Geometry and numerals
thayashi at mail.doshisha.ac.jp
Wed Mar 5 21:49:55 EST 1997
At 9:40 PM 97.2.26 +0000, you wrote:
>a friend of mine is searching for bibliographical data on publications
>(if possible in English or German translations) about "Geometry" and
>"Mysticism of Numerals".
For the former topic, your friend may consult:
1. B. Datta, _ The Science of the Sulba _. University of Calcutta Press 1932.
2. Axel Michaels, _ Beweisverfahrern in der vedischen Sakralgeometrie _,
Steiner 1978. [Accompanied by a useful bibliography.]
3. A. Seidenberg, 'The Geometry of the Vedic Rituals,' in: F. Staal (ed),
_ Agni: The Vedic Ritual of the Fire Altar _ , Asian Humanities Press 1983,
vol. 2, pp. 95--126.
4. S. N. Sen and A. K. Bag, _ The Zulbasuutras _. Indian national Science
5. T. A. Sarasvati, _ Geometry in Ancient and Medieval India _, Motilal 1979.
6. B. Datta and A. N. Singh, 'Hindu Geometry,' (revised by K. S. Shukla),
_ Indian Journal of History of Science _ 15, 1980, 121--188.
The first four books/article on this list treat the zulbasuutras, the
oldest phase of Indian geometry. Item 4 contains Skt. texts of the four
major zulbasuutras and their English translations. The last two items
cover the whole hisotry of Indian geometry. Especially recommendable as a
comprehensive history is item 5. For a more comprehensive bibliography in
jyotiHzaastra including mathematics, see:
D. Pingree, _ Census of the Exact Sceinces in Sanskrit _. Vols. 1--5 (in
progress, so far up to 'v' in Skt. alphabetical order). American
Philosophical Society 1970--94.
>Moreover, are there any texts in "lyrical" form about these topics?
Most texts of Indian mathematics and astronomy including geometry, except
zulbasuutras, are written in "lyrical" form.
All the best,
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