DOCSLIB.ORG

A Birthday Tribute to R. C. Gupta

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
A Birthday Tribute to R. C. Gupta HISTORIA MATHEMATICA 23 (1996), 117±120 ARTICLE NO. 0014 DEDICATION A Birthday Tribute to R. C. Gupta View metadata, citation and similar papers at core.ac.uk brought to you by CORE CHRISTOPH J. SCRIBA provided by Elsevier - Publisher Connector Institut fuÈr Geschichte der Naturwissenschaften, Mathematik, und Technik, UniversitaÈt Hamburg, Bundesstraûe 55, 20146 Hamburg, Germany WITH SELECTED BIBLIOGRAPHY, BY TAKAO HAYASHI The internationally renowned historian of mathematics, Radha Charan Gupta, celebrated his 60th birthday on October 26, 1995. According to custom in his native India, this implies of®cial retirement from his post as Professor of Mathematics at the Birla Institute of Technology (BIT) in Mesra, Ranchi. His many friends, as well as the many colleagues who have been in contact with him, realize, however, that ``retirement'' and ``of®cial retirement'' are two different things; they look forward to bene®tting from the continuing labors of this active and productive historian of mathematics toward the promotion of the discipline both in his native country and on an international level. Born in Jhansi, Uttar Pradesh, Gupta graduated from Lucknow University in 1955. Two years later, he passed the M.Sc. examination (with a major in mathe- matics) in the ®rst rank, and in 1965, he earned a diploma in mechanical engineering, both from the School of Careers in London. Ranchi University awarded him a Ph.D. for his research in the history of mathematics in 1971. His achievements were further acknowledged in 1986 with an honorary doctorate in the history of science from the World University (U.S.A.). After teaching at Lucknow Christian College for a year, he joined the staff of the Birla Institute of Technology in 1958. He served there in the ranks of ®rst assistant professor and then associate professor prior to his promotion to full profes- sor of mathematics in 1982. Beginning in 1979, he was Professor-in-charge of the Research Center for the History of Science at BIT. R. C. Gupta has traveled widely in India and abroad and has given presentations of his research before many audiences. In 1977, he addressed the British Society for the History of Mathematics when he attended the XVth International Congress on the History of Science in Edinburgh. Three years later, he lectured in Germany, the United States, and Canada. He also participated in the XVIIth International Congress of Mathematicians in Berkeley, California in 1985. In his several hundred papersÐamong them a series of 16 popular articles, entitled ``Glimpses of Ancient Indian Mathematics''ÐGupta has always striven to deepen and broaden our knowledge and understanding of the development of mathematics on the Indian subcontinent. He is thus a successor to his compatriots, 117 0315-0860/96 $18.00 Copyright 1996 by Academic Press, Inc. All rights of reproduction in any form reserved. 