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Abu Nasr Mansur’s approach to spherical astronomy as developed in his treatise ‘The table of minutes’. (English) Zbl 0292.01003


MSC:

01A30 History of mathematics in the Golden Age of Islam
65D20 Computation of special functions and constants, construction of tables
33B10 Exponential and trigonometric functions
33-03 History of special functions
65-03 History of numerical analysis

Biographic References:

Abu Nasr Mansur
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References:

[1] [1]. Abu Nasr Mansur: The Table of Minutes. The 5th of 15 treatises constituting the volume: Rasu’il Aba Nasr ila al-Blr?n?, Osmania Oriental Publications Bureau, Hyderabad-Deccan, 1948 .
[2] [2]. Abu Nasr Mansur: On the Proofs of the Operations of the ”Table of Rectification” in the Z?j of of Habash al-H?sib. The 4th of 15 treatises constituting the volume: Rasu’il Abu Nasr ilu al-Buruni, Osmania Oriental Publications Bureau, Hyderabad-Deccan, 1948 .
[3] [3]. Abu Nasr Mansur: Treatise on the Determination of the Spherical Arcs... The 8th of 15 treatises constituting the volume: Rasu’il Abu Naur ilu al-Buruni, Osmania Oriental Publications Bureau, Hyderabad-Deccan, 1948 .
[4] [4]. Ptolemy : Handbuch der Astronomie.Deutsche Ubersetzung und erlauternde Anmerkungen von K. Manitius, Vol. 1, Leipzig, 1963 .
[5] [5]. Max Krause : Die SpH?rik von Menelaos aus Alexandrien in der Verbesserung yon Abu Nasr Mansur b. ’All b. ’Iruq.Abhandlungen der Gesellschaft der Wissenschaften zu Gottingen, philologisch-historische Klasse, dritte Folge, Nr. 17, Berlin1936 .
[6] [6]. al-Burunu: al-Qunun al-Mas’udu, Vol. 1, Osmania Oriental Publications Bureau, Hyderabad-Deccan, 1954 .
[7] [7]. A. von Braunmuhl : Vorlesungen uber Geschichte der Trigonometrie, Teil 1, Leipzig, 1900 .
[8] [8]. C Brockelmann : Geschichte der arabischen Litteratur.Erster Supplementband, Leiden1937 .
[9] [9]. Rida A. K. Irani : The ”Jadwal al-Taqwum” of If ubash al-uusib.Unpublished thesis at The American University of Beirut, Beirut, 1956 .
[10] [10]. E. S. Kennedy : A Survey of Islamic Astronomical Tables.Transactions of the American Philosophical Society, New Series, vol. 46, part 2, Philadelphia, 1956 , pp.123 -177 .
[11] [11]. Paul Luckey : Zur Entstehung der Kugeldreiecksrechnung.Mathematik, 5 (1941 ), pp.405 -446 . · JFM 67.0010.04
[12] [12]. Paul Luckey : Beitrage zur Erforschung der islamischen Mathematik.Orientalia, N. S., 17 (1948 ), pp. 490 -510 and 22(1953), pp.490 -510 .
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