Bhāskara-prabhā
Author(s)
Bibliographic Information
Bhāskara-prabhā
（Sources and studies in the history of mathematics and physical sciences）
Springer , Hindustan Book Agency, c2011
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Note
Bibliography: p. 423-444
Description and Table of Contents
Description
This book covers the works of Bhaskara, in particular, his monumental treatise on astronomy, the Siddhantasiromani, his astronomical handbook, the Karanakutuhala, and his two mathematical treatises, the Lilavati and the Bijaganita, 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.
Table of Contents
Chapter 1. Cangadeva's inscription of 1207.- Chapter 2. The legend of Lilavati.- Chapter 3. The poetical face of the mathematical and astronomical works of Bhaskaracarya.- Chapter 4. The lila of the Lilavati.- Chapter 5. Ganesa Daivajna's upapattis for some rules in the Lilavati.- Chapter 6. A study of two Malayalam commentaries on the Lilavati.- Chapter 7. Mensuration of quadrilaterals in the Lilavati.- Chapter 8. Ankapasa in the Lilavati.- Chapter 9. The Bijaganita of Bhaskaracarya: Some highlights.- Chapter 10. A critical study of algorithms in the Karanisadvidham.- Chapter 11. Grahaganitadhyaya of Bhaskaracarya's Siddhantasiromani.- Chapter 12. Bhaskaracarya and Ksayamasa.- Chapter 13. The Vasanabhasyas of Bhaskaracarya.- Chapter 14. The production of Sines: Bhaskaracarya's Jyotpatti.- Chapter 15. An application of the addition and subtraction formula for the Sine in Indian astronomy.- Chapter 16. Astronomical instruments in Bhaskaracarya's Siddhantasiromani.- Chapter 17. Bhojaraja and Bhaskara: Precursors of Karanakutuhala algebraic approximation formulas in the Rajamrganka.- Chapter 18. Persian translations of Bhaskara's Sanskrit texts and their impact in the following centuries.- Chapter 19. The use of Bhutasankhyas in the Lilavati of Bhaskaracarya.- Chapter 20. Implications of Bhaskaracarya's Lilavati to the Common Core State Standards in Mathematics.
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