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Series : Mathematics ()
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The Buddhivilasini: Commentary of Ganesa Daivajna on the Lilavati of Bhäskaracarya II

A Critical Study of Proofs in Indian Mathematics of the Sixteenth Century by: Dr. Ramakalyani Venkatraman



ISBN: 9788124611524
Year Of Publication: 2024
Edition: 1st
Pages : xxx, 471
Bibliographic Details : Bibliography; Index
Language : English
Binding : Hardcover
Publisher: D.K. Printworld Pvt. Ltd.
Foreword By : S.R. Sarma
Size: 23
Weight: 830


This book, “The Buddhivilasini: Commentary of Ganesa Daivajna on the Lilavati of Bhäskaracarya II” is a version of the thesis, for which Dr V. Ramakalyani has been awarded the degree of Doctor of Philosophy by the University of Madras in 2018. Among the published commentaries on Lilavati, Buddhivilasini stands out for its characteristic treatment of the original work as Buddhivilasini contains more than hundred upapattis (Indian proofs) for almost all the rules of Lilavati. In the context of Buddhivilasini, upapatti is either a description of the process, numerical demonstration thereof, verbal explanation, reasoning utilising algebraic rules, proportion, examples or justification. This book consists of nine chapters. First chapter introduces the background relating to Indian contribution to mathematics. Second to eighth chapters consist of study of the upapattis on parikarmastakam (eight operations on arithmetic, fractions and zero), prakirnakas (miscellaneous units), misra-vyavahara (investigation of mixed units) sredha-vyavahara (progressions), Ksetra-vyavahara (geometry), Itara-vyavahara dealing with the khata (volume of excavations), citi (stacks), rasi (mound of grains) and chaya (shadows and gnomon), kuttaka (an indeterminate equation of degree one) and ankapasa, dealing with combinatorics. The translation of the passages in Buddhivilasini and explanations in modern notations are given with valuable remarks. Ganesa’s contribution to mathematics, style of commenting and his erudition are discussed in the last chapter. Six appendices, bibliography and index are given at the end. On the whole this is a valuable contribution to the historiography of mathematical literature in Sanskrit.

Meet the Author
Dr.V.Ramakalyani holds a degree in mathematics from Madras University, M.A. in Sanskrit and M.Ed. from Mysore University and Ph.D. from Madras University. She is a Rank holder and Gold medalist in Mathematics and Sanskrit in all the University examinations. She is engaged in the research on Ancient Indian Mathematics since 2011. Earlier she had been teaching Mathematics and Sanskrit. At present she is working as a Research Project Associate in The Kuppuswami Sastri Research Institute and in Prof. K.V. Sarma Research Foundation for Mathematics and Astronomy, Chennai. She is doing research projects for National Mission for Manuscripts and also for Sanskrit Promotion Foundation, New Delhi. She has presented papers in many National and International seminars, including one at the World Sanskrit Conference, 2016 at Bangkok. She has served as a Resource Person in the workshops on Ancient Indian Mathematics. She has published papers in reputed journals and her three books are in the process of publication. She has been delivering lectures on Ancient Indian Mathematics in the colleges and schools. She is conferred with the title “Samskrita Ratna” by Bharatiya Vidya Bhavan and DKSKSI trust, Chennai in 2019.

“The Buddhivilasini: Commentary of Ganesa Daivajna on the Lilavati of Bhäskaracarya II”

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