Panini And Euclid Reflections On Indian Geometry

Author(s): Johannes Bronkhorst
Publisher: Johannes Bronkhorst

Page 18

JOHANNES BRONKHORST
PĀŅINI AND EUCLID
77
REFERENCES
mmittee for the
indian Thought. Essa
Nagoya Tokyo
Ascher, Marcia (1991). Ethnomathematics. Chapman & Hall. (I have only had access
to the French translation: Ascher, 1998.) Ascher, Marcia (1998). Mathématiques d'ailleurs. Nombres formes et jeux dans les
sociétés traditionnelles. Traduction de l'anglais (États-Unis) et postface de Karine Chemla et Serge Pahaut. Paris: Editions du Seuil. (French translation of Ascher,
1991.) Ascher, M., and R. Ascher (1994). "Ethnomathematics' Grattan-Guinness, 1994:
II: 1545-1554. Billard, Roger (1971). L'astronomie indienne. Investigation des textes sanskrits et
des données numériques. Paris: Adrien-Maisonneuve. (PEFEO, 83.) Bronkhorst, Johannes (1990). "Vårttika', WZKS 34: 123-146 Bronkhorst, Johannes (1999). Why is There Philosophy in India? Amsterdam: Royal Netherlands Academy of Arts and Sciences. 1999. (Sixth Gonda lecture, held on 13 November 1998 on the premises of the Royal Netherlands Academy of Arts and Sciences.) Bronkhorst, Johannes (forthcoming). The Relationship Between Linguistics and Other
Sciences in India, History of the language Sciences. Ed. Kees Versteegh. Bronkhorst, Johannes (forthcoming2). The Candra-vyakarana: Some Questions'.
Festschrift Cardona. Chattopadhyaya, Debiprasad (ed.) (1992). Studies in the History of Science in India.
Vol. 2 New Delhi: Asha Jyoti. Chemlo. Karine (1997), 'What is at stake in Mathematical Proofs from Third-century
China? Science in Context 10(2): 227-251. Chemla, Karine (1999). "Philosophical Reflections in Chinese Ancient Mathematical
Texts: Liu Hui's Reference to the Yijing in Sik Kim Yung and Francesca Bray (eds.). Current Perspectives in the History of Science in East Asia, pp. 89-100
Seoul: Seoul National University Press. Clark, Walter Eugene (1930). The Aryabhatiya of Aryabhata. An Ancient Indian Work
on Marhematics and Astronomy. Translated with Nores. Chicago: The University
of Chicago Press Colebrooke, Henry Thomas (1817). Algebra, with Arithmetic and Mensuration, from
the Sanscrit of Brahmegupla and Bháscara. London: John Murray. Collins, Randall (1998), The Sociology of Philosophies. A Global Theory of Intellectual
Change. Cambridge, Massachusetts, and London, England: The Belknap Press of Harvard University Press. Cort, John E. (1999). "Fistfights in the Monastery: Calendars, Conflict and Karma Among the Jains', in N.K. Wagle and Olle Qvarnström (eds.). Approaches to Jaina Studies: Philosophy Logic, Rituals and Symbols, pp. 36-59. Toronto: Centre for
South Asian Studies, University of Toronto (South Asian Studies Papers, no. 11.) Dutta, B. B. (1929), 'The Mathematical Achievements of the Jainas', Bulletin of the
Calcurta Mathematical Sociery: 115-145. Reprinted in Chattopadhyaya, 1992: 11:
684-716 (references are to the reprint). Davis, Philip J. and Reuben Hersh (1981). The Mathematical Experience. Boston
etc.: Birkhäuser. Duncan, David Ewing (1998). The Calendar. The 5000-year Struggle to Align the
Clock and the Heavens - and What Happened to the Missing Ten Days. Reprint:
London: Fourth Estate, 1999. Elfering. Kurt (1968). Über den Flächen bzw. Rauminhalt von Dreieck und Pyramide
sowie Kreis und Kugel bei Aryabhata !". Rechenpfenninge. Festschrift fur Kurt
Vogel. pp. 57-67. Munchen (not seen). Elfering, Kurt (1975). Die Mathematik des Aryabhatal. Text. Übersetzung aus dem
