Muhammad ibn Musa al-Khwarizmi

Si Muḥammad ibn Mūsā al-Khwārizmī[note 1] (Persian: محمد بن موسی خوارزمی; c. 780 – c. 850), naka-Arabiko na al-Khwarizmi asin dating naka-Latin Algorithmi, iyo sarong Persyano[5][6][7] na polymath na may impluwensiyal na gibo sa matematika, astronomiya, asin heograpiya. Mga 820 CE, siya nagin astronomo asin pamayo kan library kan House of Wisdom sa Baghdad.[8]

Muḥammad ibn Mūsā al-Khwārizmī
Khwarizmi Amirkabir University of Technology.png
Statue of al-Khwārizmī carrying an astrolabe in Amir Kabir University, Tehran, Iran
Kamundaganc. 780
Kagadananc. 850 (aged c. 70)
Baghdad, Iraq
Academic background
Academic work
EraMedieval era (Islamic Golden Age)
Main interestsMathematics, Geography, Astronomy
Notable worksThe Compendious Book on Calculation by Completion and Balancing, Book of the Description of the Earth, Astronomical tables of Siddhanta
Notable ideasTreatises on algebra and Indian numerals
InfluencedAbu Kamil[2]

Pinasikat ni Al-Khwarizmi an treatise sa algebra (The Compendious Book on Calculation by Completion and Balancing, c. 813–833 CE[9]) pigpresentar an enot na sitematikong solusyon sa mga linyar asin kwadratikong ekwasyon.

Mga notaLiwaton

  1. There is some confusion in the literature on whether al-Khwārizmī's full name is ابو عبد الله محمد بن موسى الخوارزميAbū ʿAbdallāh Muḥammad ibn Mūsā al-Khwārizmī or ابو جعفر محمد بن موسی الخوارزمیAbū Ja‘far Muḥammad ibn Mūsā al-Khwārizmī. Ibn Khaldun notes in his Prolegomena: "The first to write on this discipline [algebra] was Abu 'Abdallah al-Khuwarizmi. After him, there was Abu Kamil Shuja' b. Aslam. People followed in his steps."[3] In the introduction to his critical commentary on Robert of Chester's Latin translation of al-Khwārizmī's Algebra, L.C. Karpinski notes that Abū Ja‘far Muḥammad ibn Mūsā refers to the eldest of the Banū Mūsā brothers. Karpinski notes in his review on (Ruska 1917) that in (Ruska 1918): "Ruska here inadvertently speaks of the author as Abū Ga‘far M. b. M., instead of Abū Abdallah M. b. M." Donald Knuth writes it as Abū ’Abd Allāh Muḥammad ibn Mūsā al-Khwārizmī and quotes it as meaning "literally, 'Father of Abdullah, Mohammed, son of Moses, native of Khwārizm,'" citing previous work by Heinz Zemanek. [4]

Mga toltolanLiwaton

  1. Berggren 1986; Struik 1987, p. 93
  2. O'Connor, John J.; Robertson, Edmund F., "Abū Kāmil Shujā‘ ibn Aslam", MacTutor History of Mathematics archive, University of St Andrews.
  3. Ibn Khaldūn, The Muqaddimah : An introduction to history, Translated from the Arabic by Franz Rosenthal, New York: Princeton (1958), Chapter VI:19
  4. Knuth, Donald (1997), "Basic Concepts", The Art of Computer Programming, 1 (3rd ed.), Addison-Wesley, p. 1, ISBN 978-0-201-89683-1 
  5. Corbin, Henry (1998). The Voyage and the Messenger: Iran and Philosophy (in English). North Atlantic Books. p. 44. ISBN 978-1-55643-269-9. 
  6. Clifford A. Pickover (2009). The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics. Sterling Publishing Company, Inc. p. 84. ISBN 978-1-4027-5796-9. 
  7. Saliba, George (September 1998). "Science and medicine". Iranian Studies 31 (3–4): 681–690. doi:10.1080/00210869808701940. "Take, for example, someone like Muhammad b. Musa al-Khwarizmi (fl. 850) may present a problem for the EIr, for although he was obviously of Persian descent, he lived and worked in Baghdad and was not known to have produced a single scientific work in Persian.". 
  8. Maher, P. (1998). From Al-Jabr to Algebra. Mathematics in School, 27(4), 14–15.
  9. Oaks, J. (2009). Polynomials and equations in Arabic algebra. Archive for History of Exact Sciences, 63(2), 169–203.

