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Selected Works of Radha Charan Gupta on History of Mathematics
XXVII, 639 p. 316 illus., 16 illus. in color. online resource.
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.
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.
Mathematical Applications in the Physical Sciences