118 DEDICATION HM 23 B. Datta (1888±1958) and A. N. Singh (1901±1954). Their important book, History of Hindu Mathematics (Lahore, 1935, 1938), although now some 60 years old, remains a standard reference work for those of us who are unable to read the native Indian languages. It is to be hoped that Gupta's forthcoming book on Indian mathematics (in Hindi) will soon be translated for a wider readership. In the meantime, we can gain from his insights by reading the pages of Gan. ita BhaÅratõÅ, the of®cial journal of the Indian Society for the History of Mathematics, which he founded in 1979 and which he continues to edit. As the cumulative index (in volume 13 (1991)) for volumes 1 through 12 of that journal reveals, Gupta has published many articles, notes, and reviews there under both his own name and the pseudonym ``Ganitanand.'' One recent article, ``The Chronic Problem of Ancient Indian Chro- nology'' (Gan. ita BhaÅratõÅ 12 (1990), 17±26), is characteristic of his scholarship. For reasons of space, the selected bibliography below is limited to some of the more extensive papers that Gupta has published in English. R. C. Gupta's scienti®c achievements have received acknowledgment in many ways during his fruitful and ongoing career. Most recently, he was elected Fellow of the National Academy of Sciences in India in 1991, President of the Association of Mathematics Teachers of India in 1994, and Corresponding Member of the International Academy of the History of Science in 1995. He has also represented India on the Executive Committee of the International Commission on the History of Mathematics for many years. An active sportsman, he has won numerous medals and prizes for his athletic prowess. May his health continue and enable him to pursue his researches in the history of mathematics for many years to come. SELECTED BIBLIOGRAPHY OF RADHA CHARAN GUPTA By Takao Hayashi1 Abbreviations used: GB, Gan. ita BhaÅratõÅ (Bulletin of the Indian Society for History of Mathematics); HM, Historia Mathematica; HS, Historia Scientiarum [Japan]; IJHS, The Indian Journal of History of Science; IS, Indological Studies (Journal of the Department of Sanskrit, University of Delhi); JAS, Journal of the Asiatic Society. 1. BhaÅskara I's Approximation to Sine, IJHS 2 (1967), 121±136. 2. Second Order Interpolation in Indian Mathematics up to the Fifteenth Century, IJHS 4 (1969), 86±98. 3. Fractional Parts of AÅ ryabhat.a's Sines and Certain Rules Found in GovindasvaÅmõÅ's BhaÅs.ya on the MahaÅbhaÅskarõÅya, IJHS 6 (1971), 51±59. 4. Early Indians on Second Order Sine Differences, IJHS 7 (1972), 81±86. 5. An Indian Form of Third Order Taylor Series Approximation of the Sine, HM 1 (1974), 287±289. 6. Solution of the Astronomical Triangle As Found in the Tantrasam. graha (A.D. 1500), IJHS 9 (1974), 86±99. 7. Sines and Cosines of Multiple Arcs As Given by KamalaÅkara, IJHS 9 (1974), 143±150. 8. Addition and Subtraction Theorems for the Sine and the Cosine in Medieval India, IJHS 9 (1974), 164±177. 1 Science and Engineering Research Institute, Doshisha University, Tanabe, Kyoto 610-03, Japan. E-mail: [email protected]. HM 23 DEDICATION 119 9. Some Important Indian Mathematical Methods As Conceived in Sanskrit Language, IS 3 (1974), 49±62. 10. Circumference of the JambuÅ dvõÅpa in Jaina Cosmography, IJHS 10 (1975), 38±46. 