메뉴 건너뛰기




Volumn 24, Issue 4, 1997, Pages 407-440

Mathematics and Her Sisters in Medieval Islam: A Selective Review of Work Done from 1985 to 1995

Author keywords

Islamic mathematics; Islamic algebra; Islamic geometry; Islamic astronomy; Islamic optics; Euclid; Islamic science and society

Indexed keywords


EID: 0002274997     PISSN: 03150860     EISSN: None     Source Type: Journal    
DOI: 10.1006/hmat.1997.2173     Document Type: Article
Times cited : (9)

References (182)
  • 1
    • 38249036830 scopus 로고
    • Découverte d'un écrit mathématique d'al- H· s· s·
    • Aballagh Mohammed, Djebbar Ahmed. Découverte d'un écrit mathématique d'al- H · s · s · Historia Mathematica. 14:1987;147-158.
    • (1987) Historia Mathematica , vol.14 , pp. 147-158
    • Aballagh Mohammed1    Djebbar Ahmed2
  • 3
  • 4
    • 84971707574 scopus 로고
    • The Arabic Origins and Development of Latin Algorithms in the Twelfth Century
    • Allard André. The Arabic Origins and Development of Latin Algorithms in the Twelfth Century. Arabic Sciences and Philosophy. 1:1991;233-284.
    • (1991) Arabic Sciences and Philosophy , vol.1 , pp. 233-284
    • Allard André1
  • 7
    • 84971808916 scopus 로고
    • Ibrāhīm ibn Sinān: On Analysis and Synthesis
    • Bellosta Hélène. Ibrāhīm ibn Sinān: On Analysis and Synthesis. Arabic Sciences and Philosophy. 1:1991;211-232.
    • (1991) Arabic Sciences and Philosophy , vol.1 , pp. 211-232
    • Bellosta Hélène1
  • 9
    • 84982613983 scopus 로고
    • The Origin of al-Bīrūnī's "method of theZīj
    • Berggren J. Lennart. The Origin of al-Bīrūnī's "Method of theZīj. Centaurus. 28:1985;1-16.
    • (1985) Centaurus , vol.28 , pp. 1-16
    • Berggren J. Lennart1
  • 10
    • 0039438010 scopus 로고
    • History of Mathematics in the Islamic World: The Present State of the Art
    • Berggren J. Lennart. History of Mathematics in the Islamic World: The Present State of the Art. Middle East Studies Association Bulletin. 19:1985;9-33.
    • (1985) Middle East Studies Association Bulletin , vol.19 , pp. 9-33
    • Berggren J. Lennart1
  • 13
    • 84982619302 scopus 로고
    • Medieval Islamic Methods for Drawing Azimuth Circles on the Astrolabe
    • Berggren J. Lennart. Medieval Islamic Methods for Drawing Azimuth Circles on the Astrolabe. Centaurus. 34:1991;309-344.
    • (1991) Centaurus , vol.34 , pp. 309-344
    • Berggren J. Lennart1
  • 15
    • 0040030206 scopus 로고
    • Greek and Islamic Elements in Arabic Mathematics
    • Edmonton: Academic Print Publications. p. 195-217
    • Berggren J. Lennart. Greek and Islamic Elements in Arabic Mathematics. ΠEPI TΩN MAΘHMATΩN. 1992;Academic Print Publications, Edmonton. p. 195-217.
    • (1992) ΠePI TΩN MAΘHMATΩN
    • Berggren J. Lennart1
  • 17
    • 0040623325 scopus 로고
    • Abū Sahl Al-Kūhī's Treatise on the Construction of the Astrolabe with Proof: Text, Translation and Commentary
    • Berggren J. Lennart. Abū Sahl Al-Kūhī's Treatise on the Construction of the Astrolabe with Proof: Text, Translation and Commentary. Physis. 31:1994;141-252.
    • (1994) Physis , vol.31 , pp. 141-252
    • Berggren J. Lennart1
  • 18
    • 0039438000 scopus 로고
    • The Optics of Ibn al-Haytham, Books I-III: On Direct Vision
    • Berggren J. Lennart. The Optics of Ibn al-Haytham, Books I-III: On Direct Vision. Physis. 32:1995;143-153.
