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Published online by Cambridge University Press: 05 May 2010
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- The Transformation of Mathematics in the Early Mediterranean WorldFrom Problems to Equations, pp. 193 - 195Publisher: Cambridge University PressPrint publication year: 2004
References
and 1950. The Algebra of Umar Khayyam, Journal of the Royal Asiatic Society of Bengal, Science 16: 27–78Google Scholar
Benjamin, W. 1968. The Work of Art in the Age of Mechanical Reproduction, translated in Illuminations (ed. H. Arendt). New York. (Original: Das Kunstwerk im Zeitalter seiner technischen Rerodukzierbarkeit, Schrifteni: 366–405, ed. T. Adorno, 1955: Frankfurt.)
Clagett, M. 1964–84. Archimedes in the Middle Ages (5 vols.). Philadelphia
Corry, L. 1996. Modern Algebra and the Rise of Mathematical Structures. Boston
Cuomo, S. 2000. Pappus of Alexandria and the Mathematics of Late Antiquity. Cambridge
Decorps-Foulquier, M. 2000. Recherches sur les Coniques d'Apollonius de Pergé et leur commentateurs grecs. Histoire de la transmission des Livres I–IV. Paris
Fowler, D. H. F. 1999. The Mathematics of Plato's Academy (2nd ed.). Oxford
Fried, M. and Unguru, S. 2001. Apollonius of Perga's Conica: Text, Context, Subtext. Boston
Goldstein, C. 1995. Un Théorème de Fermat et ses lecteurs. Saint-Denis
Herreman, A. 2000. La Topologie et ses Signes. Paris
Heath, T. L. 1897. The Works of Archimedes. Cambridge
Heath, T. L. 1921. A History of Greek Mathematics. Oxford
Heiberg, J. L. 1885. Euclides: Opera. Vol. IV. Leipzig
Heiberg, J. L. 1891. Apollonius: Opera. Vol. I. Leipzig
Heiberg, J. L. 1893. Apollonius: Opera. Vol. II. Leipzig
Heiberg, J. L. 1898. Ptolemy: Syntaxis. Vol. I. Leipzig
Heiberg, J. L. 1910. Archimedes, Opera Omnia, Vol. I. Leipzig
Heiberg, J. L. 1913. Archimedes, Opera Omnia, Vol. II. Leipzig
Heiberg, J. L. 1915. Archimedes, Opera Omnia, Vol. III. Leipzig
1989. Sharaf Al-Din Al-Tusi on the Number of Positive Roots of Cubic Equations, Historia Mathematica 16: 69–85Google Scholar
Hoyrup, J. 1996. ‘The Four Sides and the Area’. Oblique Light on the Prehistory of Algebra, in Vita Mathematica ed. R. Calinger, Washington DC, pp. 45–65
Hughes, B. B. 1989. Robert of Chester's Latin Translation of Al-Khwarizmi's Al-Jabr. Stuttgart
Jones, A. 1986. Pappus of Alexandria: Book 7 of the Collection. New York
Karpinski, L. C. 1915. Robert of Chester's Latin Translation of the Algebra of Al-Khowarizmi. New York
Klein, J. 1934–6/1968. Greek Mathematical Thought and the Origins of Algebra. Cambridge MA
Knorr, W. 1986. The Ancient Tradition of Geometric Problems. Boston
Lloyd, G. E. R. 1996. Adversaries and Authorities. Cambridge
1989. The Arabic Transmission of Archimedes' Sphere and Cylinder and Eutocius' Commentary, Zeitschrift für Geschichte der Arabische-Islamischen Wissenschaften 5: 94–114Google Scholar
Mansfeld, J. 1994. Prolegomena: Questions to be Settled before the Study of an Author, or a Text. Leiden
Mansfeld, J. 1998. Prolegomena Mathematica from Apollonius of Perga to the Late Neoplatonists, with an Appendix on Pappus and the History of Platonism. Leiden
Mugler, C. 1972. Archimède, Opera. Vol. iv. Paris
Musharrafa, A. and Ahmad, M. A. 1939. Al-Khwarizmi: Kitab Al-Jabr wa Al-Muqabala. Cairo
1998. Deuteronomic Texts: Late Antiquity and the History of Mathematics, Revue d'Histoire des Mathématiques 4: 261–88Google Scholar
Netz, R. 1999. The Shaping of Deduction in Greek Mathematics: a Study in Cognitive History. Cambridge
Netz, R. 2000. Why did Greek Mathematicians Publish their Analyses? In Memorial Volume for Wilbur Knorr, eds. H. Mandel, J. Moravcsik, and P. Suppes, Stanford, pp. 139–57
Netz, R. 2001. Archimede. Encyclopedia Italiana della Storia della Scienza, Vol. I La Scienza Antica: 779–790. Rome
