Indian Contributions to Science
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Sripati: an Eleventh-Century Indian Mathematician
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Elsevier - Publisher Connector HlSTORlA MATHEMATICA 12 (1985). 2.544 Sripati: An Eleventh-Century Indian Mathematician KRIPA NATH SINHA University of Kalyani, P.O. Kalyani, District Nadia, West Bengal, India Srlpati (fl. A.D. 1039-1056) is best known for his writings on astronomy, arithmetic, mensuration, and algebra. This article discusses Sripati’s arithmetic, the Ganitatilaka, as well as the arithmetical and algebraic chapters of the SiddhdntaSekhara. In addition to discussing the kinds of problems considered by Srlpati and the techniques he used to solve them, the article considers the sources upon which Sripati drew. A glossary of Indian treatises and technical terms is provided. o 1985 Academic PKSS. IOC. Srlpati (actif vers 1039-1056 ap. J.C.) est surtout connu pour ses Ccrits sur I’astronomie, I’arithmetique, le toise, et I’algebre. Dans cet article, nous abordons I’arithmetique de Sripati, le Ganitatilaka, de m&me que les chapitres arithmetiques et algebriques de son SiddhrintaSekh’ara. En plus d’aborder les types de problemes Ctudies par Sripati et les techniques qu’il a employees pour les resoudre, nous exminons aussi les sources auxquelles Srlpati fait appel. Un glossaire des trait& et des termes techniques indiens complete cet article. 0 1985 Academic Press, Inc. Sripati, der zwischen 1039 und 1056 wirkte, ist vor allem durch seine Schriften tiber Astronomie, Arithmetik, Mensuration und Algebra bekannt. In diesem Beitrag werden seine Arithmetik, die Gavitatilaka, und die arithmetischen und algebraischen Kapitel aus SiddhhtaSekhara behandelt. Neben der Art der Probleme, die Srlpati studierte, und den von ihm verwendeten Losungsmethoden werden such die von ihm benutzten Quellen be- trachtet. -
Making India Proud
Making India Proud Inspiring Stories of Young Indian Innovators Unless the real importance of pure science is recognised, and its fundamental influence in the advancement of all knowledge is realised and acted upon, India cannot make headway in any direction and attain her place among the nations of the world. There is only one solution for India’s economic problems and that is science and more science and still more science. Sir C V Raman Nobel Laureate for Physics in 930 Making India Proud Inspiring Stories of Young Indian Innovators 3 Contents Foreword ............................................................................................................................. 9 Sharanya S The Joy Of Discovery ........................................................................................ 56 The Story So Far ........................................................................................................ 10 Amruth B R Glimpses of Excellence ........................................................................................ 12 All I Need Are Wings ......................................................................................... 60 Madhurima Benakareddy Sameer Yeleswarapu It All Started With A Seed ............................................................................ 21 A Winner From Every Angle ...................................................................... 67 Sarvesh Rathore Zeeshan Ali Sayyed Curiosity Has Its Rewards .......................................................................... -
General Index