11. Sine of Eighteen Degrees in India up to the Eighteenth Century, IJHS 11 (1976), 1±10. 12. ParamesÂvara's Rule for the Circumference of a Cyclic Quadrilateral, HM 4 (1977), 67±74. 13. On Some Mathematical Rules from the AÅ ryabhat.Åõya, IJHS 12 (1977), 200±206. 14. Indian Values of the Sinus Totus, IJHS 13 (1978), 125±143. 15. MunõÅsÂvara's Modi®cation of Brahmagupta's Rule for Second Order Interpolation, IJHS 14 (1979), 66±72. 16. Square Root of 164 in the Berlin Papyrus 11529, GB 2 (1980), 29±31. 17. Indian Mathematics and Astronomy in the Eleventh Century Spain, GB 2 (1980), 53±57. 18. Bibhutibhusan Datta (1888±1958), Historian of Indian Mathematics, HM 7 (1980), 126±133. 19. The MarõÅci Commentary on the Jyotpatti, IJHS 15 (1980), 44±49. 20. The Process of Averaging in Ancient and Medieval Mathematics, GB 3 (1981), 32±42. 21. A Bibliography of Selected Sanskrit and Allied Works on Indian Mathematics and Mathematical Astronomy, GB 3 (1981), 86±102. 22. Indian Mathematics Abroad up to the Tenth Century A.D., GB 4 (1982), 10±16. 23. Can. d. uÅ , an Astronomer of Medieval Rajasthan, GB 4 (1982), 134±135. 24. Decimal Denominational Terms in Ancient and Medieval India, GB 5 (1983), 8±15. 25. Spread and Triumph of Indian Numerals, IJHS 18 (1983), 21±38. 26. On Some Ancient and Medieval Methods of Approximating Quadratic Surds, GB 7 (1985), 13±22. 27. Jinabhadra Gan. i and Segment of a Circle between Two Parallel Chords, GB 7 (1985), 25±26. 28. On Derivation of BhaÅskara I's Formula for the Sine, GB 8 (1986), 39±41. 29. Some Equalization Problems from the BakhshaÅlõÅ Manuscript, IJHS 21 (1986), 51±61. 30. MaÅdhavacandra's and Other Octagonal Derivations of the Jaina Value f 5 Ï10, IJHS 21 (1986), 131±139. 31. South Indian Achievements in Medieval Mathematics, GB 9 (1987), 15±40. 32. On the Date of SÂ rõÅdhara, GB 9 (1987), 54±56 (under the pen name Ganitanand). 33. MaÅdhava's Rule for Finding the Angle between the Ecliptic and the Horizon and AÅ ryabhat.a's Knowledge of It, in History of Oriental Astronomy, Cambridge: Cambridge Univ. Press, 1987, pp. 197±202. 34. Chords and Areas of JambuÅ dvõÅpa Regions in Jaina Cosmography, GB 9 (1987), 51±53, and 10 (1988), 124. 35. On the Values of f from the Bible, GB 10 (1988), 51±58. 36. Tombstone Mathematics, GB 10 (1988), 69±74. 37. Volume of a Sphere in Ancient Indian Mathematics, JAS 30 (1988), 128±140. 38. On Some Rules from Jaina Mathematics, GB 11 (1989), 18±26. 39. Sino±Indian Interaction and the Great Chinese Buddhist Astronomer±Mathematician I-Hsing (A.D. 683±727), GB 11 (1989), 38±49. 40. The Laks.a Scale of the VaÅlmõÅki RaÅmaÅyan. a and RaÅma's Army, GB 12 (1990), 10±16 (under the pen name of Ganitanand). 41. The Chronic Problem of Ancient Indian Chronology, GB 12 (1990), 17±26. 42. A Few Remarks concerning Certain Values of f in Ancient India, GB 12 (1990), 33±38 (under the pen name of Ganitanand). 43. The Value of f in the MahaÅbhaÅrata, GB 12 (1990), 45±47. 120 DEDICATION HM 23 44. SudhaÅkara DvivedõÅ (1855±1910), Historian of Indian Astronomy and Mathematics, GB 12 (1990), 83±96. 45. An Ancient Approximate Rule for the Area of a Polygon, GB 12 (1990), 108±112. 46. The `Molten Sea' and the Value of f, The Jewish Bible Quarterly 19, No.
