© 2019


  • K. Ramasubramanian
  • Takao Hayashi
  • Clemency Montelle

Table of contents

  1. Front Matter
    Pages i-xxxvi
  2. Bhāskarācārya and his poetic genius

    1. Front Matter
      Pages 1-1
    2. K. Ramasubramanian, Takao Hayashi, Clemency Montelle
      Pages 3-22
    3. K. Ramasubramanian, Takao Hayashi, Clemency Montelle, Sreeramula Rajeswara Sarma
      Pages 23-39
    4. K. Ramasubramanian, Takao Hayashi, Clemency Montelle, Pierre-Sylvain Filliozat
      Pages 40-55
  3. The Līlāvatī

    1. Front Matter
      Pages 57-57
    2. K. Ramasubramanian, Takao Hayashi, Clemency Montelle, K. Ramasubramanian, K. Mahesh, Aditya Kolachana
      Pages 59-101
    3. K. Ramasubramanian, Takao Hayashi, Clemency Montelle, K. Ramakalyani
      Pages 102-114
    4. K. Ramasubramanian, Takao Hayashi, Clemency Montelle, N. K. Sundareswaran, P. M. Vrinda
      Pages 115-128
    5. K. Ramasubramanian, Takao Hayashi, Clemency Montelle, S. G. Dani
      Pages 129-139
    6. K. Ramasubramanian, Takao Hayashi, Clemency Montelle, Takanori Kusuba
      Pages 140-152
  4. The Bījagaṇita

    1. Front Matter
      Pages 153-153
    2. K. Ramasubramanian, Takao Hayashi, Clemency Montelle, Sita Sundar Ram
      Pages 155-176
    3. K. Ramasubramanian, Takao Hayashi, Clemency Montelle, Shriram M. Chauthaiwale
      Pages 177-193
  5. The Siddhāntaśiromani: Ganitādhyāya

    1. Front Matter
      Pages 195-195
    2. K. Ramasubramanian, Takao Hayashi, Clemency Montelle, M. S. Sriram
      Pages 197-231
    3. K. Ramasubramanian, Takao Hayashi, Clemency Montelle, Michio Yano
      Pages 232-245
  6. The Siddhāntaśiromani: Golādhyāya

    1. Front Matter
      Pages 247-247
    2. K. Ramasubramanian, Takao Hayashi, Clemency Montelle, M. D. Srinivas
      Pages 249-290
    3. K. Ramasubramanian, Takao Hayashi, Clemency Montelle
      Pages 291-300

About this book


This book covers the works of Bhāskara, in particular, his monumental treatise on astronomy, the Siddhāntaśiromaṇi, his astronomical handbook, the Karaṇakutūhala, and his two mathematical treatises, the Līlavatī and the Bījagaṇita, on arithmetic and algebra, respectively. It is a collection of selected papers presented at Bhāskara 900, an international conference commemorate the 900th birth anniversary of the great Indian mathematician BhāskarācāryaBhāskara-prabhā, the radiance of Bhāskara, presents the Indian mathematical tradition and the place of Bhāskara in it. The aim of this book is to instill a sense of pride in younger generations of one of their most celebrated thinkers, by sketching some details of his mathematical achievements and capturing their imagination through his poetic flair. It is intended to raise a greater awareness among students and teachers of India’s rich mathematical heritage. 


Bhāskarācārya Līlāvatī Bījagaṇita Siddhāntaśiromaṇi Gaṇitādhyāya Golādhyāya Karaṇakutūhala

Editors and affiliations

  • K. Ramasubramanian
    • 1
  • Takao Hayashi
    • 2
  • Clemency Montelle
    • 3
  1. 1.Department of Humanities and Social SciencesIndian Institute of Technology BombayMumbaiIndia
  2. 2.(emeritus) Doshisha UniversityKyotoJapan
  3. 3.Department of Mathematics & StatisticsUniversity of CanterburyChristchurchNew Zealand

About the editors

K. RAMASUBRAMANIAN is a professor at the Cell for the Indian Science and Technology in Sanskrit, Department of Humanities and Social Sciences, Indian Institute of Technology Bombay, India. He holds a doctorate degree in Theoretical Physics, a master’s degree in Sanskrit, and a bachelor’s degree in Engineering—a weird but formidable combination of subjects to do multi-disciplinary research. He was honoured with the coveted title “Vidvat Pravara” by the Shankaracharya of Sri Sringeri Sharada Peetham, Karnataka, India, for completing a rigorous course in Advaita Vedānta (a 14-semester program), in 2003. He is one of the authors who prepared detailed explanatory notes of the celebrated works Gaṇita-yuktibhāṣā (rationales in mathematical astronomy), Tantrasaṅgraha and Karaṇa-paddhati, which bring out the seminal contributions of the Kerala School of Astronomers and Mathematicians. He was conferred the prestigious award of the Mahaṛṣi Bādarāyaṇa Vyas Samman by the then President of India, in 2008, and the R. C. Gupta Endowment Lecture Award by the National Academy of Sciences India, in 2010. He is a recipient of several other awards and coveted titles as well. From 2013, he serves as an elected council member of the International Union of History and Philosophy of Science and Technology. He is also a member of various other national and international bodies.

TAKAO HAYASHI is an emeritus professor of history of science from Doshisha University, Japan. He worked on the Bakhshali manuscript to obtain his PhD from Brown University in 1985. He focused on Indian mathematics history, and specifically the Bakhshali manuscript, the oldest surviving Indian text on mathematics. He was a fellow of the Japan Society for the Promotion of Science. He is a recipient of the Salomon Reinach Foundation Prize from French Institute (2001), Publication Prize from Mathematical Society of Japan (2005), and Kuwabara Prize from the History of Mathematics Society of Japan (2005). He is a member of American Mathematics Society, the Indian Society for History of Mathematics, the History of Science Society of Japan, and the Japanese Association of Indian and Buddhist Studies.

CLEMENCY MONTELLE is an associate professor at the Department of Mathematics and Statistics, University of Canterbury, New Zealand. She earned her PhD in the History of Mathematics from Brown University, in 2005. She is the joint director of History of Mathematical Sciences in India (HAMSI), a research hub devoted to the study of the astral sciences on the Indian subcontinent. Her research interest lies in the history of mathematics.

Bibliographic information

  • Book Title Bhāskara-prabhā
  • Editors K. Ramasubramanian
    Takao Hayashi
    Clemency Montelle
  • Series Title Sources and Studies in the History of Mathematics and Physical Sciences
  • Series Abbreviated Title Sources and Studies
  • DOI
  • Copyright Information Hindustan Book Agency 2019 and Springer Nature Singapore Pte Ltd. 2019
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics Mathematics and Statistics (R0)
  • Hardcover ISBN 978-981-13-6033-6
  • eBook ISBN 978-981-13-6034-3
  • Series ISSN 2196-8810
  • Series E-ISSN 2196-8829
  • Edition Number 1
  • Number of Pages XXXVI, 444
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics History of Mathematical Sciences
    Astronomy, Observations and Techniques
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“The Bhāskaraprabhā with its various scholarly contributions will surely be a welcome and useful contribution to any library.” (Sita Sundar Ram, zbMATH 1426.01006, 2020)

“Students of the mathematics of India will, of course, find much here that is useful, and at least some of the articles will interest more general readers as well.” (Fernando Q. Gouvêa, MAA Reviews, October 13, 2019)