## Publications of Bibhutibhusan Datta

Bibhutibhusan Datta wrote papers and books mainly on the history of mathematics but also on applied mathematics, Indian religion and philosophy. We do not think that the list we present below is a complete list of his publications but we have included all those we could trace. One aspect requires explanation. Datta retired in 1933, gave up research in the history of mathematics in 1938 and died in 1958 yet we list papers appearing in print up to 1993. When he retired he gave the manuscript of his three volume work

*History of Hindu Mathematics*to his young colleague Avadhesh Narayan Singh. Singh published the first two of these volumes as a joint publication but the third volume was never published. Beginning in 1980 Kripa Shankar Shukla revised the material of the third volume and published it as a series of papers between 1980 and 1993.- On a physical interpretation of certain formulae in the theory of elasticity,
*Bulletin of the Calcutta Mathematical Society***2**(2) (1910-11), 19-20. - On the figures of equilibrium of a rotating mass of liquid for laws of attraction other than the law of inverse square (Part I),
*Bulletin of the Calcutta Mathematical Society***3**(1911-12), 21-26. - On the motion of two spheroids in an infinite liquid along their common axis of revolution,
*Bulletin of the Calcutta Mathematical Society***7**(1) (1915), 49-59. - On the stability of two coaxial rectilinear vortices of compressible fluid,
*Bulletin of the Calcutta Mathematical Society***10**(1918-19), 219-228. - On a Method for Determining the Non-Stationary State of Heat in an Ellipsoid,
*American Journal of Mathematics***41**(2) (1919), 133-142. - On a transformation theorem relating to spheroidal harmonics (Part 1),
*Tohoku Mathematical Journal***15**(1919), 166-171. - On a transformation theorem relating to spheroidal harmonics (Part 2),
*Tohoku Mathematical Journal***17**(1920), 210-212. - Notes on vortices in a compressible fluid,
*Proceedings of the Benares Mathematical Society***2**(1920), 23-31. - On the stability of two rectilinear vortices of compressible fluid moving in an incompressible liquid,
*Philosophical Magazine*(Series 6)**40**(1920), 138-148. - On the periods of vibrations of a straight vortex-pair,
*Proceedings of the Benares Mathematical Society***3**(1921), 13-24. - On the motion of two spheroids in an infinite liquid along their common axis of revolution,
*American Journal of Mathematics***43**(2) (1921), 134-142. - Al-Birini and the origin of Arabic numerals,
*Proceedings of the Benares Mathematical Society***7/8**(1925-26), 9-23. - A note on Hindu-Arabic numerals,
*American Mathematical Monthly***33**(4) (1926), 220-221. - Two Aryabhatas of Al-Birini,
*Bulletin of the Calcutta Mathematical Society***17**(1926), 59-74. - Hindu (non-Jaina) values of π,
*Journal of the Asiatic Society of Bengal (Calcutta) (n.s.)***22**(1926), 25-42. - Early literary evidence of the use of zero in India (Part 1),
*American Mathematical Monthly***33**(9) (1926), 449-454. - On mula, the Hindu term for 'root',
*American Mathematical Monthly***34**(8) (1927), 420-423. - On the origin and development of the idea of 'percent',
*American Mathematical Monthly***34**(10) (1927), 530-531. - Aryabhata, the author of Ganita,
*Bulletin of the Calcutta Mathematical Society***18**(1927), 5-18. - Early history of the arithmetic of zero and infinity in India,
*Bulletin of the Calcutta Mathematical Society***18**(1927), 165-176. - The present mode of expressing numbers,
*Indian Historical Quarterly***3**(1927), 530-540. - The Hindu method of testing arithmetical operations,
*Journal of the Asiatic Society of Bengal (Calcutta) (n.s.)***23**(1927), 261-267. - Hindu contributions to mathematics (Part 1),
*Bulletin of the Allahabad University Mathematical Association***1**(1927), 49-73. - The science of calculation by the board,
*American Mathematical Monthly***35**(10) (1928), 520-529. - The Hindu solution of the general Pellian equation,
*Bulletin of the Calcutta Mathematical Society***19**(1928), 87-94. - On Mahavira's solution of rational triangles and quadrilaterals,
*Bulletin of the Calcutta Mathematical Society***20**(1928/29), 267-294. - The word numeral system (Bengali),
*Bengali Year***1335**(1928/29), 8-30. - The Bakhshali mathematics,
*Bulletin of the Calcutta Mathematical Society***21**(1929), 1-60. - The Jaina School of mathematics,
*Bulletin of the Calcutta Mathematical Society***21**(1929), 115-145. - Hindu contributions to mathematics (Part 2),
*Bulletin of the Allahabad University Mathematical Association***2**(1929), 1-36. - The scope and development of Hindu Ganita,