General Index Italic page numbers refer to illustrations. Authors are listed in ical Index. Manuscripts, maps, and charts are usually listed by this index only when their ideas or works are discussed; full title and author; occasionally they are listed under the city and listings of works as cited in this volume are in the Bibliograph- institution in which they are held. CAbbas I, Shah, 47, 63, 65, 67, 409 on South Asian world maps, 393 and Kacba, 191 "Jahangir Embracing Shah (Abbas" Abywn (Abiyun) al-Batriq (Apion the in Kitab-i balJriye, 232-33, 278-79 (painting), 408, 410, 515 Patriarch), 26 in Kitab ~urat ai-arc!, 169 cAbd ai-Karim al-Mi~ri, 54, 65 Accuracy in Nuzhat al-mushtaq, 169 cAbd al-Rabman Efendi, 68 of Arabic measurements of length of on Piri Re)is's world map, 270, 271 cAbd al-Rabman ibn Burhan al-Maw~ili, 54 degree, 181 in Ptolemy's Geography, 169 cAbdolazlz ibn CAbdolgani el-Erzincani, 225 of Bharat Kala Bhavan globe, 397 al-Qazwlni's world maps, 144 Abdur Rahim, map by, 411, 412, 413 of al-BlrunI's calculation of Ghazna's on South Asian world maps, 393, 394, 400 Abraham ben Meir ibn Ezra, 60 longitude, 188 in view of world landmass as bird, 90-91 Abu, Mount, Rajasthan of al-BlrunI's celestial mapping, 37 in Walters Deniz atlast, pl.23 on Jain triptych, 460 of globes in paintings, 409 n.36 Agapius (Mabbub) religious map of, 482-83 of al-Idrisi's sectional maps, 163 Kitab al- ~nwan, 17 Abo al-cAbbas Abmad ibn Abi cAbdallah of Islamic celestial globes, 46-47 Agnese, Battista, 279, 280, 282, 282-83 Mu\:lammad of Kitab-i ba/Jriye, 231, 233 Agnicayana, 308-9, 309 Kitab al-durar wa-al-yawaqft fi 11m of map of north-central India, 421, 422 Agra, 378 n.145, 403, 436, 448, 476-77 al-ra~d wa-al-mawaqft (Book of of maps in Gentil's atlas of Mughal Agrawala, V. -
AN ACCOUNT of INDIAN ASTRONOMICAL HERITAGE from the 5Th CE to 12Th CE Astronomical Observation Is the Beginning of Scientific At
Publications of the Korean Astronomical Society pISSN: 1225-1534 30: 705 ∼ 707, 2015 September eISSN: 2287-6936 c 2015. The Korean Astronomical Society. All rights reserved. http://dx.doi.org/10.5303/PKAS.2015.30.2.705 AN ACCOUNT OF INDIAN ASTRONOMICAL HERITAGE FROM THE 5th CE to 12th CE Somenath Chatterjee Sabitri Debi Institute of Technology (School of Astronomy) BANAPRASTHA, P.O. Khamargachi DT Hooghly PIN 712515 India E-mail: [email protected] (Received November 30, 2014; Reviced May 31, 2015; Aaccepted June 30, 2015) ABSTRACT Astronomical observation is the beginning of scientific attitudes in the history of mankind. According to Indian tradition, there existed 18 early astronomical texts (siddhantas) composed by Surya, Pitamaha and many others. Varahamihira compiled five astronomical texts in a book named panchasiddhantika, which is now the link between early and later siddhantas. Indian scholars had no practice of writing their own names in their works, so, it is very difficult to identify them. Aryabhata is the first name noticed, in the book Aryabhatiya. After this point most astronomers and astro-writers wrote their names in their works. In this paper I have tried to analyze the works of astronomers like Aryabhata, Varahamihira, Brah- magupta, Bhaskara I, Vateswara, Sripati and Bhaskaracharya in a modern context and to obtain an account of Indian astronomical knowledge. Aryabhata is the first Indian astronomer who stated that the rising and setting of the Sun, the Moon and other heavenly bodies was due to the relative motion of the Earth caused by the rotation of the Earth about its own axis. -
IISER Pune Annual Report 2015-16 Chairperson Pune, India Prof
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Nominations for Different “Academy Awards/Lectures/ Medals”
