508 agathe keller
written text preserves only a portion. For instance, the function of diagrams
in these reasonings still remains mysterious. Further detailed explorations
of how Sanskrit texts explain, prove and verify mathematical algorithms will
advance understanding about how the mathematical correctness of algo-
rithms was conceptualized by mathematicians in the Indian subcontinent.Bibliography
Ikeyama , S. ( 2003 ) ‘ Brāhmasphut. asiddhānta (ch. 21) of Brahmagupta with
Commentary of Pr. thudaka, critical edition with English translation and
notes ’, Indian Journal of History of Science 38 : S1 –308.
Jain , P. K. ( 2001 ) Th e Sūryaprakāśa of Sūryadasa: A Commentary on
Bhāskarācarya’s Bijagan. i t a , vol. i : A Critical Edition, English Translation
and Commentary for the Chapters Upodghata, Sadvidhaprakaran. a a n d
Kuttakadhikara. Vadaroda.
Keller , A. ( 2006 ) Expounding the Mathematical Seed: Bhāskara and the
Mathematical Chapter of the Āryabhat. īya , 2 vols. Basel.
Sarma , S. R. ( 2002 ) ‘ Rule of Th ree and its variation in India ’, in From China
to Paris: 2000 years of Transmission of Mathematical Ideas , ed. Y. Dold-
Samplonius , J. W. Dauben , M. Folkerts and B. Van Dalen. Stuttgart : 133 –56.
Shukla , K. S. ( 1976 ) Āryabhat. īya of Āryabhat. a, with the Commentary of Bhāskara I
and Someśvara. Delhi.
Srinivas , M. D. ( 1990 ) ‘ Th e methodology of Indian mathematics and its
contemporary relevance’ , in History of Science and Technology in India:
Mathematics and Astronomy , vol. ii , ed. G. Kuppuram and K. Kumudamani.
Delhi : 29 –86.