Gaṇitānanda Selected Works of Radha Charan Gupta on History of Mathematics /

• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Άλλοι συγγραφείς: Ramasubramanian, K. (Επιμελητής έκδοσης, http://id.loc.gov/vocabulary/relators/edt)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Θέματα: Algebraic geometry.; Combinatorics.; Projective geometry.; Mathematical physics.; Observations, Astronomical.; Astronomy-Observations.; Algebraic Geometry.; Projective Geometry.; Mathematical Applications in the Physical Sciences.; Astronomy, Observations and Techniques.

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...

Πίνακας περιεχομένων:

• 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.