Load more

Recommended publications
  • Nptel Course on Mathematics in India: from Vedic Period
    NPTEL COURSE ON MATHEMATICS IN INDIA: FROM VEDIC PERIOD TO MODERN TIMES Lecture 40 Mathematics in Modern India 2 M. D. Srinivas Centre for Policy Studies, Chennai 1 Outline I Rediscovering the Tradition (1900-1950) I Rediscovering the Tradition (1950-2010) I Modern Scholarship on Indian Mathematics (1900-2010) I Development of Higher Education in India (1900-1950) I Development of Scientific Research in India (1900-1950) I Development of Modern Mathematics in India (1910-1950) I Development of Modern Mathematics in India (1950-2010) I Development of Higher Education in India (1950-2010) I Halting Growth of Higher Education and Science in India (1980-2010) I Halting Growth of Mathematics in India (1980-2010) 2 Rediscovering the Tradition (1900-1950) Several important texts of Indian mathematics and astronomy were published in the period 1900-1950. Harilal Dhruva published the Rekh¯agan. ita, translation of Euclid from Tusi’s Persian version (Bombay 1901). Vindhyesvari Prasad Dvivedi published some of the ancient siddh¯antas in Jyotis.asiddh¯anta-sa_ngraha (Benares 1912). Babuaji Misra edited the Khan. d. akh¯adyaka of Brahmagupta with Amarja¯ ’s commentary (Calcutta 1925) and Siddh¯anta´sekhara of Sr¯ıpati´ with Makkibhat.t.a’s commentary (Calcutta 1932, 47). Padmakara Dvivedi, edited Gan. itakaumud¯ı of N¯ar¯ayan. a Pan. d. ita in two volumes (1936, 1942). Gopinatha Kaviraja edited the Siddh¯antas¯arvabhauma of Mun¯ı´svara, 2 Vols. (Benares 1933, 3); 3rd Vol. Ed. by Mithalal Ojha (Benres 1978) Kapadia edited the Gan. itatilaka of Sr¯ıdhara´ with commentary (Gaekwad Oriental Series 1935) 3 Rediscovering the Tradition (1900-1950) Several important works were published from the Anand¯a´srama¯ Pune: Karan.
    [Show full text]
  • An Indian Form of Third Order Taylor Series
    HISTORIA MATHEMATICA 1 /1974), 287-289 AN INDIAN FORMOF THIRD ORDERTAYLOR SERIES APPROXIMATIONOF THE SINE BY RADHA CHARAN GUPTA, BIRLA INSTITUTE OF TECHNOLOGY, RANCHI, INDIA SUMMARIES The paper describes an approximation formula for sine (x + h) that differs from the first four terms of the Taylor expansion only by having 4 in place of 6 in the denominator of the fourth term. It appears in Sanskrit stanzas quoted in a work of about the fifteenth century and given here with translation and explanation. Approximation formulas for the sine of x + h equivalent to the first two terms of the Taylor series expansion and to the first three terms were known from at least as early as the tenth century A.D. and the fourteenth century A.D. to Indian mathemati- cians [Sengupta 1932, 5; Gupta 1969, 92-941. An approximation formula equivalent to the first four terms, except that the denominator in the fourth term is 4 instead of 6, appears in a literary form in three stanzas quoted by Parameivara (circa 1360-1455) in his supercommentary, called Siddhlnta-dipikz, on Govindasvtiin's gloss (circa 800-850) on the Mahabhaskariya (about early seventh century) [Kuppanna Sastri 1957, 2051. Below we give the text in transliteration from the Siddhlnta- dipik;i and an almost literal translation of the Sanskrit stanzas. Then follows an explanation of the various steps in the rule laid down in the text. (The Indian sine, or Sine, of an angular arc $I is equal to R sin 9, where sin I+ is the modern sine of the angle 4 and R is the radius of the circle of reference).
    [Show full text]
  • Indians Among the Exalted at ICM 2010 He Presence of Indian Mathematicians Number Theory, Combinatorial Number Theory, of Current Interest in Statistics
    August 27, 2010 History of Mathe- On the footprints of Opinions Emmy Noether 3 5 matics in India 7 Indians Among the Exalted at ICM 2010 he presence of Indian mathematicians number theory, combinatorial number theory, of current interest in statistics. His work in Tamong the plenary and invited speakers elliptic curves and cryptography. In 1986, he multivariate analysis related to developing at ICM 2010 has been significantly more than solved the Waring problem for fourth powers geometric notions of multivariate quantiles is in the past. To be invited to deliver a plenary in collaboration with J-M. Deshouillers and F. considered a major breakthrough in the area or an invited lecture at an ICM is considered Dress. of multivariate nonparametric inference. More highly prestigious. recently, he has developed methods that en- Prof. Venkataramana has made significant able one to discover statistically significant While Prof. R. Balasubramanian of the Insti- contributions to algebraic groups and discrete features in the income distribution in different tute of Mathematical Sciences (IMSc), Chen- subgroups. He proved the positive character- populations. nai, delivered a Plenary Talk, Profs. V. istic version of the Margulis super-rigidity the- Srinivas and T. N. Venkataramana of the Tata orem and obtained important results on Prof. Arup Bose has made significant re- Institute of Fundamental Research (TIFR, cohomology of locally symmetric varieties. search contributions in resampling plans, se- Mumbai), Probal Chaudhuri and Arup Bose of quential analysis and asymptotics, statistics the Indian Statistical Institute (ISI), Kolkata, Prof. Srinivas has done significant work in as- of diffusion processes, rates of convergence, and V.