The National Academy of Sciences, India (NASI) 5, Lajpatrai Road, Prayagraj – 211002 Prof. Paramjit Khurana Ph.D., FNA, FASc, FNAAS, FTWAS, FNASc Prof. Satya Deo Ph.D. (Arkansas, USA), F.N.A.Sc. General Secretaries June 15, 2021 Subject : Nominations for different “Academy Awards/Lectures/Medals” Dear Fellows, I request you to kindly send nominations for the following “Academy Awards/Lectures/Medals”– 1. Prof. Meghnad Saha Memorial Lecture Award (2021) 2. Prof. N.R. Dhar Memorial Lecture Award (2021) 3. Prof. Archana Sharma Memorial Lecture Award (2021) 4. Prof. M.G.K. Menon Lecture Award (2021) 5. Prof. M.G.K. Menon Memorial Award (2021) 6. Prof. V. P. Sharma Memorial Lecture Award (2021) 7. Prof. A.K. Sharma Memorial Lecture Award (2021) 8. Prof. Prafulla Chandra Ray Memorial Lecture Award (2021) 9. Prof. S.K. Joshi Memorial Lecture Award (2021) 10. Prof. A.C. Banerji Memorial Lecture Award (2021) 11. Dr. B.P. Pal Memorial Lecture Award (2021) 12. Dr. P. Sheel Memorial (Young Women Scientist) Lecture Award (2021) 13. Prof. B.K. Bachhawat Memorial Lecture Award (2021) 14. Prof. U.S. Srivastava Memorial Lecture Award (2021) 15. Lecture Award in the field of Biodiversity (2021) 16. NASI-Buti Foundation Lecture Award (2021) The nomination papers duly completed in all respect should be emailed to NASI on [email protected] latest by July 15, 2021. No hard copy is required for this year; kindly send the nomination on aforesaid email only (not on any other email id of NASI). The copy of Regulations regarding these Academy Awards/Lectures/Medals and the names of past recipients are enclosed. -
Secondary Indian Culture and Heritage
Culture: An Introduction MODULE - I Understanding Culture Notes 1 CULTURE: AN INTRODUCTION he English word ‘Culture’ is derived from the Latin term ‘cult or cultus’ meaning tilling, or cultivating or refining and worship. In sum it means cultivating and refining Ta thing to such an extent that its end product evokes our admiration and respect. This is practically the same as ‘Sanskriti’ of the Sanskrit language. The term ‘Sanskriti’ has been derived from the root ‘Kri (to do) of Sanskrit language. Three words came from this root ‘Kri; prakriti’ (basic matter or condition), ‘Sanskriti’ (refined matter or condition) and ‘vikriti’ (modified or decayed matter or condition) when ‘prakriti’ or a raw material is refined it becomes ‘Sanskriti’ and when broken or damaged it becomes ‘vikriti’. OBJECTIVES After studying this lesson you will be able to: understand the concept and meaning of culture; establish the relationship between culture and civilization; Establish the link between culture and heritage; discuss the role and impact of culture in human life. 1.1 CONCEPT OF CULTURE Culture is a way of life. The food you eat, the clothes you wear, the language you speak in and the God you worship all are aspects of culture. In very simple terms, we can say that culture is the embodiment of the way in which we think and do things. It is also the things Indian Culture and Heritage Secondary Course 1 MODULE - I Culture: An Introduction Understanding Culture that we have inherited as members of society. All the achievements of human beings as members of social groups can be called culture. -
1. Essent Vol. 1
ESSENT Society for Collaborative Research and Innovation, IIT Mandi Editor: Athar Aamir Khan Editorial Support: Hemant Jalota Tejas Lunawat Advisory Committee: Dr Venkata Krishnan, Indian Institute of Technology Mandi Dr Varun Dutt, Indian Institute of Technology Mandi Dr Manu V. Devadevan, Indian Institute of Technology Mandi Dr Suman, Indian Institute of Technology Mandi AcknowledgementAcknowledgements: Prof. Arghya Taraphdar, Indian Institute of Technology Kharagpur Dr Shail Shankar, Indian Institute of Technology Mandi Dr Rajeshwari Dutt, Indian Institute of Technology Mandi SCRI Support teamteam:::: Abhishek Kumar, Nagarjun Narayan, Avinash K. Chaudhary, Ankit Verma, Sourabh Singh, Chinmay Krishna, Chandan Satyarthi, Rajat Raj, Hrudaya Rn. Sahoo, Sarvesh K. Gupta, Gautam Vij, Devang Bacharwar, Sehaj Duggal, Gaurav Panwar, Sandesh K. Singh, Himanshu Ranjan, Swarna Latha, Kajal Meena, Shreya Tangri. ©SOCIETY FOR COLLABORATIVE RESEARCH AND INNOVATION (SCRI), IIT MANDI [email