    • (1995) Physis , vol.32 , pp. 143-153
    • Berggren J. Lennart1
  • 19
    • 0010173101 scopus 로고    scopus 로고
    • Al-Kūhī's "filling a Lacuna in Book II of Archimedes" in the Version of Na s· T·
    • Berggren J. Lennart. Al-Kūhī's "Filling a Lacuna in Book II of Archimedes" in the Version of Na s · T · Centaurus. 38:1996;140-207.
    • (1996) Centaurus , vol.38 , pp. 140-207
    • Berggren J. Lennart1
  • 22
    • 0040623334 scopus 로고
    • Textzeugen und Hypothesen zum arabischen Euklid in der Überlieferung von al- H· t·
    • Brentjes Sonja. Textzeugen und Hypothesen zum arabischen Euklid in der Überlieferung von al- H · t · Archive for History of Exact Sciences. 47:1994;53-92.
    • (1994) Archive for History of Exact Sciences , vol.47 , pp. 53-92
    • Brentjes Sonja1
  • 29
    • 84972371341 scopus 로고
    • Similarities between Chinese and Arabic Mathematical Writings: (I) Root Extraction
    • Chemla Karine. Similarities between Chinese and Arabic Mathematical Writings: (I) Root Extraction. Arabic Sciences and Philosophy. 4:1994;207-266.
    • (1994) Arabic Sciences and Philosophy , vol.4 , pp. 207-266
    • Chemla Karine1
  • 32
    • 38249019384 scopus 로고
    • Thus Spake Al-Khwārizmī: A translation of the Cambridge University Library ms. Ii.vi.5
    • Crossley John N., Henry Alan S. Thus Spake Al-Khwārizmī: A translation of the Cambridge University Library ms. Ii.vi.5. Historia Mathematica. 17:1990;103-131.
    • (1990) Historia Mathematica , vol.17 , pp. 103-131
    • Crossley John, N.1    Henry Alan, S.2
  • 33
  • 36
    • 84971945725 scopus 로고
    • Ibn al-Haytham's Universal Solution for Finding the Direction of theQibla
    • Dallal Ahmad. Ibn al-Haytham's Universal Solution for Finding the Direction of theQibla. Arabic Sciences and Philosophy. 5:1995;145-194.
    • (1995) Arabic Sciences and Philosophy , vol.5 , pp. 145-194
    • Dallal Ahmad1
  • 38
    • 0040030136 scopus 로고
    • Leiden/New York: Brill
    • c. 1994;Brill, Leiden/New York.
    • (1994) c
    • Dhanani Alnoor1
  • 39
    • 84948948010 scopus 로고
    • Université de Paris-Sud, Département de mathématiques
    • c, Université de Paris-Sud, Département de mathématiques.
    • (1981) c
    • Djebbar, A.1
  • 42
    • 84949029573 scopus 로고
    • Quelques aspects de l'algèbre dans la tradition mathématique arabe de l'Occident musulman
    • Alger: Maison du Livre. p. 99-123
    • Djebbar Ahmed. Quelques aspects de l'algèbre dans la tradition mathématique arabe de l'Occident musulman. Actes du premier colloque Maghrébin d'Alger sur les mathématiques arabes. 1988;Maison du Livre, Alger. p. 99-123.
    • (1988) Actes Du Premier Colloque Maghrébin d'Alger Sur Les Mathématiques Arabes
    • Djebbar Ahmed1
  • 43
    • 0040030128 scopus 로고
    • Mathematics in Medieval Maghreb
    • Djebber Ahmed. Mathematics in Medieval Maghreb. AMUCHMA Newsletter. 15:1995;3-42.
    • (1995) AMUCHMA Newsletter , vol.15 , pp. 3-42
    • Djebber Ahmed1
  • 46
    • 0038845283 scopus 로고
    • Quadratic Equations in Arab Mathematics
    • H. Balmer. Zürich: Verlag der Fachvereine
    • Dold-Samplonius Yvonne. Quadratic Equations in Arab Mathematics. Balmer H. Die Blütezeit der arabischen Wissenschaft. 1990;67-78 Verlag der Fachvereine, Zürich.