    [Show full text]
  • Origin of Irrational Numbers and Their Approximations
    computation Review Origin of Irrational Numbers and Their Approximations Ravi P. Agarwal 1,* and Hans Agarwal 2 1 Department of Mathematics, Texas A&M University-Kingsville, 700 University Blvd., Kingsville, TX 78363, USA 2 749 Wyeth Street, Melbourne, FL 32904, USA; [email protected] * Correspondence: [email protected] Abstract: In this article a sincere effort has been made to address the origin of the incommensu- rability/irrationality of numbers. It is folklore that the starting point was several unsuccessful geometric attempts to compute the exact values of p2 and p. Ancient records substantiate that more than 5000 years back Vedic Ascetics were successful in approximating these numbers in terms of rational numbers and used these approximations for ritual sacrifices, they also indicated clearly that these numbers are incommensurable. Since then research continues for the known as well as unknown/expected irrational numbers, and their computation to trillions of decimal places. For the advancement of this broad mathematical field we shall chronologically show that each continent of the world has contributed. We genuinely hope students and teachers of mathematics will also be benefited with this article. Keywords: irrational numbers; transcendental numbers; rational approximations; history AMS Subject Classification: 01A05; 01A11; 01A32; 11-02; 65-03 Citation: Agarwal, R.P.; Agarwal, H. 1. Introduction Origin of Irrational Numbers and Their Approximations. Computation Almost from the last 2500 years philosophers have been unsuccessful in providing 2021, 9, 29. https://doi.org/10.3390/ satisfactory answer to the question “What is a Number”? The numbers 1, 2, 3, 4, , have ··· computation9030029 been called as natural numbers or positive integers because it is generally perceived that they have in some philosophical sense a natural existence independent of man.
    [Show full text]
  • Lal峹fo}Rifjpkf;Dk
    laLÑrfo}Rifjpkf;dk Inventory of Sanskrit Scholars laLÑrfo}Rifjpkf;dk INVENTORY OF SANSKRIT SCHOLARS General Editor Radha Vallabh Tripathi RASHTRIYA SANSKRIT SANSTHAN Deemed University New Delhi Board of Advisors Prof. R. Devanathan Prof. Azad Mishra Prof. K. B. Subbarayudu Dr. Sukla Mukherjee Editorial Board Dharmendra Kumar Singhdeo Kailas Chandra Dash Ashok Thapliyal Sangita Gundecha Editorial Assistants Sanjay Dwivedi Sushma Sharma Mangilal Chauhan Surendra Tiwari Nirupama Singhdeo Avani Sharma Vishnu Prasad Meena Data Entry Lala Ram Gohar Sonraj Patidar Amit Kumar Publisher : Registrar RASHTRIYA SANSKRIT SANSTHAN Deemed University 56-57, Institutional Area, Janakpuri, New Delhi – 110 058 First Edition 2012 © Publisher Price 450.00 ISBN -978-93-86111-85-2 Printed at : New Bharatiya Book Corporation, New Delhi PREFACE It is immensely gratifying that the Rashtriya Sanskrit Sansthan, New Delhi is publishing the ‘Inventory of Sanskrit Scholars’ (laaLÑrfo}Rifjpkf;dk) on the occasion of Fifteenth World Sanskrit Conference. The Sansthan under its various schemes also intends to collect the Bio-data of Sanskrit Scholars and to make them available on its website. The preparation of the Software for this purpose is in its final stage. The website will give an access to know the Sanskrit scholars of the entire world and the works done by them. The present Inventory includes the details of about 5000 Sanskrit scholars. Initially, the preparation of Inventory was taken up at the Bhopal Campus of the Sansthan. Since 2009 the Bhopal Campus has been doing this work in collaboration with its Main Campus, The Rashtriya Sanskrit Sansthan, New Delhi. This Inventory on the basis of details made available by scholars in response to the Sansthan’s format presents briefly the data as under - the name of scholars, qualification, date of birth, place of birth, positions, teachers and disciples (Guru- Shishya-Parampara), numbers and titles of published books and research papers, addresses, awards and honors, foreign visits etc.
