Gaṇitānanda Selected Works of Radha Charan Gupta on History of Mathematics

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 off...

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Bibliographic Details
Other Authors: Ramasubramanian, K. (Editor)
Format: eBook
Language:English
Published: Singapore Springer Nature Singapore 2019, 2019
Edition:1st ed. 2019
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Part 1: The oeuvre of Radha Charan Gupta
  • Chapter 1. A Birthday Tribute to R. C. Gupta
  • Chapter 2. Professor R. C. Gupta receives the Kenneth O. May Prize
  • Part 2: On Studies in History of Mathematics
  • Chapter 3. On the Date of Sridhara
  • Chapter 4. In the Name of Vedic Mathematics
  • Part 3: Mathematics in Ancient period
  • Chapter 5. Decimal Denominational Terms in Ancient and Medieval India
  • Chapter 6. The Chronic Problem of Ancient Indian Chronology
  • Part 4: Jaina Mathematics and Astronomy
  • Chapter 7. Circumference of the Jambudvipa in Jaina Cosmography
  • Chapter 8. Chords and Areas of Jambudvipa Regions in Jaina Cosmography
  • Chapter 9. The First Unenumerable Number in Jaina Mathematics
  • Part 5: Geometry
  • Chapter 10. Brahmagupta’s Formulas for the Area and Diagonals of a Cyclic Quadrilateral
  • Chapter 11. Yantras or Mystic diagrams: A wide area for Study in Ancient and Medieval Indian Mathematics
  • Part 6: Interpolations and Combinatorics
  • Chapter 12. Second Order Interpolation in Indian Mathematics up to the Fifteenth Century
  • Chapter 13. Varahamihira’s Calculation of nCr and the Discovery of Pascal’s Triangle
  • Chapter 14. Early Pandiagonal Magic Squares in India
  • Part 7: Trigonometry and Spherical Trigonometry
  • Chapter 15. Indian Values of the Sinus Totus
  • Part 8: Bio-bibliographical sketches of some historians of Mathematics
  • Chapter 16. Review of Pingree’s Census of Exact Sciences in Sanskrit
  • Chapter 17. Obituary — T. A. Sarasvati Amma
  • Part 9: Transmission of Mathematics and Astronomy between India and Other Civilizations
  • Chapter 18. Indian Astronomy and Mathematics in Eleventh Century Spain
  • Chapter 19. Sino-Indian Interaction and the Great Chinese Buddhist Astronomer- Mathematician I-Hsing
  • Part 10: Writings of and on R. C. Gupta
  • Chapter 20. Bibliography