Sources and Studies in the History of Mathematics and Physical Sciences

Tantrasaṅgraha of Nīlakaṇṭha Somayājī

Authors: Ramasubramanian, Krishnamurthi, Sriram, M. S.

  • This translation is accompanied by detailed explanations throughout
  • Includes essential mathematical relations, illustrative examples and tables
  • Details innovations including the use of series for sine and cosine functions
  • Offers a systematic treatment of problems related to the diurnal motion of the celestial objects
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About this book

Tantrasaṅgraha, composed by the renowned Kerala astronomer Nīlakaṇtha Somayaji (c. 1444–1545 CE) ranks along with Āryabhatīya of Āryabhata and Siddhāntaśiromani of Bhāskarācārya as one of the major works that significantly influenced further work on astronomy in India. One of the distinguishing features of this text is the introduction of a major revision of the traditional planetary models which includes 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.

Several important innovations in mathematical technique are also to be found in Tantrasaṅgraha, especially related to the computation of accurate sine tables, the use of series for evaluating the sine and cosine functions, and a systematic treatment of the problems related to the diurnal motion of the celestial objects. The spherical trigonometry relations presented in the text—applied to a variety of problems such as the computation eclipses, elevation of the moon’s cusps and so forth—are also exact.

In preparing the translation and explanatory notes, the authors have used authentic Sanskrit editions of Tantrasaṅgraha by Suranad Kunjan Pillai and K V Sarma. The text consists of eight chapters—mean londitudes, true longitues, gnomonic shadow, lunar eclipse, solar eclipse, vyatīpāta, reduction to observation and elevation of the moon’s cusps—and 432 verses. All the verses have been translated into English and are supplemented with detailed explanations including all mathematical relations, figures and tables using modern mathematical notation.

This edition of Tantrasaṅgraha will appeal to historians of astronomy as well as those who are keen to know about the actual computational procedures employed in Indian astronomy. It is a self-contained text with several appendices included, enabling the reader to comprehend the subject matter without the need for further research.

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)

Table of contents (8 chapters)

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-0-85729-036-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-0-85729-035-9
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Tantrasaṅgraha of Nīlakaṇṭha Somayājī
Authors
Series Title
Sources and Studies in the History of Mathematics and Physical Sciences
Copyright
2011
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London Ltd.
Distribution Rights
Distribution rights in India & North America: Hindustan Book Agency (HBA), New Delhi, India
eBook ISBN
978-0-85729-036-6
DOI
10.1007/978-0-85729-036-6
Hardcover ISBN
978-0-85729-035-9
Series ISSN
2196-8810
Edition Number
1
Number of Pages
XXX, 598
Number of Illustrations and Tables
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
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