    [Show full text]
  • No. 75 November 2010 Professor R. C. Gupta Receives Kenneth O
    No. 75 November 2010 This and earlier issues of the Newsletter can be downloaded from our website http://www.clab.edc.uoc.gr/hpm/ mathematician's scholarly work in the history Professor R. C. Gupta receives of mathematics. Kenneth O. May Prize Prof. Gupta's major contributions in the Professor Radha Charan Gupta received field include work on the history of the Kenneth O. May Prize for the History of development of trigonometry in India. He Mathematics at the International Congress of authored the chapter 'Historiography of Mathematicians (ICM) on 27 August 2010. Mathematics in India' in: Dauben and Scriba Prof. Gupta was chosen for the 2009 prize (eds.) Writing the History of Mathematics: Its jointly with Prof. Ivor Grattan-Guinness of Historical Development, Birkhauser, 2002. He UK by the International Commission for the was the President of the Association of History of Mathematics. Prof. Kim Plofker Mathematics Teachers of India from 1994 presented the award. until recently. He also founded the journal Ganita Bharati (meaning “Indian Mathematics”) and has written several articles in the journal. He is also a frequent contributor to the HPM Newsletter (including this issue). New Books De grands défis mathématiques: d’Euclide à Condorcet [On major challenges of mathematics: from Euclid to Condorcet] Evelyne Barbin (ed.) The Prize is named after the mathematician Paris: Vuibert; Adapt-Snes, 2010, 176pp, and historian Kenneth O. May, founder of the ISBN 9782356560100;9782311000191 International Commission for the History of Mathematics and its journal Historia The output of IREM colleagues is admirable Mathematica. The prize, instituted in 1989, and enviable.
    [Show full text]
  • A Bibliography of R. C. Gupta
    A Bibliography of R. C. Gupta K. Ramasubramanian Being much impressed with the contributions of Professor R. C. Gupta, on the occasion of his 60th birthday, in 1996, Professor Takao Hayashi brought out a bibli- ography of his writings that was published in Historia Scientiarum. He also prepared an updated version of it in 2011, perhaps to commemorate his 75th birthday, which was published in Ganitạ Bhāratī. The third edition of the bibliography that is being presented to the readers, is an up-to-date version and covers his writings over a span of 60 years (1958–2017). This has heavily borrowed on the earlier version prepared by Hayashi and hence we are deeply indebted to him for his pioneering efforts in this direction. The rich variety of entries we find in the bibliography clearly mirrors the passionate dedication of Professor Gupta to create pathways to approach the his- tory of mathematics and astronomy of India at multiple levels. The author strives to bring to light the achievements of Indian mathematicians both to the academic com- munity and the generally informed lay person. He dedicates himself to painstakingly collect theses from various universities of India and collate them, and puts it in the form of short articles for his readers. He has also created bibliographies facilitating the search for source material. In his capacity as the editor of Ganitạ Bhāratī he has been meticulously gathering information regarding conferences, meetings, symposiums and seminars on topics related to history of mathematics, held at different places in India (and abroad), in order to help the fellow academicians to keep abreast of research done in this field.