    • (1990) Die Blütezeit Der Arabischen Wissenschaft , pp. 67-78
    • Dold-Samplonius Yvonne1
  • 47
    • 84982593849 scopus 로고
    • Practical Arabic Mathematics: Measuring the Muqarnas by al-Kāshī
    • Dold-Samplonius Yvonne. Practical Arabic Mathematics: Measuring the Muqarnas by al-Kāshī Centaurus. 35:1992;193-242.
    • (1992) Centaurus , vol.35 , pp. 193-242
    • Dold-Samplonius Yvonne1
  • 50
    • 84972102877 scopus 로고
    • Le calcul du maximum et la 'dérivée' selon Sharaf al-Dīn al- T·
    • Farès Nicholas. Le calcul du maximum et la 'dérivée' selon Sharaf al-Dīn al- T · Arabic Sciences and Philosophy. 5:1995;219-238.
    • (1995) Arabic Sciences and Philosophy , vol.5 , pp. 219-238
    • Farès Nicholas1
  • 54
    • 0343064607 scopus 로고
    • Cartography in the Traditional Islamic South Asian Societies
    • Chicago: Univ. of Chicago Press
    • Hadley John B., Woodward David. Cartography in the Traditional Islamic South Asian Societies. The History of Cartography. 2:1992;Univ. of Chicago Press, Chicago.
    • (1992) The History of Cartography , vol.2
    • Hadley John, B.1    Woodward David2
  • 55
    • 0040030131 scopus 로고
    • c H· H·
    • A.I. Sabra. National Council for Culture, Arts and Letters
    • c H · H · Sabra A. I. Kitāb al-Manāz. 1983;National Council for Culture, Arts and Letters.
    • (1983) Kitāb Al-manāz
    • Al-Haytham Ibn1
  • 58
    • 0006733718 scopus 로고
    • Thābit ibn Qurra and the Pair of Amicable Numbers 17296, 18416
    • Hogendijk Jan P. Thābit ibn Qurra and the Pair of Amicable Numbers 17296, 18416. Historia Mathematica. 12:1985;269-273.
    • (1985) Historia Mathematica , vol.12 , pp. 269-273
    • Hogendijk Jan, P.1
  • 61
    • 0038845265 scopus 로고
    • La théorie des parallèles en pays d'Islam
    • Hogendijk Jan P. La théorie des parallèles en pays d'Islam. Centaurus. 30:1987;293-294.
    • (1987) Centaurus , vol.30 , pp. 293-294
    • Hogendijk Jan, P.1
  • 63
    • 84982595794 scopus 로고
    • The Mathematical Structure of Two Islamic Astronomical Tables for "casting the Rays"
    • Hogendijk Jan P. The Mathematical Structure of Two Islamic Astronomical Tables for "Casting the Rays" Centaurus. 32:1989;171-202.
    • (1989) Centaurus , vol.32 , pp. 171-202
    • Hogendijk Jan, P.1
  • 66
    • 0040623277 scopus 로고
    • Al-Khwārizmī's Table of the "sine of the Hours" and the Underlying Sine Table
    • Hogendijk Jan P. Al-Khwārizmī's Table of the "Sine of the Hours" and the Underlying Sine Table. Historia Scientiarum. 1991;1-12.
    • (1991) Historia Scientiarum , pp. 1-12
    • Hogendijk Jan, P.1
  • 71
    • 0040623286 scopus 로고
    • Al-Khwârizmî, Ibn Turk, and the Liber Mensurationum: On the Origins of Islamic Algebra
    • Høyrup Jens. Al-Khwârizmî, Ibn Turk, and the Liber Mensurationum: On the Origins of Islamic Algebra. Erdem. 5:1986;445-484.
    • (1986) Erdem , vol.5 , pp. 445-484
    • Høyrup Jens1
  • 72
    • 84976155166 scopus 로고
    • The Formation of "islamic Mathematics": Sources and Conditions
    • Høyrup Jens. The Formation of "Islamic Mathematics": Sources and Conditions. Science in Context. 1:1987;281-329.
