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. Being well aware that this is a much neglected field, he strives hard to disseminate this material to an international readership, by way of sending short reports to various reputed journals of distinguished societies of history of mathematics and astronomy in various parts of the world, and thereby to stimulate curiosity and interest in fellow mathematicians towards promoting studies in history of mathematics. While assiduously addressing the academicians he does not lose track of the common reader in towns of India, such as Jhansi and Ranchi where he lived and worked. Through his writings in the local newspapers about great Indian mathematicians on their birth and death anniversaries, on science days, he makes the common readers and students aware of India’s contribution to the world heritage of science. His research is not confined to ancient mathematicians alone. The sev- © Springer Nature Singapore Pte Ltd. 2019 613 K. Ramasubramanian (ed.), Ganiṭ ānanda, https://doi.org/10.1007/978-981-13-1229-8 614 A Bibliography of R. C. Gupta eral bio-bibliographies of historians of mathematics and astronomy of recent times, such as P. C. Sengupta, Sudhakara Dvivedi, etc., that Professor Gupta has brought out reveal his admiration for his immediate predecessors as well as contemporary historians. A mention may be made here of this version of bibliography providing glimpses of Professor Gupta’s work translated into Hindi, Gujarati, Kannada, Bangla, Tamil and Malayalam, in a separate section. While most of the articles in Hindi are authored by Gupta himself, all the Kannada ones have been prepared by Venugopal D. Heroor. It is to the credit of Gupta that he draws the uninitiated readers into the folds of scientific scholarship through encouraging translations of his own and other writings in the regional languages of India. Towards the end of this bibliography we find a list of all of his works that have been translated into other Indian languages. This is followed by a list of articles that have been written about R. C. Gupta. Besides articles meant for technical audience, the list presented in the bibliog- raphy also includes his writings in the form of very short notes on ancient Indian mathematicians for encyclopedias of science. It may also be noted that such notes as well as a few of his articles have reappeared in different publications. Given the fact that India’s contribution to science does not find its way to the informed academic community in India as well as in other parts of the world due to a lack of awareness, and also with the mission to disseminate knowledge, he has not shied away from rewriting or translating into Hindi some of the articles that have already been pub- lished elsewhere. In order to indicate readers, the equivalence of one article with the other (in the case that they reappear elsewhere) is indicated at the end of those entries. In doing so, we have essentially followed Hayashi’s style that was found novel and useful. Professor Gupta has also been writing under his pen name ‘Ganitanand’ for some time. Those publications which appeared with this name have been indicated by including the word ‘Ganitanand’ in parentheses at the end of those entries. Finally, it may be stated that this bibliography all in all has more than 500 entries. This by no stretch of the imagination can be considered a small accomplishment, particularly considering the fact that by profession Professor Gupta has been a teacher of modern mathematics—which unfortunately has been completely severed from the history of mathematics—all through this career (which in itself would have been demanding a significant portion of his time) and also given the fact that all his publications are single authored! Note Apparently ‘missing’ items such as (1973c) and many more both detected and undetected (eg. 1998b; 2000c, d, e) may be found in the section on various Indian languages. Bibliography Gupta, R. C. (1958). “The one-dimensional wave equation”. In: Journal of Birla Institute of