伊斯蘭黃金時代的數學
伊斯蘭教黃金時代的數學,尤其是9世紀和10世紀,建立在希臘數學(歐幾里得、阿基米德、阿波羅尼烏斯)和印度數學(阿耶波多、婆羅摩笈多)的基礎上。取得了重要進展,例如小數位值系統的全面發展以包括小數部分、代數的第一個系統化研究以及幾何和三角學的進步。阿拉伯著作在10至12世紀向歐洲傳播數學方面發揮了重要作用。
參考資料
- Books on Islamic mathematics
- Berggren, J. Lennart. Episodes in the Mathematics of Medieval Islam. New York: Springer-Verlag. 1986. ISBN 0-387-96318-9.
- Review: Toomer, Gerald J.; Berggren, J. L. Episodes in the Mathematics of Medieval Islam. American Mathematical Monthly (Mathematical Association of America). 1988, 95 (6): 567. JSTOR 2322777. doi:10.2307/2322777.
- Review: Hogendijk, Jan P.; Berggren, J. L. Episodes in the Mathematics of Medieval Islam by J. Lennart Berggren. Journal of the American Oriental Society (American Oriental Society). 1989, 109 (4): 697–698. JSTOR 604119. doi:10.2307/604119.
- Daffa', Ali Abdullah al-. The Muslim contribution to mathematics. London: Croom Helm. 1977. ISBN 0-85664-464-1.
- Ronan, Colin A. The Cambridge Illustrated History of the World's Science. Cambridge University Press. 1983. ISBN 0-521-25844-8.
- Rashed, Roshdi. The Development of Arabic Mathematics: Between Arithmetic and Algebra. Translated by A. F. W. Armstrong. Springer. 2001. ISBN 0-7923-2565-6.
- Youschkevitch, Adolf P.; Rozenfeld, Boris A. Die Mathematik der Länder des Ostens im Mittelalter. Berlin. 1960. Sowjetische Beiträge zur Geschichte der Naturwissenschaft pp. 62–160.
- Youschkevitch, Adolf P. Les mathématiques arabes: VIIIe–XVe siècles. translated by M. Cazenave and K. Jaouiche. Paris: Vrin. 1976. ISBN 978-2-7116-0734-1.
- Book chapters on Islamic mathematics
- Cooke, Roger. Islamic Mathematics. The History of Mathematics: A Brief Course. Wiley-Interscience. 1997. ISBN 0-471-18082-3.
- Books on Islamic science
- Daffa, Ali Abdullah al-; Stroyls, J.J. Studies in the exact sciences in medieval Islam. New York: Wiley. 1984. ISBN 0-471-90320-5.
- Kennedy, E. S. Studies in the Islamic Exact Sciences. Syracuse Univ Press. 1984. ISBN 0-8156-6067-7.
- Books on the history of mathematics
- Joseph, George Gheverghese. The Crest of the Peacock: Non-European Roots of Mathematics 2nd. Princeton University Press. 2000. ISBN 0-691-00659-8. (Reviewed: Katz, Victor J.; Joseph, George Gheverghese. The Crest of the Peacock: Non-European Roots of Mathematics by George Gheverghese Joseph. The College Mathematics Journal (Mathematical Association of America). 1992, 23 (1): 82–84. JSTOR 2686206. doi:10.2307/2686206.)
- Youschkevitch, Adolf P. Gesichte der Mathematik im Mittelalter. Leipzig: BG Teubner Verlagsgesellschaft. 1964.
- Journal articles on Islamic mathematics
- Høyrup, Jens. “The Formation of «Islamic Mathematics»: Sources and Conditions” (页面存档备份,存于互联网档案馆). Filosofi og Videnskabsteori på Roskilde Universitetscenter. 3. Række: Preprints og Reprints 1987 Nr. 1.
- Bibliographies and biographies
- Brockelmann, Carl. Geschichte der Arabischen Litteratur. 1.–2. Band, 1.–3. Supplementband. Berlin: Emil Fischer, 1898, 1902; Leiden: Brill, 1937, 1938, 1942.
- Sánchez Pérez, José A. Biografías de Matemáticos Árabes que florecieron en España. Madrid: Estanislao Maestre. 1921.
- Sezgin, Fuat. Geschichte Des Arabischen Schrifttums. Brill Academic Publishers. 1997. ISBN 90-04-02007-1 (德语).
- Suter, Heinrich. Die Mathematiker und Astronomen der Araber und ihre Werke. Abhandlungen zur Geschichte der Mathematischen Wissenschaften Mit Einschluss Ihrer Anwendungen, X Heft. Leipzig. 1900.
- Television documentaries
- Marcus du Sautoy (presenter) (2008). "The Genius of the East". The Story of Maths. BBC.
- Jim Al-Khalili (presenter) (2010). Science and Islam. BBC.