    • (1987) Science in Context , vol.1 , pp. 281-329
    • Høyrup Jens1
  • 77
    • 84948980495 scopus 로고
    • L'analyse et la synthèse dans les mathématiques arabo-islamiques: Le livre d'Ibn al-Haytham
    • Algiers: Maison des Livres. p. 106-124
    • Jaouiche Khalil. L'analyse et la synthèse dans les mathématiques arabo-islamiques: Le livre d'Ibn al-Haytham. Histoire des mathématiques arabes. 1988;Maison des Livres, Algiers. p. 106-124.
    • (1988) Histoire des Mathématiques Arabes
    • Jaouiche Khalil1
  • 84
  • 86
    • 0040623280 scopus 로고    scopus 로고
    • Sources and Studies in the History of Mathematics and the Physical Sciences, Springer-Verlag, New York
    • Elaheh, Kheirandish, The Arabic Tradition of Euclid's Optika, Sources and Studies in the History of Mathematics and the Physical Sciences, Springer-Verlag, New York.
    • The Arabic Tradition of Euclid's Optika
    • Kheirandish, E.1
  • 89
    • 0040623285 scopus 로고
    • A Medieval Arabic Report on Algebra Before Al-Khwārizmī
    • King David A. A Medieval Arabic Report on Algebra Before Al-Khwārizmī Al-Masāq. 1:1988;25-32.
    • (1988) Al-Masāq , vol.1 , pp. 25-32
    • King David, A.1
  • 90
    • 0040030092 scopus 로고
    • A Survey of Medieval Islamic Shadow Schemes for Simple Time-Reckoning
    • King David A. A Survey of Medieval Islamic Shadow Schemes for Simple Time-Reckoning. Oriens. 32:1990;191-249.
    • (1990) Oriens , vol.32 , pp. 191-249
    • King David, A.1
  • 98
    • 0039437962 scopus 로고    scopus 로고
    • The Wrong Text of Euclid: On Heiberg's Text and Its Alternatives
    • Knorr Wilbur R. The Wrong Text of Euclid: On Heiberg's Text and Its Alternatives. Centaurus. 38:1996;208-276.
    • (1996) Centaurus , vol.38 , pp. 208-276
    • Knorr Wilbur, R.1
  • 100
    • 0039437953 scopus 로고
    • Une pratique de la composition des raisons dans un exercice de combinatoire
    • Koelblen Sabine. Une pratique de la composition des raisons dans un exercice de combinatoire. Revue d'histoire des sciences. 2:1994;209-247.
    • (1994) Revue d'Histoire des Sciences , vol.2 , pp. 209-247
    • Koelblen Sabine1
  • 111
    • 0040030089 scopus 로고
    • Ptolemy and Maslama on the Transformation of Circles into Circles in Stereographic Projection
    • Lorch Richard. Ptolemy and Maslama on the Transformation of Circles into Circles in Stereographic Projection. Archive for History of Exact Sciences. 49:1995;271-284.
    • (1995) Archive for History of Exact Sciences , vol.49 , pp. 271-284
    • Lorch Richard1
  • 119
    • 84982646904 scopus 로고
    • Al-Zarqālluh's Graphical Method for Finding Lunar Distances
    • Puig Roser. Al-Zarqālluh's Graphical Method for Finding Lunar Distances. Centaurus. 32:1989;294-309.
    • (1989) Centaurus , vol.32 , pp. 294-309
    • Puig Roser1
  • 120
    • 0040030123 scopus 로고
    • New York/Berlin: Springer-Verlag
    • Ragep F. Jamil. NasT. 1993;Springer-Verlag, New York/Berlin.
    • (1993) NasT
    • Ragep F. Jamil1
  • 121
    • 0038845257 scopus 로고
    • Al-Sijzī et Maimonide: Commentaire mathématique et philosophique de la proposition ii, 14 desConiques
    • Rashed Roshdi. Al-Sijzī et Maimonide: Commentaire mathématique et philosophique de la proposition ii, 14 desConiques. Archives internationales d'histoire des sciences. 37:1987;263-296.