*Indian Historical Quarterly***5**(1929), 479-512. - Review: The Bakhshali Manuscript - A Study in Mediaeval mathematics, by G R Kaye (Calcutta, 1927),
*Bulletin of the American Mathematical Society***35**(4) (1929), 579-580. - Alphabetic numeral system (Bengali),
*Bengali Year***1336**(1929/30), 22-50. - Origin and history of the Hindu names for geometry,
*Quellen und Studien zur Geschichte der Mathematik***B I**(1929/31), 113-119. - Geometry in Jaina cosmography,
*Quellen und Studien zur Geschichte der Mathematik***B I**(1929/31), 245-254. - On the supposed indebtedness of Brahmagupta to Chiu-chang Suan-shu,
*Bulletin of the Calcutta Mathematical Society***22**(1930), 39-51. - The two Bhaskaras,
*Indian Historical Quarterly***6**(1930), 727-736. - On the Hindu names for rectilinear geometrical figures,
*Journal of the Asiatic Society of Bengal (Calcutta) (n.s.)***26**(1930), 283-290. - Nominal numerals (Bengali),
*Bengali Year***1337**(1930/31), 7-27. - Nominal numerals in Jaina literature (Bengali),
*Bengali Year***1337**(1930/31), 28-39. - Ankanam vamato gatih (Bengali),
*Bengali Year***1337**(1930/31), 70-80. - On the origin of the Hindu terms for 'root',
*American Mathematical Monthly***38**(7) (1931), 371-376. - The origin of Hindu indeterminate analysis,
*Archeion***13**(1931), 401-407. - Narayana's method for finding approximate value of a surd,
*Bulletin of the Calcutta Mathematical Society***23**(1931), 187-194. - Early literary evidence of the use of zero in India (Part 2),
*American Mathematical Monthly***38**(10) (1931), 566-572. - Early history of the principle of place value,
*Scientia***50**(1931), 1-12. -
*The Science of the Sulba. A study in early Hindu geometry*(University of Calcutta, Calcutta, 1932). - Elder Aryabhata's rule for the solution of indeterminate equations of the first degree,
*Bulletin of the Calcutta Mathematical Society***24**(1932), 19-36. - Testimony of early Arab writers on the origin of our numerals,
*Bulletin of the Calcutta Mathematical Society***24**(1932), 193-218. - On the relation of Mahavira to Sridhara,
*Isis***17**(1932), 25-33. - Introduction of Arabic and Persian mathematics into Sanskrit literature,
*Proceedings of the Benares Mathematical Society***14**(1932), 7-21. - The algebra of Narayana,
*Isis***19**(1933), 472-485. - Acarya Aryabhata and his disciples and followers (Bengali),
*Bengali Year***1340**(1933/34), 129-158. - Mathematics of Nemicandra,
*Jaina Antiquary***1**(1935), 25-44. - Aryabhata and the theory of the motion of the earth (Bengali),
*Bengali Year***1342**(1935/36), 167-183. - (with Avadhesh Narayan Singh)
*History of Hindu Mathematics. A Source Book*(Part 1: Numerical notation and arithmetic) (Motilal Banarsi Das., Lahore, 1935). - A lost Jaina treatise on arithmetic,
*Jaina Antiquary***2**(1936), 38-41. - Vedic Mathematics,
*in Cultural Heritage of India***Vol. III**(Calcutta, 1937), 378-401. - (with Avadhesh Narayan Singh)
*History of Hindu Mathematics. A Source Book*(Part 2: Algebra) (Motilal Banarsi Das., Lahore, 1938). - Application of indeterminate analysis to astronomical problems,
*Archeion***21**(1938/39), 28-34. - Chronology of the history of science in India during XVIth century,
*Archeion***23**(1941), 78-83. - Some instruments of ancient India and their working,
*Journal of the Ganganatha Jha Research Institute***4**(1946/47), 249-270. - (with Avadhesh Narayan Singh)
*History of Hindu Mathematics. A Source Book*(Part 1: Numerical notation and arithmetic; and Part 2: Algebra) (Asia Publishing House, Bombay-Calcutta-New Delhi-Madras-London-New York, 1962). -
*Ancient History of Bhagavata Religion*(Bengali) (4 vols.) (Calcutta, 1963-66). -
*Ancient Story of Advaita Philosophy*(Bengali)**Vol. 1**(Calcutta, 1972). - (with Avadhesh Narayan Singh) Hindu geometry,
*Indian Journal of the History of Science***15**(2) (1980), 121-188. - (with Avadhesh Narayan Singh) Hindu geometry,
*Indian Journal of the History of Science***15**(2) (1980), 121-188. - (with Avadhesh Narayan Singh) Use of calculus in Hindu mathematics,
*Indian Journal of the History of Science***19**(2) (1984), 95-104. - (with Avadhesh Narayan Singh) Magic squares in India,
*Indian Journal of the History of Science***27**(1) (1992), 51-120. - (with Avadhesh Narayan Singh) Use of permutations and combinations in India,
*Indian Journal of the History of Science***27**(3) (1992), 231-249. - (with Avadhesh Narayan Singh) Use of series in India,
*Indian Journal of the History of Science***28**(2) (1993), 103-129. - (with Avadhesh Narayan Singh) Surds in Hindu mathematics,
*Indian Journal of the History of Science***28**(3) (1993), 253-264. - (with Avadhesh Narayan Singh) Approximate values of surds in Hindu mathematics,
*Indian Journal of the History of Science***28**(3) (1993), 265-275.