References for Diophantus

Version for printing
  1. J Sesiano, K Vogel, Biography in Dictionary of Scientific Biography (New York 1970-1990).
    http://www.encyclopedia.com/topic/Diophantus_of_Alexandria.aspx
  2. Biography in Encyclopaedia Britannica.
    http://www.britannica.com/eb/article-9030557/Diophantus-of-Alexandria

Books:

  1. T L Heath, Diophantus of Alexandria: A Study in the History of Greek Algebra (New York, 1964).
  2. T L Heath, A history of Greek mathematics 2 (Oxford, 1931).
  3. J Klein, Greek mathematical thought and the origin of algebra (London, 1968).
  4. J Sesiano, Books IV to VII of Diophantus' 'Arithmetica' in the Arabic translation attributed to Qusta ibn Luqa (New York-Berlin, 1982).
  5. P Tannery, Diophanti Alexandrini Opera omnia cum graecis commentariis (2 vols.) (Leipzig, 1893-95).
  6. H Wussing, Diophantus, in H Wussing and W Arnold, Biographien bedeutender Mathematiker (Berlin, 1983).

Articles:

  1. A Allard, Le manuscrit des 'Arithmétiques' de Diophante d'Alexandrie et les lettres d'André Dudith dans le Monacensis lat. 10370, Mathemata, Boethius : Texte Abh. Gesch. Exakt. Wissensch. XII (Wiesbaden, 1985), 297-315.
  2. I G Bashmakova, Diophantus of Alexandria (2nd - 3rd centuries A.D.) (Russian), Mat. v Shkole (6) (1988), i.
  3. I G Bashmakova, E I Slavutin and B A Rozenfeld, The Arabic version of Diophantus' 'Arithmetica', in Science and technology : humanism and progress II (Moscow, 1981), 151-161.
  4. I G Basmakova, E I Slavutin and B A Rozenfeld, The Arabic text of Diophantus' 'Arithmetica' (Russian), Istor.-Mat. Issled. 23 (1978), 192-225, 358.
  5. M Cantor, Voresungen über Geschichte der Mathematik I (Leipzig, 1907), 463-488.
  6. J Christianidis, 'Enseignement des éléments de l'arithmétique' : un traité perdu de Diophante d'Alexandrie?, Historia Math. 18 (3) (1991), 239-246.
  7. K Joshi, Notes on Diophantus, Current Sci. 67 (12) (1994), 957-966.
  8. W R Knorr, 'Arithmetike stoicheiosis' : on Diophantus and Hero of Alexandria, Historia Math. 20 (2) (1993), 180-192.
  9. C Pereira da Silva, Diophantus of Alexandria (Portuguese), Bol. Soc. Paran. Mat. (2) 5 (1) (1984), 1-10.
  10. R Rashed, Notes sur la version arabe des trois premiers livres des 'Arithmétiques' de Diophante, et sur le problème 1.39, Historia Sci. (2) 4 (1) (1994), 39-46.
  11. R Rashed, Les travaux perdus de Diophante. I, Rev. Hist. Sci. 27 (1974), 97-122.
  12. R Rashed, Les travaux perdus de Diophante. II, Rev. Hist. Sci. 28 (1975), 3-30.
  13. E I Slavutin, Geometric interpretation of the methods for solving 'double equations' in Diophantus of Alexandria's 'Arithmetica' (Russian), Istor.-Mat. Issled. 26 (1982), 172-178.
  14. E I Slavutin, General method of solving indeterminate second degree equations in Diophantus' 'Arithmetica' (Russian), Istor.-Mat. Issled. 24 (1979), 310-330, 388-389.
  15. E I Slavutin, Some questions on the structure of the 'Arithmetic' of Diophantus of Alexandria (Russian), in Studies in the history of mathematics 18 'Nauka' (Moscow, 1973), 301-309, 339.
  16. J D Swift, Diophantus of Alexandria, The American Mathematical Monthly 63 (1956), 163-170.
  17. W C Waterhouse, Harmonic means and Diophantus I. 39, Historia Math. 20 (1) (1993), 89-91.

JOC/EFR February 1999

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