    [Show full text]
  • Los Saberes Asiaticos.Indd
    LOS SABERES ASIÁTICOS CIENCIA Y TÉCNICA EN CHINA, INDIA Y JAPÓN DESDE LA ANTIGÜEDAD HASTA NUESTROS DÍAS SERIE PRETEXTOS N.º 42 LOS SABERES ASIÁTICOS CIENCIA Y TÉCNICA EN CHINA, INDIA Y JAPÓN DESDE LA ANTIGÜEDAD HASTA NUESTROS DÍAS Pío García Roberto Restrepo Sandra Salamanca Ricardo Tokunaga Hiroshi Wago Bogotá, diciembre de 2012 Los saberes asiáticos. Ciencia y técnica en China, India y Japón desde la antigüedad hasta nuestros días / Pío García... [et al.]. – Bogotá: Universidad Externado de Colombia, 2012. 519 p.: il. Incluye bibliografía. ISBN: 978958710809 5 1. Ciencia y tecnología – Japón 2. Cambio social – Japón 3. Tecnología y civilización – Japón 4. Ciencia y tecnología – India 5. Cambio social – India 6. Tecnología y civilización – India 7. Ciencia y tecnología – China 8. Cambio social – China 9. Tecnología y civilización – China 10. Historia social – Japón 11. Historia social – India 12. Historia social – China I. García, Pío II. Universidad Externado de Colombia 303.483 SCDD 21 Catalogación en la fuente – Universidad Externado de Colombia. Biblioteca Agosto de 2012 ISBN 978-958-710-809-5 © 2012, PÍO GARCÍA, roberto restrepo, SANDRA SALAMANCA, ricardo toKUNAGA, HIROSHI WAGO © 2012, UNIVERSIDAD EXTERNADO DE COLOMBIA Calle 12 n.º 1-17 este, Bogotá Teléfono (57 1) 342 0288 www.uexternado.edu.co [email protected] Primera edición: diciembre de 2012 Diseño de cubierta: Departamento de Publicaciones Composición: David Alba Impresión y encuadernación: Cadena S. A. Tiraje de 1 a 1.000 ejemplares Impreso en Colombia Printed in Colombia Prohibida la reproducción o cita impresa o electrónica total o parcial de esta obra, sin autorización expresa y por escrito del Departamento de Publicaciones de la Universidad Externado de Colombia.
    [Show full text]
  • The Untapped Wealth of Manuscripts on Indian Astronomy and Mathematics
    IJHS | VOL 54.3 | SEPTEMBER 2019 ARTICLES The Untapped Wealth of Manuscripts on Indian Astronomy and Mathematics M. D. Srinivas∗ Centre for Policy Studies, Chennai–600069 (Received 31 March 2019; revised 06 June 2019) Abstract Unlike in the case of other classical sciences of India, the vast corpus of manuscripts in Indian astronomy and mathematics has been extensively surveyed and documented during the last fifty years, mainly due to the painstaking efforts of D. Pingree and K. V. Sarma. We shall make use of their documentation to make: (i) an estimate the extent of available source-works in Indian astronomy and mathematics; and (ii) an assessment of what has been accomplished by the modern scholarship of last two centuries by way of editing and translating these source-works. We find that of the estimated 9,000 source-works of Indian Astronomy and Mathematics (which are preserved in around 30,000 manuscripts), only about 150 texts were edited, and just 30 texts translated during 1800-1947. During 1948-2019, there has been significant progress and another about 300 texts have been edited and 66 texts translated, many of them with detailed explanatory notes. Thus, only about 450 (or 5% of the estimated 9000 source-texts available) have been edited and published so far; even among the published works, only 96 texts have been seriously studied via translations and explanations with a view to bring out their technical (mathematical-astronomical) content. There is an urgent need to reorient our national priorities and give due importance to the preservation, digitization, listing and cataloguing, editing & publishing, and promoting systematic studies of the large corpus of source-works of the great tradition of science and technology in India.
