References for Brahmagupta

Version for printing
  1. D Pingree, Biography in Dictionary of Scientific Biography (New York 1970-1990).
    http://www.encyclopedia.com/topic/Brahmagupta.aspx#2
  2. Biography in Encyclopaedia Britannica.
    http://www.britannica.com/eb/article-9016154/Brahmagupta

Books:

  1. H T Colebrooke, Algebra, with Arithmetic and Mensuration from the Sanscrit of Brahmagupta and Bhaskara (1817).
  2. G Ifrah, A universal history of numbers : From prehistory to the invention of the computer (London, 1998).
  3. S S Prakash Sarasvati, A critical study of Brahmagupta and his works : The most distinguished Indian astronomer and mathematician of the sixth century A.D. (Delhi, 1986).

Articles:

  1. S P Arya, On the Brahmagupta- Bhaskara equation, Math. Ed. 8 (1) (1991), 23-27.
  2. G S Bhalla, Brahmagupta's quadrilateral, Math. Comput. Ed. 20 (3) (1986), 191-196.
  3. B Chatterjee, Al-Biruni and Brahmagupta, Indian J. History Sci. 10 (2) (1975), 161-165.
  4. B Datta, Brahmagupta, Bull. Calcutta Math. Soc. 22 (1930), 39-51.
  5. K Elfering, Die negativen Zahlen und die Rechenregeln mit ihnen bei Brahmagupta, in Mathemata, Boethius Texte Abh. Gesch. Exakt. Wissensch. XII (Wiesbaden, 1985, 83-86.
  6. R C Gupta, Brahmagupta's formulas for the area and diagonals of a cyclic quadrilateral, Math. Education 8 (1974), B33-B36.
  7. R C Gupta, Brahmagupta's rule for the volume of frustum-like solids, Math. Education 6 (1972), B117-B120.
  8. R C Gupta, Munisvara's modification of Brahmagupta's rule for second order interpolation, Indian J. Hist. Sci. 14 (1) (1979), 66-72.
  9. S Jha, A critical study on 'Brahmagupta and Mahaviracharya and their contributions in the field of mathematics', Math. Ed. (Siwan) 12 (4) (1978), 66-69.
  10. S C Kak, The Brahmagupta algorithm for square rooting, Ganita Bharati 11 (1-4) (1989), 27-29.
  11. T Kusuba, Brahmagupta's sutras on tri- and quadrilaterals, Historia Sci. 21 (1981), 43-55.
  12. P K Majumdar, A rationale of Brahmagupta's method of solving ax + c = by, Indian J. Hist. Sci. 16 (2) (1981), 111-117.
  13. J Pottage, The mensuration of quadrilaterals and the generation of Pythagorean triads : a mathematical, heuristical and historical study with special reference to Brahmagupta's rules, Arch. History Exact Sci. 12 (1974), 299-354.
  14. E R Suryanarayan, The Brahmagupta polynomials, Fibonacci Quart. 34 (1) (1996), 30-39.

JOC/EFR November 2000

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