    • (1987) Archives Internationales d'Histoire des Sciences , vol.37 , pp. 263-296
    • Rashed Roshdi1
  • 122
    • 0039437947 scopus 로고
    • A Pioneer in Anaclastics: Ibn Sahl on Burning Mirrors and Lenses
    • Rashed Roshdi. A Pioneer in Anaclastics: Ibn Sahl on Burning Mirrors and Lenses. Isis. 81:1990;464-491.
    • (1990) Isis , vol.81 , pp. 464-491
    • Rashed Roshdi1
  • 123
    • 84971995706 scopus 로고
    • Al-Samaw'al, al-Bīrūnī et Brahmagupta: Les méthodes d'interpolation
    • Rashed Roshdi. Al-Samaw'al, al-Bīrūnī et Brahmagupta: Les méthodes d'interpolation. Arabic Sciences and Philosophy. 1:1991;101-160.
    • (1991) Arabic Sciences and Philosophy , vol.1 , pp. 101-160
    • Rashed Roshdi1
  • 126
    • 60949267883 scopus 로고
    • Paris: Les Belles Lettres
    • e. 1993;Les Belles Lettres, Paris.
    • (1993) e
    • Rashed Roshdi1
  • 130
    • 84965798837 scopus 로고
    • The Appropriation and Subsequent Naturalization of Greek Science in Medieval Islam: A Preliminary Report
    • Sabra Abdulhamid I. The Appropriation and Subsequent Naturalization of Greek Science in Medieval Islam: A Preliminary Report. History of Science. 25:1987;223-243.
    • (1987) History of Science , vol.25 , pp. 223-243
    • Sabra Abdulhamid, I.1
  • 136
    • 84971995870 scopus 로고
    • The Astronomical Tradition of Maragha: A Historical Survey and Prospects for Future Research
    • Saliba George. The Astronomical Tradition of Maragha: A Historical Survey and Prospects for Future Research. Arabic Sciences and Philosophy. 1:1991;67-100.
    • (1991) Arabic Sciences and Philosophy , vol.1 , pp. 67-100
    • Saliba George1
  • 142
    • 0040030084 scopus 로고
    • Un système artificiel de numération au moyen âge
    • Menso Folkerts, & Uta Lindgren. Stuttgart: Franz Steiner Verlag Wiesbaden
    • Sesiano Jacques. Un système artificiel de numération au moyen âge. Folkerts Menso, Lindgren Uta. Mathemata - Festschrift für Helmuth Gericke. 1985;165-196 Franz Steiner Verlag Wiesbaden, Stuttgart.
    • (1985) Mathemata - Festschrift für Helmuth Gericke , pp. 165-196
    • Sesiano Jacques1
  • 143
    • 0038845254 scopus 로고
    • Herstellungsverfahren magischer Quadrate aus islamischer Zeit (II)
    • Sesiano Jacques. Herstellungsverfahren magischer Quadrate aus islamischer Zeit (II). Sudhoffs Archiv. 71:1987;78-87.
    • (1987) Sudhoffs Archiv , vol.71 , pp. 78-87
    • Sesiano Jacques1
  • 144
    • 84982072146 scopus 로고
    • Survivance médiévale en Hispanie d'un problème né en Mésopotamie
    • Sesiano Jacques. Survivance médiévale en Hispanie d'un problème né en Mésopotamie. Centaurus. 30:1987;18-61.
    • (1987) Centaurus , vol.30 , pp. 18-61
    • Sesiano Jacques1
  • 146
    • 0040623261 scopus 로고
    • Un fragment attribué à Archimède
    • Sesiano Jacques. Un fragment attribué à Archimède. Museum helveticum. 48:1991;21-32.
    • (1991) Museum Helveticum , vol.48 , pp. 21-32
    • Sesiano Jacques1
  • 147
    • 0038845251 scopus 로고
    • An Arabic Treatise on the Construction of Bordered Magic Squares
    • Sesiano Jacques. An Arabic Treatise on the Construction of Bordered Magic Squares. Historia scientiarum. 42:1991;13-31.