    [Show full text]
  • 2Nd RC Gupta Lecture
    2nd R C Gupta Endowment Lecture About the Speaker Mayank Vahia completed his PhD in Astrophysics from TIFR and worked there till 2018. of the organized by His early work was on satellite based telescopes. More recently he has been interested in Astronomical Society Indian Institute of Science the history of science and astronomy and human evolution. He guided the Astronomy Science Olympiad programmes in India for more than a decade. He is a fellow of several of India Education and Research, Mohali national and international academies. He is on the Governing Council of Deccan College, Pune and has also been an active member of various advisory committees of the National Council of Science Museums. After retirement he started the School of Mathematical Sciences, at the Narsee Monjee Institute of Management Studies, a Deemed university in Origin & Growth of Astronomy in India Mumbai. Speaker - Professor Mayank Vahia Ever since the humans realised the beauty of the skies, they have been fascinated by it. They have used it for time keeping, calendrical, navigational purposes and have uploaded their stories to the skies. Hence the study of the heavens is as old as the arrival of human culture. In the present talk, we will look at the evolution of astronomy from prehistoric period to the present by dividing it into 4 stages - of prehistoric astronomy, astronomy of early settlements, astronomy of civilisation and modern astronomy. We will discuss the salient features of each of these phases and show how it is sensitive to other parameters of the intellectual evolution of the civilisation in the subcontinent.
    [Show full text]
  • GANITA BHĀRATĪ Contents Pages Vol. 1-27
    GANITA BHĀRATĪ Contents Pages Vol. 1-27 VOLUME 27 (2005) NUMBERS 1-4 R.C. GUPTA Ancient Egyptian Pyramids, Pyramidology and PI 1-14 S.M. CHAUTHAIWALE Indian Mathematicians on Sums of Terms in Arithmetic Progression 15-25 R.C. GUPTA Indian Mathematical Sciences in Ancient and Medieval China 26-63 PARMANAND SINGH AND BALESVARA SINGH PāŢīsāra of MunīŚvara : Chapter III : Kşetra-vyavahāra (English Translation with Rationales and Mathematical and Histroical Notes) 64-103 V.K. SHARMA AND YOGITA BANA Construction of Śyenacit from Baudhāyana Śulba Sūtra 104-128 OBITUARY NOTE Prominent Polymath Pingree Passes Away 129-130 A.I. VOLODARSKY Notices of Recent Russian Publications (on Hist. of Math.) 131-134 MEETINGS National Conference on History of Mathematics and Recent Developments (A Brief Report by K.C. Sinha) 135-137 BOOK REVIEWS Grundziige De Mengenlehre (Gesammelte Werke, Band II) (by Felix Hausdorff) (Reviewed by PRADIP KUMAR MAJUMDAR) 138-139 Ancient Jaina Mathematics (by R.C. Gupta) (Reviewed by R.S. SHAH) 139-144 NEW EDITORIAL BOARD 145-145 ISHM EXECUTIVE COUNCIL 146-146 VOLUME 26 (2004) NUMBERS 1-4 K. NIKOLANTONAKIS Les Lemmes De La Collection Mathematique De Pappus D'alexandrie Et Les Traites De La Section Du Cylindre Et La Section Du Cone De Serenus D'antinoe 1-26 R.C. GUPTA Vedic Circle-Square Conversions : New Texts and Rules 27-39 V. MADHUKAR MALLAYYA An Interesting Algorithm for Computation of Sine Table from the Golasara of Nilakntha 40-55 PARMANAND SINGH AND BALESVARA SINGH Patisara of Munisvara : Chapters I and II (English Translation with Notes) 56-104 GANITANAND The Jungle of Eras with Special Reference to India 105-130 RADHA CHARAN GUPTA Mensuration of Circle According to Jaina Mathematical Ganitanuyoga 131-165 V.K.
    [Show full text]