Gaṇitānanda

1. Front Matter

   Pages i-xxvii

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2. The Oeuvre of Radha Charan Gupta

   1. Front Matter

      Pages 1-1

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   2. A Portrait of the Life of R. C. Gupta

      • K. Ramasubramanian

      Pages 3-8

   3. A Birthday Tribute to R. C. Gupta

      • Christoph J. Scriba

      Pages 9-12

   4. Professor R. C. Gupta Receives the Kenneth O. May Prize

      • Kim Plofker

      Pages 13-15

3. On Studies in History of Mathematics

   1. Front Matter

      Pages 17-17

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   2. On the Date of Śrīdhara

      • K. Ramasubramanian

      Pages 19-21

   3. In the Name of Vedic Mathematics

      • K. Ramasubramanian

      Pages 23-26

   4. Foreign Reviews and Evaluation of Indian Works on History of Science

      • K. Ramasubramanian

      Pages 27-30

   5. The Study of History of Mathematical Sciences in India

      • K. Ramasubramanian

      Pages 31-40

   6. Historical Notes: Kali Chronograms of Nārāyaṇa Bhaṭṭatiri

      • K. Ramasubramanian

      Pages 41-44

4. Mathematics in Ancient Period

   1. Front Matter

      Pages 45-45

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   2. On Some Mathematical Rules from the Āryabhaṭīya

      • K. Ramasubramanian

      Pages 47-54

   3. Decimal Denominational Terms in Ancient and Medieval India

      • K. Ramasubramanian

      Pages 55-61

   4. New Indian Values of \(\pi \) from the Mānava-śulba-sūtra

      • K. Ramasubramanian

      Pages 63-72

   5. The Lakṣa Scale of the Vālmīki Rāmāyaṇa and Rāmā’s Army

      • K. Ramasubramanian

      Pages 73-79

   6. The Chronic Problem of Ancient Indian Chronology

      • K. Ramasubramanian

      Pages 81-88

   7. A Problem on Interest in the Nārada-purāṇa

      • K. Ramasubramanian

      Pages 89-91

   8. Who Invented the Zero?

      • K. Ramasubramanian

      Pages 93-107

   9. World’s Longest Lists of Decuple Terms

      • K. Ramasubramanian

      Pages 109-115

This book includes 58 selected articles that highlight the major contributions of Professor Radha Charan Gupta—a doyen of history of mathematics—written on a variety of important topics pertaining to mathematics and astronomy in India. It is divided into ten parts. Part I presents three articles offering an overview of Professor Gupta’s oeuvre. The four articles in Part II convey the importance of studies in the history of mathematics. Parts III–VII constituting 33 articles, feature a number of articles on a variety of topics, such as geometry, trigonometry, algebra, combinatorics and spherical trigonometry, which not only reveal the breadth and depth of Professor Gupta’s work, but also highlight his deep commitment to the promotion of studies in the history of mathematics. The ten articles of part VIII, present interesting bibliographical sketches of a few veteran historians of mathematics and astronomy in India. Part IX examines the dissemination of mathematical knowledge across different civilisations. The last part presents an up-to-date bibliography of Gupta’s work. It also includes a tribute to him in Sanskrit composed in eight verses.

• Radha Charan Gupta
• History of Mathematics
• Jaina Mathematics
• Geometry
• Trignometry
• Indian Astronomy
• Indian Mathematical Sciences
• Clas-Olof Selenius
• combinatorics

• Cell for Indian Science and Technology in Sanskrit, Department of Humanities and Social Sciences, Indian Institute of Technology Bombay, Mumbai, India

  K. Ramasubramanian

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. The prestigious Maharshi Badarayan Vyas Samman was conferred upon him by thePresident of India, in 2008. 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.

Policies and ethics