This book covers the works of Bhaskara, in particular, his monumental treatise on astronomy, the Siddhantasiroma i, his astronomical handbook, the Kara akutuhala, and his two mathematical treatises, the Lilavati and the Bijaga ita, on arithmetic and algebra, respectively. It is a collection of selected papers presented at Bhaskara 900, an international conference commemorate the 900th birth anniversary of the great Indian mathematician Bhaskaracarya. Bhaskara-prabha, the radiance of Bhaskara, presents the Indian mathematical tradition and the place of Bhaskara 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.
Arvustused
The Bhskaraprabh 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)
Chapter 1. Cagadevas inscription of 1207.
Chapter 2. The legend of
Llvat.
Chapter
3. The poetical face of the mathematical and astronomical
works of Bhskarcrya.
Chapter 4. The ll of the Llvat.
Chapter
5. Gaea Daivajñas upapattis for some rules in the Llvat.
Chapter 6. A
study of two Malayalam commentaries on the Llvat.
Chapter 7. Mensuration
of quadrilaterals in the Llvat.
Chapter 8. Akapa in the Llvat.-
Chapter 9. The Bjagaita of Bhskarcrya: Some highlights.
Chapter 10. A
critical study of algorithms in the Karaavidham.
Chapter
11. Grahagaitdhyya of Bhskarcryas Siddhntairomai.
Chapter
12.
Bhskarcrya and Kayamsa.
Chapter 13. The Vsanbhyasof Bhskarcrya.-
Chapter 14. The production of Sines: Bhskarcryas Jyotpatti.
Chapter
15. An application of the addition and subtraction formula for the Sine in
Indian astronomy.
Chapter 16. Astronomical instruments in Bhskarcryas
Siddhntairomai.
Chapter
17. Bhojarj and Bhskara: Precursors of
Karaakuthala algebraic approximation formulas in the Rjamgka.
Chapter
18. Persian translations of Bhskaras Sanskrit texts and their impact in the
following centuries.
Chapter 19. The use of Bhtasakhys in the Llvat of
Bhskarcrya.
Chapter
20. Implications of Bhskarcryas Llvat to the
Common Core State Standards in Mathematics.
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 masters degree in Sanskrit, and a bachelors degree in Engineeringa 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 Vednta (a 14-semester program), in 2003. He is one of the authors who prepared detailed explanatory notes of the celebrated works Gaita-yuktibh (rationales in mathematical astronomy), Tantrasagraha and Karaa-paddhati, which bring out the seminal contributions of the Kerala School of Astronomers and Mathematicians. He was conferred the prestigious award of theMahai Bdaryaa 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 fromthe 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.
