narayana Pandita: Part II (MSS) |
Magic Squares (KR) | Proofs in Indian Mathematics (MDS) | Kuttaka and Cryptography (AD) | |||
| Feb 12 | Jyanayanam: From Aryabhata to Madhava (KR) |
Trigonometry of Bhaskara II & and Later works (MSS) | Indian Mathematics in Modern period (MDS) | Valedictory Function |
Abbreviations:
| MDS | M. D. Srinivas |
| KR | K. Ramasubramanian |
| MSS | M. S. Sriram |
| AD | Amartya Dutta (ISI, Calcutta) |
| Sr. | SID | Full Name | Gender | Affiliation | State | Position in College/ Univ. | Univ./ Institute M.Sc./ M.A. | Year of Passing M.Sc./ M.A | Ph.D. Deg. |
| 1 | 2296 | Ms. Neha Yadav | Male | Motilal Nehru National Institute of Technology | Uttar Pradesh | Research Scholar | Banasthali Univ., Jaipur | 2009 | -- |
| 2 | 2316 | Mr. Manoj Kumar Patel | Male | FET-Gurukul Kangri Univ. | Uttarakhand/ Uttaranchal | Asst Prof | Purvanchal Univ.,Jaunpur | 2004 | 1 Jul 2011 |
| 3 | 2356 | Mr. Arindum Mukhopadhyay | Male | IIT Kharagpur | West Bengal | Ph.D Student | IIT Kharagpur | 2009 | -- |
| 4 | 2359 | Dr. Anita Tomar | Female | Govt.Degree College Dakpathar | Uttarakhand/ Uttaranchal | Assoc Prof | HPU Shimla | 1985 | 10 Mar 2003 |
| 5 | 2371 | Mr Tarun Kumar Gupta | Male | Gurukula Kangri Vishwavidyalaya | Uttarakhand/ Uttaranchal | Ph.D Student | Gurukula Kangri Univ., Haridwar | 2007 | -- |
| 6 | 2382 | Mr. Krishna Kumar Mohbey | Male | MANIT Bhopal | Madhya Pradesh | Ph.D Student | RGPV Bhopal MP | 2009 | -- |
| 7 | 2389 | Ms. Snehal Suryakant Mitragotri | Female | Department of Mathematics, Shivaji Univ., Kolhapur | Maharashtra | Asst Prof | IIT, Roorkee | 2009 | -- |
| 8 | 2431 | Mr. D. Easwaramoorthy | Male | The Gandhigram Rural Institute – Deemed Univ. | Tamil Nadu | Ph.D. | Bharathidasan Univ., Tiruchirappalli. | 2008 | -- |
| 9 | 2489 | Mr Sameer Ahmad Gupkari | Male | Got Degree College | Jammu and Kashmir | Asst Prof | Univ. Of Kashmir | 2003 | -- |
| 10 | 2490 | Mr Ajaz Ahmad Dar | Male | Govt Higher Institution | Jammu and Kashmir | Lecturer | Univ. Of Kashmir | 2003 | -- |
| 11 | 2495 | Mr Lok Bikash Gogoi | Male | Duliajan college | Assam | Assoc Prof | Dibrugarh Univ. | 1992 | -- |
| 12 | 2531 | Mr Laxmi Kalyan Paikroy | Male | Dalmia college , rajgangpur | Orissa | Lecturer | Sambalpur Univ. | 1991 | -- |
| 13 | 2543 | Dr Indrani Pramod Kelkar | Female | Acharya Institute of Technology, Bangalore | Karnataka | Professor | I I T Mumbai | 1986 | 25 Jun 2006 |
| 14 | 2622 | Mr. Mahesh Puri Goswami | Male | Poornima Group of Institutions | Rajasthan | Asst Prof | Central Univ. of Rajasthan | 2012 | -- |
| 15 | 2629 | Ms. Arti Durlabhaji Chudasama | Female | Dr. Subhash Technical Campus | Gujarat | Asst. Prof. | Sardar Patel Univ., V.V.Nagar | 2010 | -- |
| 16 | 2635 | Mr Sajith Sajith Vs | Male | NSS College of Engineering, Palakkad | Kerala | Asst Prof | Univ. of Kerala | 2000 | -- |
| 17 | 2643 | Prof.K.Ram R Suresh | Male | Dept. Of Mathematics College of Engineering Trivandrum |
Kerala | Asst Prof | Univ. of Kerala | 1988 | -- |
| 18 | 2658 | Mr. Abdul Nadim Khan | Male | AMU, Alighar | Uttar Pradesh | Research Scholar | Bareilly college, Bareilly | 2009 | -- |
| 19 | 2694 | Mr Manas Gajare | Male | KTHM College, Nashik | Maharashtra | Asso. Prof. | KTHM College, Nashik | 2012 | -- |
| 20 | 2746 | Mr. Ashesh Kumar Jharwal | Male | Shivaji College, Univ. of Delhi | Delhi | Asst Prof | Ramjas College,Univ. of Rajasthan | 2006 | -- |
| 21 | 2764 | Ms Vanishri Ganapati Bhat | Female | IIT Bombay | Maharashtra | Ph.D Student | R S V P Tirupati | 2007 | -- |