Sanskrit und Kommentar. München: Wilhelm Fink.
Elfering, Kurt (1977). "The Area of a Triangle and the Volume of a Pyramid as well
as the area of a Circle and the Surface of the Hemisphere in the Mathematics of Aryabhata I'. Indian Journal of the History of Science 12: 233-236
seen). Engelfriet, Peter M. (1998). Euclid in China. The Genesis of the First Chinese
Translation of Euclid's Elements Banks I-VI (Jihe Yanhen: Beijing. 1607) and its
Reception up to 1723. Leiden ete: Brill. (Sinica Leidensia, 40.) Filliozat, Pierre-Sylvain (1988). "Calculs de demi-cordes d'arcs par Aryabhata et
Bhaskara I, BEI 6: 255-274. Filliozat, Pierre-Sylvain (1995). "Sanskrit Linguistics and Mathematics in Ancient
India'. Indian Horizons 44(4): 39-50. Filliozat, Pierre-Sylvain, and Guy Mazars (1985). "Observations sur la formule du
volume de la pyramide et de la sphère chez Aryabhata'. BEI 3, 37-48 Franco, El (2000). "The Spitzer Manuscript - report on Work in Progress'. edited
by the Committee for the Felicitation of Professor Doctor Junsho Kato's Sixtieth Birthday, Abhidharma and Indian Thoughr. Essays in Honor of Professor Doctor Junsho kato on his Sixtieth Birthday. pp. 562-544. Nagoya, Tokyo: Shunju-sha.
( [491-67D. Friberg, J. (1990). 'Mathematik, Reallexikon der Assyriologie und vorderasiatischen
Archologie VIL 7/8: 531-585. Gillings, Richard J. (1972). Mathematics in the Time of the Pharaohs. Cambridge
Massachusettes & London, England: MIT Press Grattan-Guinness, L. (ed.) (1994). Companion Encyclopedia of the History and
Philosophy of the Mathematical Sciences, 2 vols. London and New York: Routledge, Hayashi, Takao (1994). "Indian Mathematics', = Gratian-Guinness, 1994: 1: 118-130, Hayashi, Takao (1995). The Bhakshall Manuscript. An Ancien Indian Mathematical
Treatise. Groningen: Egbert Forsten. (Groningen Oriental Studies, 11.) Hayashi, Takao (1997). "Calculations of the Surface of a Sphere in India. The Science
and Engineering Review of Doshisha University 37(4): 194-238. Heath, T. (1921). History of Greek Mathematics. 2 vols. Reprint: New York: Dover
Publications, 1981. Heilbron, JL (1999). The Sun in the Church Cathedrals as Solar Observatories
Cambridge, Mass. & London, England: Harvard University Press. Huff, Toby E. (1993). The Rise of Early Modern Science: Islam, China and the West
Cambridge etc.: Cambridge University Press. Ingalls, Daniel H.H. (1954). "The Comparison of Indian and Western Philosophy
JORM 22: 1-11. Joseph, George Gheverghese (1990). The Crest of the Peacock. Non-European Roots
of Mathematics. London - New York: LB. Tauris. Kane, Pandurang Vaman (1974). History of Dharmasastra (Ancient and Mediaeval
Religious and Civil Law). Vol. V. Part I Poona: Bhandarkar Oriental Research
Institute. (Government Oriental Series, Class B, No. 6.) Kaye, G. R. (1919). Influence grecque dans le développement des mathématiques
hindoues'. Scientia 25: 1-14 Keller, Agathe (2000). Un commentaire indien du Vilème siècle. Bhaskara er le
panita.pdda de l'Aryabhatly. These de doctorat. Université Paris 7. Soutenue le
21 mars 2000. Kline, Morris (1972). Mathematical Thought from Ancient Modern Times, Volume
L New York - Oxford: Oxford University Press. Kuppuram, G. and K. Kumudamani (1990). History of Science and Technology in
India, Vol. II: Mathematics, Astronomy Delhi: Sundeep Prakashan Lindtner, Christian (2000). 'King Jagaliyotirmalla's Slokas rasamgrahah'. AS 5411)
47-66.
Seoul Seorang Perspectives in the Vijing in Sik ki