    • (1991) Historia Scientiarum , vol.42 , pp. 13-31
    • Sesiano Jacques1
  • 150
    • 0040622290 scopus 로고
    • Herstellungsverfahren magischer Quadrate aus islamischer Zeit (III)
    • Sesiano Jacques. Herstellungsverfahren magischer Quadrate aus islamischer Zeit (III). Sudhoffs Archiv. 79:1995;193-226.
    • (1995) Sudhoffs Archiv , vol.79 , pp. 193-226
    • Sesiano Jacques1
  • 153
    • 84972348072 scopus 로고
    • Two Commentaries on Euclid's Definition of Proportional Magnitudes
    • Vahabzadeh Bijan. Two Commentaries on Euclid's Definition of Proportional Magnitudes. Arabic Sciences and Philosophy. 4:1994;181-198.
    • (1994) Arabic Sciences and Philosophy , vol.4 , pp. 181-198
    • Vahabzadeh Bijan1
  • 154
    • 0038845243 scopus 로고
    • The Numerical Structure of Al-Khalīlī's Auxiliary Tables
    • van Brummelen Glen. The Numerical Structure of Al-Khalīlī's Auxiliary Tables. Physis. 28:1991;667-687.
    • (1991) Physis , vol.28 , pp. 667-687
    • Van Brummelen Glen1
  • 161
    • 8444238777 scopus 로고
    • Elements
    • de Young Gregg. Elements. Physis. 38:1991;647-666.
    • (1991) Physis , vol.38 , pp. 647-666
    • De Young Gregg1
  • 164
    • 0038844276 scopus 로고
    • Proof and Pedagogy in Medieval Islamic Mathematics
    • Berggren J. Lennart. Proof and Pedagogy in Medieval Islamic Mathematics. Interchange. 21:1990;36-48.
    • (1990) Interchange , vol.21 , pp. 36-48
    • Berggren J. Lennart1
  • 165
    • 0039436968 scopus 로고
    • Historical Reflections on Scientific Knowledge: The Case of Medieval Islam
    • Toronto: OISE Press
    • Berggren J. Lennart. Historical Reflections on Scientific Knowledge: the Case of Medieval Islam. Knowledge Across Cultures: Universities East and West. 1994;137-153 OISE Press, Toronto.
    • (1994) Knowledge Across Cultures: Universities East and West , pp. 137-153
    • Berggren J. Lennart1
  • 167
    • 0038844283 scopus 로고
    • The Attitude of Orthodox Islam Toward the Ancient Sciences
    • Merlin Swartz. Oxford: Oxford Univ. Press
    • Goldziher Ignaz. The Attitude of Orthodox Islam Toward the Ancient Sciences. Swartz Merlin. Studies on Islam. 1981;185-215 Oxford Univ. Press, Oxford.
    • (1981) Studies on Islam , pp. 185-215
    • Goldziher Ignaz1
  • 171
    • 0040622297 scopus 로고
    • André Allard. Paris: Librairie scientifique et technique Albert Blanchard
    • al-Khwārizmī Muh ibn Mūsā. Allard André. Le calcul indien (algorismus). 1992;Librairie scientifique et technique Albert Blanchard, Paris.
    • (1992) Le Calcul Indien (Algorismus)
    • Al-Khwarizmi Muh Ibn Musa1
  • 178
    • 84982560944 scopus 로고
    • Two Medieval Approaches to the Equation of Time
    • Kennedy Edward S. Two Medieval Approaches to the Equation of Time. Centaurus. 31:1988;1-8.
    • (1988) Centaurus , vol.31 , pp. 1-8
    • Kennedy Edward, S.1
  • 182
    • 84882781605 scopus 로고
    • Islamic Acquisition of the Foreign Sciences: A Cultural Perspective
    • Berggren J. Lennart. Islamic Acquisition of the Foreign Sciences: A Cultural Perspective. American Journal of Islamic Social Sciences. 9:1992;310-324.
    • (1992) American Journal of Islamic Social Sciences , vol.9 , pp. 310-324
    • Berggren J. Lennart1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.