Technology. (1958–59), pp. 43–48. A Bibliography of R. C. Gupta 615 – (1961). “Many methods of solving a cubic”. In: Journal of Birla Institute of Technology. (1961–62), pp. 54–63. – (1964a). “Non-differentiable functions”. In: Journal of Birla Institute of Technology. (1964–65), pp. 50–54. – (1964b). “Our Sanskrit prayer”. In: Journal of Birla Institute of Technology. (1964–65), pp. 1–4. – (1966). “The Hindu method of solving quadratic equations”. In: Journal of Birla Institute of Technology. (1966–67), pp. 26–28. – (1967). “Bhāskara I’s approximation to sine”. In: Indian Journal of History of Science 2.2, pp. 121–36. – (1969). “Second order interpolation in Indian mathematics up to the fifteenth century”. In: Indian Journal of History of Science 4.1–2, pp. 86–98. – (1970). “Simple proofs of an inequality between (sin� + tan�) and 2�”. In: The Mathematics Education (Siwan) 4.A, pp. 84–86. – (1971). “Fractional parts of Āryabhata’ṣ sines and certain rules found in Govindsvāmi’s Bhāsyạ on the Mahābhāskarīya”. In: Indian Journal of History of Science 6.1, pp. 51–59. – (1972a). “Baudhāyana’s value of √2 (Glimpses of ancient Indian mathematics No. 3)”. In: The Mathematics Education 6.B, pp. 77–79. (= Gupta 1973c = Gupta 1991c). – (1972b). “Brahmagupta’s rule for the volume frustum-like solids (Glimpses of ancient Indian mathematics No. 4)”. In: The Mathematics Education 6.B, pp. 117–20. – (1972c). “Drawing tangents to a circle by using ruler only”. In: The Mathematics Education 6.B, pp. 80–81. – (1972d). “Early Indians on second order sine differences”. In: Indian Journal of History of Science 7.1, pp. 81–86. – (1972e). “Indian approximations to sine, cosine and versed sine (Glimpses of ancient Indian mathematics No. 2)”. In: The Mathematics Education 6.B, pp. 59–60. – (1972f). “Neelakantha’s rectification formula (Glimpses of ancient Indian mathematics No. 1)”. In: The Mathematics Education 6.B, pp. 1–2. (= Gupta 1972g). – (1972g). “Nīlakanṭ ha’ṣ formula for finding the arc or angle”. In: Racanā, Birla Institute of Tech- nology, (Ranchi). (1972–73), pp. 33–34. Hindi, (= Gupta 1972f). – (1972h). “Research still needed on Āryabhata’ṣ birthplace”. In: The Indian Nation, Patna. (April 14), p. 8. – (1972i). “Soviet Indologist (A. P. Barannikov)”. In: Hindustan Times 44.30. (January 30, 31), p. 7. – (1972j). “To find drkḳ sepạ from lagnāgrā and madhyajyā”. (Hindi). In: Jyotisha-kalpa 3.12. (September), pp. 19–20. – (1973a). “500th birth anniversary of Nicolaus Copernicus in India, New Delhi”. In: Notae de His- toria Mathematica (Canada; predecessor of HM 3.2. February 19–20, (Anonymously), p. 8. – (1973b). “Āryabhatạ I’s value of � (Glimpses of ancient Indian mathematics No. 5)”. In: The Mathematics Education 7.B, pp. 17–20. – (1973d). “Bhāskara II’s derivation for the surface of a sphere (Glimpses of ancient Indian math- ematics No. 6)”. In: The Mathematics Education 7.B, pp. 49–52. (= Gupta 2002j). – (1973e). “Did Jesus Christ visit India?” In: Hindu Vishva, New Delhi 8.6, pp. 15–17. – (1973f). “History of mathematics: A bibliograhy of books”. In: Mathematica 2. (Meerut), pp. 97–105. – (1973g). “Nārāyana’ṣ method for evaluating quadratic surds (Glimpses of ancient Indian math- ematics No. 8)”. In: The Mathematics Education 7.B, pp. 93–96. – (1973h). “Some trigononometrical identities from the Vatẹ śvarasiddhānta”. In: Ranchi Univer- sity Mathematical Journal 4, pp. 27–29. – (1973i). “The Mādhava-Gregory series (Glimpses of ancient Indian mathematics No. 7)”. In: The Mathematics Education 7.B, pp. 67–70. 616 A Bibliography of R. C. Gupta Gupta, R. C. (1974a). “A height and distance problem from the Āryabhatị̄ya (Glimpses of ancient Indian mathematics No. 12)”. In: The Mathematical Education 8. B, pp. 71–75. – (1974b). “Addition and substraction theorems for the sine and cosine in medieval India”. In: Indian Journal of History of Science 9.2, pp. 164–77. – (1974c). “Addition and subtraction theorems for the sine and their use in computing tabular sines (Glimpses of ancient Indian mathematics No. 11)”. In: The Mathematical Education 8. B, pp. 43–46.