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Bhāskara-prabhā de K. Ramasubramanian

Bhāskara-prabhā: Sources and Studies in the History of Mathematics and Physical Sciences

Editat de K. Ramasubramanian, Takao Hayashi, Clemency Montelle
en Limba Engleză Hardback – 29 mai 2019
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 studentsand teachers of India’s rich mathematical heritage. 
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Specificații

ISBN-13: 9789811360336
ISBN-10: 9811360332
Pagini: 444
Ilustrații: XXXVI, 444 p.
Dimensiuni: 155 x 235 mm
Greutate: 0.91 kg
Ediția:1st ed. 2019
Editura: Springer Nature Singapore
Colecția Springer
Seria Sources and Studies in the History of Mathematics and Physical Sciences

Locul publicării:Singapore, Singapore

Cuprins

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 Vāsanābhāṣyasof 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.

Recenzii

“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)

Notă biografică

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 theMahaṛṣi 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 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.

Textul de pe ultima copertă

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 studentsand teachers of India’s rich mathematical heritage. 

Caracteristici

Provides pedagogical importance of scholarly work by Bhaskaracarya, a great Indian mathematician Highlights the contribution of Bhaskara to astronomy and mathematics through illustrative examples Collects selected papers presented at Bhaskara 900 from renowned contributors