| 22 | 2770 | Ms. Swati Verma | Female | Banasthali Vidyapith | Rajasthan | Research Associate | Delhi Univ. | 2010 | -- |
| 23 | 2780 | Dr. Omkar Lal Shrivastava | Male | Govt. Digvijay P.G. College Rajnandgaon | Chhattisgarh | Asst Prof | H.S.Gaur Univ. Sagar | 1988 | 24 May 2007 |
| 24 | 2785 | Ms. Rupali Vijay Kavishwar | Female | Univ. of Pune | Maharashtra | Ph.D Student | M.A.(Sanskrit) | 2005 | -- |
| 25 | 2789 | Mr. A Manivel | Male | Pachaiyappa's college | Tamil Nadu | M.Phil | Univ. of Madras | 2012 | -- |
| 26 | 2794 | Mr. Piyush Goyal | Male | S.C.D. Govt College for Boys, Ludhiana | Punjab | Lecturer | Panjab Univ., Chandigarh | 2011 | -- |
| 27 | 2798 | Mr. Sudhansu Kumar Nanda | Male | R.S.Vidyapeetha, Ttirupati | Andhra Pradesh | Research Scholar | M.A. in siddhanta jyotish | 2011 | -- |
| 28 | 2807 | Mrs Shailaja Mahadeva | Female | Government First Grade College, Bangalore Univ. | Karnataka | Asst Prof | Bangalore Univ. | 1992 | -- |
| 29 | 2809 | Mrs Rupa Ravi Prasad | Female | Global Academy of Technology | Karnataka | Asso.Prof | M.Sc/MES college/Bangalore | 1998 | -- |
| 30 | 2815 | Mrs Vanaja Venkatachalaiah C.N | Female | Government First Grade College | Karnataka | Asst Prof | Bangalore | 2001 | -- |
| 31 | 2816 | Ms. Kondapalli Krishna Sowmya | Female | Osmania Univ. College for Women | Andhra Pradesh | Asst. Prof. (c) | National Institute Of Mathematics, Calicut | 2010 | -- |
| 32 | 2842 | Prof. Ramana Murthy Venkata Josyula | Male | National Institute of Technology Warangal | Andhra Pradesh | Professor | Regional Engineering College, Warangal M.Sc | 1983 | 19 May 1991 |
| 33 | 2846 | Mrs Santhi Thiagarajan | Female | JKK Nataraja College Of Arts And Science | Tamil Nadu | Asst Prof | RIASM, Univ. OF MADRAS | 2000 | -- |
| 34 | 2855 | Dr. Tarun Kumar Garg | Male | Working as Satyawati College | Delhi | Assoc Prof | M.D.Univ. Rohtak, Haryana | 1992 | 7 Jul 1999 |
| 35 | 2861 | Mr. Vinay Arora | Male | Panjab Univ. Ssg Regional Centre | Punjab | Asst Prof | Panjab Univ. CHANDIGARH | 2001 | -- |
| 36 | 2867 | Dr Ram Prakash Sharma | Male | JECRC Univ. | Rajasthan | Professor | Univ. Of Rajasthan | 1992 | -- |
| 37 | 2869 | Dr. U K V Sarma | Male | IIT Bombay | Maharashtra | Research Associate | Rashtriya Sanskrit Vidyapeetha, Tirupati | 2003 | 18 Aug 2012 |
Waiting list
| Sr. | SID | Full Name | Gender | Affiliation |
State | Position in College/ Univ | Univ/ Institute M.Sc./M.A. | Year of Passing M.Sc./M.A | Ph.D. Degree Date |
| 1 | 2318 | Dr. Somna Mishra | Female | Institute of Management Studies, Noida | Uttar Pradesh | Asst Prof | Gurukula Kangri Vishwavidyalaya, Haridwar | 2002 | 12 Sep 2007 |
| 2 | 2598 | Mr. Sanyam Gupta | Male | Delhi Univ | Delhi | Student | Delhi Univ | Awaiting Result | -- |
| 3 | 2630 | Ms. Arnika Tripathi | Female | NITK Suratkhal | Karnataka | Student | DR B R A Univ Agra | 2008 | -- |
| 4 | 2703 | Mr. Arjun Gupta | Male | Gurukul kangri vishwavidayalya | Uttarakhand/ Uttaranchal | Research scholar | Kurukshetra Univ. kurukshetra | 2003 | -- |
| 5 | 2795 | Mr G Arockia Prabakar | Male | The Gandhigram Rural Institute – Deemed Univ | Tamil Nadu | Research scholar | Loyola College | 2008 | -- |
| 6 | 2804 | Dr. Sanjib Choudhury | Male | North Eastern Regional Institute of Science and Technology | Arunachal Pradesh | Guest Lecturer | Gauhati Univ | 2003 | 6 Oct 2012 |
| 7 | 2840 | Dr Ashok Kumar Goli | Male | M.V.G.R.R. Degree college | Andhra Pradesh | Reader In Mathematics | Osmania Univ, Hyderabad | 1986 | 4 May 1992 |
