Bhāskara-prabhā

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 Bhāskarācārya. Bhāskara-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.

Chapter 1. Caṅgadeva’s inscription of 1207.- Chapter 2. The legend of Līlāvatī.- Chapter 3. The poetical face of the mathematical and astronomical works of Bhāskarācārya.- Chapter 4. The līlā of the Līlāvatī.- Chapter 5. Gaṇeśa Daivajña’s upapattis for some rules in the Līlāvatī.- Chapter 6. A study of two Malayalam commentaries on the Līlāvatī.- Chapter 7. Mensuration of quadrilaterals in the Līlāvatī.- Chapter 8. Aṅkapāśa in the Līlāvatī.- Chapter 9. The Bījagaṇita of Bhāskarācārya: Some highlights.- Chapter 10. A critical study of algorithms in the Karaṇīṣaḍvidham.- Chapter 11. Grahagaṇitādhyāya of Bhāskarācārya’s Siddhāntaśiromaṇi.- Chapter 12. Bhāskarācārya and Kṣayamāsa.- Chapter 13. The Vāsanābhāṣyas of Bhāskarācārya.- Chapter 14. The production of Sines: Bhāskarācārya’s Jyotpatti.- Chapter 15. An application of the addition and subtraction formula for the Sine in Indian astronomy.- Chapter 16. Astronomical instruments in Bhāskarācārya’s Siddhāntaśiromaṇi.- Chapter 17. Bhojarājā and Bhāskara: Precursors of Karaṇakutūhala algebraic approximation formulas in the Rājamṛgāṅka.- Chapter 18. Persian translations of Bhāskara’s Sanskrit texts and their impact in the following centuries.- Chapter 19. The use of Bhūtasaṅkhyās in the Līlāvatī of Bhāskarācārya.- Chapter 20. Implications of Bhāskarācārya’s Līlāvatī to the Common Core State Standards in Mathematics.