protected] Published in April 2013 Disclaimer: The views expressed in ESSENT belong to the authors and not to the Editorial board or the publishers. The publication of these views does not constitute endorsement by the magazine. The editorial board of ‘ESSENT’ does not represent or warrant that the information contained herein is in every respect accurate or complete and in no case are they responsible for any errors or omissions or for the results obtained from the use of such material. Readers are strongly advised to confirm the information contained herein with other dependable sources. ESSENT|Issue1|V ol1 ESSENT Society for Collaborative Research and Innovation, IIT Mandi CONTENTS Editorial 333 Innovation for a Better India Timothy A. Gonsalves, Director, Indian Institute of Technology Mandi 555 Research, Innovation and IIT Mandi 111111 Subrata Ray, School of Engineering, Indian Institute of Technology Mandi INTERVIEW with Nobel laureate, Professor Richard R. -
ASTRONOMERS INDEX Aryabhata (B.476),17,78, 197-201 . Abd Al
ASTRONOMERS INDEX Aryabhata (b.476),17,78, Bhadrabahu (contemporary 86,89 ,94,97,101-102,104,106, of Varahamihira),110. 197-201 . Bhattotpala (10th Century),11 0. Abd al-Munim-al-AmilI,215,2l6. Brahmagupta ^628),82,86. C Abi-1-Bijal's,175. Abd al-Jabbar al-KharaqI,204. Abu Abd Allah Muhammad ibn Caliph Mansur (754-775) of Abl Bakr Al-Farisl,203. Baghdad, 139• Abu Muhammad Ata b. Ahmad, 1 79. Callippus,67- Abu Nasr ibn Iraq (10th Copernicus,69,209,273• cent.),212. De Bois,235. Abu'1-Wafa' (940-998 ) ,209 ,210. De La Hi re, 23 6. Abu'l-Husayn al-Sufi (d.986),156. Edmond Halley (1686),111,256. Abu-Mac Shar,154. Eratosthenes,69 . al-Battani al-Sabi Euclid (fl.ca. 295 B.C.),65,21 0. (858-929), 175,209- Eudoxus (ca. 400-347 B.C),67. al-Blrunl (9 73-1048 ) ,133 ,1 44 . Fakhr al-Din Gurgani al-BitrujI (twelfth (around 1050), 155. century),178. Father Christoph,26l . al-Fahhad,204. Flamsteed,236. al-Hajjag,157. Galileo Galelei,26l. al-Kashi (fl.1420),144. Galileo,261 . Al-Khwarizmi (d.860),176. Ganesa Daivajna (b. 1507),193• al-Marzuqi (d 1030),154. Geminus,72. al-Qayini (10th century),21 6. Hipparchus,70,72,209• al-Qazwinld (d 1283),154. Hyp sides,70. al-ShirazI,204. Ibn Asim (d.1013),154. al-Shirwani,204. -al-Ajdabi ( d. prior Cal-CUrdi (1260),21 6,222. to 1203),154. al-Zarqalluh,1 75,1 79• -ash-Shatir,273• Aluel ben Yesha ,203• -Qutayba (d.884 or 889),154. -
Astronomy in India
TRADITIONSKnowledg & PRACTICES OF INDIA e Textbook for Class XI Module 1 Astronomy in India CENTRAL BOARD OF SECONDARY EDUCATION Shiksha Kendra, 2, Community Centre, Preet Vihar, Delhi-110 092 India TRADITIONSKnowledg & PRACTICESe OF INDIA Textbook for Class XI Module 1 Astronomy in India CENTRAL BOARD OF SECONDARY EDUCATION Shiksha Kendra, 2, Community Centre, Preet Vihar, Delhi-110 092 India No part of this publication may be reproduced or stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical photocopying, recording or otherwise, without the prior permission of the Central Board of Secondary Education (CBSE). Preface India has a rich tradition of intellectual inquiry and a textual heritage that goes back to several hundreds of years. India was magnificently advanced in knowledge traditions and practices during the ancient and medieval times. The intellectual achievements of Indian thought are found across several fields of study in ancient Indian texts ranging from the Vedas and the Upanishads to a whole range of scriptural, philosophical, scientific, technical and artistic sources. As knowledge of India's traditions and practices has become restricted to a few erudite scholars who have worked in isolation, CBSE seeks to introduce a course in which an effort is made to make it common knowledge once again. Moreover, during its academic interactions and debates at key meetings with scholars and experts, it was decided that CBSE may introduce a course titled ‘Knowledge Traditions and Practices of India’ as a new Elective for classes XI - XII from the year 2012-13. It has been felt that there are many advantages of introducing such a course in our education system. -