Magbasa pa laloLiwaton

Ispesipikong mga toltolanLiwaton





  • Goldstein, B.R. (1968). Commentary on the Astronomical Tables of Al-Khwarizmi: By Ibn Al-Muthanna. Yale University Press. ISBN 978-0-300-00498-4. 
  • Hogendijk, Jan P. (1991). "Al-Khwārizmī's Table of the "Sine of the Hours" and the Underlying Sine Table". Historia Scientiarum 42: 1–12. 
  • King, David A. (1983). Al-Khwārizmī and New Trends in Mathematical Astronomy in the Ninth Century. New York University: Hagop Kevorkian Center for Near Eastern Studies: Occasional Papers on the Near East 2. LCCN 85150177. 
  • Neugebauer, Otto (1962). The Astronomical Tables of al-Khwarizmi. 
  • Rosenfeld, Boris A. (1993). Menso Folkerts; J.P. Hogendijk, eds. "Geometric trigonometry" in treatises of al-Khwārizmī, al-Māhānī and Ibn al-Haytham. Vestiga Mathematica: Studies in Medieval and Early Modern Mathematics in Honour of H.L.L. Busard. Amsterdam: Rodopi. ISBN 978-90-5183-536-6. 
  • Suter, Heinrich. [Ed.]: Die astronomischen Tafeln des Muhammed ibn Mûsâ al-Khwârizmî in der Bearbeitung des Maslama ibn Ahmed al-Madjrîtî und der latein. Übersetzung des Athelhard von Bath auf Grund der Vorarbeiten von A. Bjørnbo und R. Besthorn in Kopenhagen. Hrsg. und komm. Kopenhagen 1914. 288 pp. Repr. 1997 (Islamic Mathematics and Astronomy. 7). ISBN 3-8298-4008-X.
  • Van Dalen, B. Al-Khwarizmi's Astronomical Tables Revisited: Analysis of the Equation of Time.

Spherical trigonometryLiwaton

  • B.A. Rozenfeld. "Al-Khwarizmi's spherical trigonometry" (Russian), Istor.-Mat. Issled. 32–33 (1990), 325–339.

Jewish calendarLiwaton


  • Daunicht, Hubert (1968–1970). Der Osten nach der Erdkarte al-Ḫuwārizmīs : Beiträge zur historischen Geographie und Geschichte Asiens (in German). Bonner orientalistische Studien. N.S.; Bd. 19. LCCN 71468286. 
  • Mžik, Hans von (1915). "Ptolemaeus und die Karten der arabischen Geographen". Mitteil. D. K. K. Geogr. Ges. In Wien 58: 152. 
  • Mžik, Hans von (1916). "Afrika nach der arabischen Bearbeitung der γεωγραφικὴ ὑφήγησις des Cl. Ptolomeaus von Muh. ibn Mūsa al-Hwarizmi". Denkschriften D. Akad. D. Wissen. In Wien, Phil.-hist. Kl. 59. 
  • Mžik, Hans von (1926). Das Kitāb Ṣūrat al-Arḍ des Abū Ǧa'far Muḥammad ibn Mūsā al-Ḫuwārizmī. Leipzig. 
  • Nallino, C.A. (1896), "Al-Ḫuwārizmī e il suo rifacimento della Geografia di Tolemo", Atti della R. Accad. Dei Lincei, Arno 291, Serie V, Memorie, Classe di Sc. Mor., Vol. II, Rome 
  • Ruska, Julius (1918). "Neue Bausteine zur Geschichte der arabischen Geographie". Geographische Zeitschrift 24: 77–81. 
  • Spitta, W. (1879). "Ḫuwārizmī's Auszug aus der Geographie des Ptolomaeus". Zeitschrift Deutschen Morgenl. Gesell. 33. 

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