Netz, R. Forthcoming. The Works of Archimedes Translated into English, Volume I: The Two Books on Sphere and Cylinder. Cambridge
Netz, R., Saito, K. and N. Tchernetska. 2001. New Reading of Method Proposition 14: Preliminary Evidence from the Archimedes Palimpsest (Part 1), Sciamvs 2: 9–29
Rashed, R. 1986. Sharaf Al-Din Al-Tusi: Oeuvres Mathématiques. Algebre et Géometrie au Ⅻe siècle. Paris
Rashed, R. 2000. Les Catoptriciens Grecs: Les Mirroirs ardents. Paris
Rashed, R. and Vahabzadeh, B. 1999. Al-Khayyam Mathématicien. Paris
Rashed, R. and Vahabzadeh, B. 2000. Omar Khayyam the Mathematician (partial translation of [1999]). New York
Rome, A. 1936. Commentaires de Pappus et de Théon d'Alexandrie sur l'Almageste, Vol. II. Biblioteca Apostolica Vaticana: Vatican City
Rosen, F. 1831/1969. The Algebra of Muhammed ben Musa. New York
1985. Book II of Euclid's Elements in the Light of the Theory of Conic Sections, Historia Scientiarum: 31–60Google Scholar
1965. Steps Towards the Idea of Function: a Comparison between Eastern and Western Science of the Middle Ages, History of Science 4: 70–103Google Scholar
Thomas, I. 1941. Greek Mathematical Works. Vol. ii. Cambridge MA
1997. Index of the Propositions Used in Book vii of Pappus' Collection, The Journal of Humanities, Faculty of Letters, Chiba University 26: 155–8Google Scholar
Schöne, H. 1903. Hero: Opera. Vol. III. Leipzig
Sezgin, F. 1974. Geschichte des arabischen Schriftums, Bd. 5: Mathematik Bis ca. 430 H. Leiden
Toomer, G. J. 1976. On Burning Mirrors/Diocles. New York
1975. On the Need to Rewrite the History of Greek Mathematics, Archive for the History of Exact Sciences 15: 67–114Google Scholar
1979. History of Ancient Mathematics: Some Reflections on the State of the Art, Isis555–65Google Scholar
Vitrac, B. 1998. Euclide/Les Éléments. Vol. iii. Paris
Woepcke, F. 1851. L'Algèbre d'Omar AlKhayyâmî. Paris
Youschkevitch, A. P. 1976. Les Mathématiques arabes. Paris
Zeuthen, H. G. 1886. Die Lehere von den Kegelschnitten im Altertum. Kopenhagen
and 1950. The Algebra of Umar Khayyam, Journal of the Royal Asiatic Society of Bengal, Science 16: 27–78Google Scholar
Benjamin, W. 1968. The Work of Art in the Age of Mechanical Reproduction, translated in Illuminations (ed. H. Arendt). New York. (Original: Das Kunstwerk im Zeitalter seiner technischen Rerodukzierbarkeit, Schrifteni: 366–405, ed. T. Adorno, 1955: Frankfurt.)
Clagett, M. 1964–84. Archimedes in the Middle Ages (5 vols.). Philadelphia
Corry, L. 1996. Modern Algebra and the Rise of Mathematical Structures. Boston
Cuomo, S. 2000. Pappus of Alexandria and the Mathematics of Late Antiquity. Cambridge
Decorps-Foulquier, M. 2000. Recherches sur les Coniques d'Apollonius de Pergé et leur commentateurs grecs. Histoire de la transmission des Livres I–IV. Paris
Fowler, D. H. F. 1999. The Mathematics of Plato's Academy (2nd ed.). Oxford
Fried, M. and Unguru, S. 2001. Apollonius of Perga's Conica: Text, Context, Subtext. Boston
Goldstein, C. 1995. Un Théorème de Fermat et ses lecteurs. Saint-Denis
Herreman, A. 2000. La Topologie et ses Signes. Paris
Heath, T. L. 1897. The Works of Archimedes. Cambridge
Heath, T. L. 1921. A History of Greek Mathematics. Oxford
Heiberg, J. L. 1885. Euclides: Opera. Vol. IV. Leipzig
Heiberg, J. L. 1891. Apollonius: Opera. Vol. I. Leipzig
Heiberg, J. L. 1893. Apollonius: Opera. Vol. II. Leipzig
Heiberg, J. L. 1898. Ptolemy: Syntaxis. Vol. I. Leipzig
Heiberg, J. L. 1910. Archimedes, Opera Omnia, Vol. I. Leipzig
Heiberg, J. L. 1913. Archimedes, Opera Omnia, Vol. II. Leipzig
Heiberg, J. L. 1915. Archimedes, Opera Omnia, Vol. III. Leipzig
1989. Sharaf Al-Din Al-Tusi on the Number of Positive Roots of Cubic Equations, Historia Mathematica 16: 69–85Google Scholar
