Authors:
- Translation is accompanied by detailed explanations throughout including essential mathematical relations, illustrative examples & tables
- Details a number of innovations including the use of series for sine and cosine functions, as well as a systematic treatment of the problems related to the diurnal motion of the celestial objects
- An indispensable companion to the Ganita-Yukti-Bhasa by Sarma et al (2008)
Part of the book series: Sources and Studies in the History of Mathematics and Physical Sciences (SHMP)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
Tantrasangraha, composed by the renowned Kerala astronomer Nīlakantha Somayājī (c.1444-1545 AD) ranks along with Āryabhatīya of Āryabhata and Siddhāntaśiromani of Bhāskarācārya as one of the major works which significantly influenced further work on astronomy in India. One of the distinguishing features is the introduction of a major revision of the traditional Indian planetary model. Nīlakantha arrived at a unified theory of planetary latitudes and a better formulation of the equation of centre for the interior planets (Mercury and Venus) than was previously available.
In preparing the translation and explanatory notes, K. Ramasubramanian and M. S. Sriram have used authentic Sanskrit editions of Tantrasangraha by Surand Kunjan Pillai and K V Sarma. All verses have been translated into English, which have been supplemented with detailed explanations including all necessary mathematical relations, illustrative examples, figures and tables using modern mathematical notation.
Reviews
From the reviews:
“The book … serve as a reasonably self-contained introduction to mathematical astronomy as practiced in classical India. This volume will be of interest to general historians of mathematics, and also to those mathematicians who have some knowledge of Sanskrit and who would like to read Indian mathematical texts in the original … .” (Homer White, The Mathematical Association of America, August, 2012)Authors and Affiliations
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Department of Humanities and Social Sciences, IIT Bombay, Cell for Indian Science and Technology in Sanskrit, Powai, India
K. Ramasubramanian
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Department of Theoretical Physics, University of Madras, Chennai, India
M.S. Sriram
Bibliographic Information
Book Title: Tantrasaṅgraha of Nīlakaṇṭha Somayājī
Authors: K. Ramasubramanian, M.S. Sriram
Series Title: Sources and Studies in the History of Mathematics and Physical Sciences
DOI: https://doi.org/10.1007/978-0-85729-036-6
Publisher: Springer London
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag London Ltd. 2011
Hardcover ISBN: 978-0-85729-035-9Published: 17 March 2011
eBook ISBN: 978-0-85729-036-6Published: 16 June 2011
Series ISSN: 2196-8810
Series E-ISSN: 2196-8829
Edition Number: 1
Number of Pages: XXX, 598
Number of Illustrations: 6 b/w illustrations, 167 illustrations in colour
Additional Information: Jointly published with the Hindustan Book Agency, New Delhi, licensed for sale in all countries outside of India. Sold and distributed within India by the Hindustan Book Agency, P 19 Green Park Extn., New Delhi 110 016, India
Topics: History of Mathematical Sciences, Astronomy, Observations and Techniques