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Mathematik in Indien bis 1400

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Mathematik im Mittelalter

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Zusammenfassung

Der Name Indien ist abgeleitet von „Indus“, dem längsten Fluss des indischen Subkontinents, der in Indien entspringt und durch das heutige Pakistan fließt.

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Notes

  1. 1.

    The Aryabhatiya of Aryabhata, Übersetzung in das Englische. Clark, W. E. Chicago Press (1930).

  2. 2.

    Elfering, K.: Die Mathematik des Aryabhata I, S. 70. Fink (1975).

  3. 3.

    Lam lay Yong, Ang Tian Se: Fleeting Footsteps, Tracing the conception of Arithmetic and Algebra in ancient China. Singapore (2004).

  4. 4.

    Suzuki, J.: A History of Mathematics. Prentice Hall Upper Saddle River, S. 220 (2002).

  5. 5.

    Albiruni’s India: Übersetzung in das Englische von Edward C. Sachau, Trübner & Co, London (1910).

  6. 6.

    Hankel H.: Zur Geschichte der Mathematik im Altertum und Mittelalter, S. 211. Teubner, Leipzig (1974).

  7. 7.

    Datta, B.: Ancient Hindu Geometry: The Science of the Sulba. Calcutta Press (1932).

  8. 8.

    Huffman C. J., Thuong S. V.: Ancient Indian Rope Geometry in the Classroom – References and Resources, MAA Convergence, Okt. 2015.

  9. 9.

    Kaye, G. R.: The Bakhshali Manuscript, Journ. and Proc. Of the Asiatic Soc. Of Bengal VIII(2), S. 349. 1902.

  10. 10.

    Plofker, K.: Mathematics in India. Princeton University Press, S. 157 (2009).

  11. 11.

    Bailey, D. H., Borwein, J. M.: Ancient Indian Square Roots: An Exercise in Forensic Paleo-Mathematics, www.davidhbailey.com/dhbpapers/india-sqrt.pdf ‎.

  12. 12.

    Colebrooke’s Translation of the Lilavati. Book Company, Calcutta (1927).

  13. 13.

    Lilavati of Bhaskaracarya. In: Patwardhan, K. S., Naimpally, S. A. Singh, S. L. Delhi, Motilal Banarsidass (2001).

  14. 14.

    Bhascara Acharya: Bija Ganita or the Algebra of the Hindus. In: Strachey, E. (Hrsg). Cambridge University (2013).

  15. 15.

    Rangacarya, M. (Hrsg.): The Ganita-Sara-Sangraha of Mahaviracarya (Sanskrit-English). Madras (1912).

  16. 16.

    Pistelli, H. (Hrsg.): Iamblichi in Nicomachi arithmeticam introductionem liber, S. 63 (1894).

  17. 17.

    Colebrooke’s Translation of the Lilavati, Asian Educational Services, S. 124. New Delhi (1993).

  18. 18.

    Kaye, E. R.: Indian Mathematics, Thacker & Spink S. 75–97. Calcutta (1913).

  19. 19.

    Juschkewitsch, A. P.: Geschichte der Mathematik im Mittelalter, S. 137. Teubner, Leipzig (1964).

  20. 20.

    Amma, T. A. Sarasvati: Geometry in Ancient and Medieval Mathematics. Motilal Banarsidass, Delhi (Reprint 2007).

  21. 21.

    Weil, A.: Number Theory: An approach through history from Hammurapi to Legendre, S. 81 f. Birkhäuser (1984).

  22. 22.

    Hankel, H.: Zur Geschichte der Mathematik im Altertum und Mittelalter, S. 202. Leipzig (1874).

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  1. FH München, München, Deutschland

    Dietmar Herrmann

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Herrmann, D. (2016). Mathematik in Indien bis 1400. In: Mathematik im Mittelalter. Springer Spektrum, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-50290-7_3

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