Hoyrup, J. 1996. ‘The Four Sides and the Area’. Oblique Light on the Prehistory of Algebra, in Vita Mathematica ed. R. Calinger, Washington DC, pp. 45–65
Hughes, B. B. 1989. Robert of Chester's Latin Translation of Al-Khwarizmi's Al-Jabr. Stuttgart
Jones, A. 1986. Pappus of Alexandria: Book 7 of the Collection. New York
Karpinski, L. C. 1915. Robert of Chester's Latin Translation of the Algebra of Al-Khowarizmi. New York
Klein, J. 1934–6/1968. Greek Mathematical Thought and the Origins of Algebra. Cambridge MA
Knorr, W. 1986. The Ancient Tradition of Geometric Problems. Boston
Lloyd, G. E. R. 1996. Adversaries and Authorities. Cambridge
1989. The Arabic Transmission of Archimedes' Sphere and Cylinder and Eutocius' Commentary, Zeitschrift für Geschichte der Arabische-Islamischen Wissenschaften 5: 94–114Google Scholar
Mansfeld, J. 1994. Prolegomena: Questions to be Settled before the Study of an Author, or a Text. Leiden
Mansfeld, J. 1998. Prolegomena Mathematica from Apollonius of Perga to the Late Neoplatonists, with an Appendix on Pappus and the History of Platonism. Leiden
Mugler, C. 1972. Archimède, Opera. Vol. iv. Paris
Musharrafa, A. and Ahmad, M. A. 1939. Al-Khwarizmi: Kitab Al-Jabr wa Al-Muqabala. Cairo
1998. Deuteronomic Texts: Late Antiquity and the History of Mathematics, Revue d'Histoire des Mathématiques 4: 261–88Google Scholar
Netz, R. 1999. The Shaping of Deduction in Greek Mathematics: a Study in Cognitive History. Cambridge
Netz, R. 2000. Why did Greek Mathematicians Publish their Analyses? In Memorial Volume for Wilbur Knorr, eds. H. Mandel, J. Moravcsik, and P. Suppes, Stanford, pp. 139–57
Netz, R. 2001. Archimede. Encyclopedia Italiana della Storia della Scienza, Vol. I La Scienza Antica: 779–790. Rome
Netz, R. Forthcoming. The Works of Archimedes Translated into English, Volume I: The Two Books on Sphere and Cylinder. Cambridge
Netz, R., Saito, K. and N. Tchernetska. 2001. New Reading of Method Proposition 14: Preliminary Evidence from the Archimedes Palimpsest (Part 1), Sciamvs 2: 9–29
Rashed, R. 1986. Sharaf Al-Din Al-Tusi: Oeuvres Mathématiques. Algebre et Géometrie au Ⅻe siècle. Paris
Rashed, R. 2000. Les Catoptriciens Grecs: Les Mirroirs ardents. Paris
Rashed, R. and Vahabzadeh, B. 1999. Al-Khayyam Mathématicien. Paris
Rashed, R. and Vahabzadeh, B. 2000. Omar Khayyam the Mathematician (partial translation of [1999]). New York
Rome, A. 1936. Commentaires de Pappus et de Théon d'Alexandrie sur l'Almageste, Vol. II. Biblioteca Apostolica Vaticana: Vatican City
Rosen, F. 1831/1969. The Algebra of Muhammed ben Musa. New York
1985. Book II of Euclid's Elements in the Light of the Theory of Conic Sections, Historia Scientiarum: 31–60Google Scholar
1965. Steps Towards the Idea of Function: a Comparison between Eastern and Western Science of the Middle Ages, History of Science 4: 70–103Google Scholar
Thomas, I. 1941. Greek Mathematical Works. Vol. ii. Cambridge MA
1997. Index of the Propositions Used in Book vii of Pappus' Collection, The Journal of Humanities, Faculty of Letters, Chiba University 26: 155–8Google Scholar
Schöne, H. 1903. Hero: Opera. Vol. III. Leipzig
Sezgin, F. 1974. Geschichte des arabischen Schriftums, Bd. 5: Mathematik Bis ca. 430 H. Leiden
Toomer, G. J. 1976. On Burning Mirrors/Diocles. New York
1975. On the Need to Rewrite the History of Greek Mathematics, Archive for the History of Exact Sciences 15: 67–114Google Scholar
1979. History of Ancient Mathematics: Some Reflections on the State of the Art, Isis555–65Google Scholar
Vitrac, B. 1998. Euclide/Les Éléments. Vol. iii. Paris
Woepcke, F. 1851. L'Algèbre d'Omar AlKhayyâmî. Paris
Youschkevitch, A. P. 1976. Les Mathématiques arabes. Paris
Zeuthen, H. G. 1886. Die Lehere von den Kegelschnitten im Altertum. Kopenhagen