A Note on Some Sanskrit Manuscripts on Astronomical Instruments
4.6 A NOTE ON SOME SANSKRIT MANUSCRIPTS ON ASTRONOMICAL INSTRUMENTS Yukio Ohashi (Visiting Scholar) Dept. of Mathematics, University of Lucknow, Lucknow, India. (Permanent address: 3-5-26 Hiroo,Shibuya-ku,Tokyo,Japan) INTRODUCTION The earliest astronomical instruments in India are the sarku (gnomon) and the gha%ika (clepsydra). The former is mentioned in the Sulbasutras, and the latter in the Vedafqajyotisa. Aryabhata described a rotating model of the celestial sphere. After Aryabhata, several instru ments were described by Varahamihira, Brahmagupta,Lalla, Srlpati, and Bhaskara II. After Bhaskara II, some Sanskrit texts specialized on astronomical instruments were composed. The earliest text of this kind is the Yantra-raja (AD 1370) written by Mahendra Suri. It is also the first text on the astrolabe in Sanskrit. After Mahendra Suri, Padmanabha, Cakradhara, Ganesa-Daivajna etc. composed Sanskrit texts on instruments, but most of them remain unpublished. YANTRA-KIRANAVALI OF PADMANABHA Padmanabha composed the Yantra-kirariavaU or Yantra- ratnavali (ca.AD 1400), of which Chapter II entitled Dhruvabhramaria- adhikara is well known1. The dhruvabhramana-yantra is a rectangular board with a slit to observe the "polar fish" (a group of stars around the North Pole) for finding time. The Tagore Library of Lucknow_University has a unique manuscript of its Chapter I, namely the Yantraraja-adhikara. 2 It consists of 11 6 verses and has a commentary, probably written by its author Padmanabha him self . It describes the construction and use of an astrolabe. Padmanabha takes the circumference of the instrument as the diurnal circle of the first point of Cancer, and draws the diurnal circles of the first points of Aries and Capricorn inside. -
Ancient Indian Mathematics – a Conspectus*
GENERAL ARTICLE Ancient Indian Mathematics – A Conspectus* S G Dani India has had a long tradition of more than 3000 years of pursuit of Mathematical ideas, starting from the Vedic age. The Sulvasutras (which in- cluded Pythagoras theorem before Pythagoras), the Jain works, the base 10 representation (along with the use of 0), names given to powers of 10 S G Dani is a Distinguished up to 1053, the works of medieval mathematicians Professor at the Tata motivated by astronomical studies, and ¯nally Institute of Fundamental Research, Mumbai. He the contributions of the Kerala school that came obtained his bachelor’s, strikingly close to modern mathematics, repre- master’s and PhD degrees sent the various levels of intellectual attainment. from the University of Mumbai. His areas of There is now increasing awareness around the world that interest are dynamics and as one of the ancient cultures, India has contributed sub- ergodic theory of flows on stantially to the global scienti¯c development in many homogeneous spaces, spheres, and mathematics has been one of the recognized probability measures on Lie groups areas in this respect. The country has witnessed steady and history of mathematics. mathematical developments over most part of the last He has received 3,000 years, throwing up many interesting mathemati- several awards including cal ideas well ahead of their appearance elsewhere in the the Ramanujan Medal and the world, though at times they lagged behind, especially in TWAS Prize. the recent centuries. Here are some episodes from the fascinating story that forms a rich fabric of the sustained * This is a slightly modified ver- intellectual endeavour.