References for Eudoxus

  1. G L Huxley, Biography in Dictionary of Scientific Biography (New York 1970-1990).
  2. Biography in Encyclopaedia Britannica. [Available on the Web]

Books:

  1. T L Heath, A History of Greek Mathematics I (Oxford, 1921).
  2. T L Heath, The Thirteen Books of Euclid's Elements, 3 Vols. (Oxford, 1956).
  3. F Lasserre, Die Fragmente des Eudoxos von Knidos (Berlin, 1966).
  4. O Neugebauer, The Exact Sciences in Antiquity (Providence, R.I., 1957).
  5. O Neugebauer, A History of Ancient Mathematical Astronomy (3 Vols.) (Berlin-Heidelberg-New York, 1975).
  6. A Petit, La géométrie de l'infini chez Eudoxe, in Séminaire d'Analyse, 1987-1988 (Clermont-Ferrand, 1990).
  7. H-J Waschkies, Von Eudoxos zu Aristoteles, Das Fortwirken der Eudoxischen Proportionentheorie in der Aristotelischen Lehre vom Kontinuum (Amsterdam, 1977).

Articles:

  1. B Artmann, Über voreuklidische 'Elemente der Raumgeometrie' aus der Schule des Eudoxos, Arch. Hist. Exact Sci. 39 (2) (1988), 121-135.
  2. B Artmann, Über voreuklidische 'Elemente' aus der Schule des Eudoxos, in Mathematikdidaktik, Bildungsgeschichte, Wissenschaftsgeschichte, Georgsmarienhütte, 1986 II (Cologne, 1990), 14-16.
  3. Z Bechler, Aristotle corrects Eudoxus. Metaphysics 1073b-39-1074a 16, Centaurus 15 (2) (1970/71), 113-123.
  4. L Corry, Eudoxus' theory of proportions as interpreted by Dedekind (Spanish), Mathesis 10 (1) (1994), 1-24.
  5. E Craig (ed.), Routledge Encyclopedia of Philosophy 3 (London-New York, 1998), 452-453.
  6. J-L Gardies, Eudoxe et Dedekind, Rev. Histoire Sci. Appl. 37 (2) (1984), 111-125.
  7. A W Grootendorst, Eudoxus and Dedekind (Dutch), in Summer course 1993 : the real numbers (Amsterdam, 1993), 1-21.
  8. J Hjelmslev, Eudoxus' axiom and Archimedes' lemma, Centaurus 1 (1950), 2-11.
  9. G Huxley, Eudoxian Topics, Greek, Roman and Byzantine Studies 4 (1963), 83-96.
  10. W R Knorr, Plato and Eudoxus on the planetary motions, J. Hist. Astronom. 21 (4) (1990), 313-329.
  11. W Krull, Zahlen und Grössen - Dedekind und Eudoxos, Mitt. Math. Sem. Giessen No. 90 (1971), 29-47.
  12. E Maula, Eudoxus encircled, Ajatus 33 (1971), 201-243.
  13. A G Molland, Campanus and Eudoxus, or, trouble with texts and quantifiers, Physis - Riv. Internaz. Storia Sci. 25 (2) (1983), 213-225.
  14. O Neugebauer, On the 'Hippopede' of Eudoxus, Scripta Math. 19 (1953), 225-229.
  15. M Nikolic, The relation between Eudoxus' theory of proportions and Dedekind's theory of cuts, in For Dirk Struik (Dordrecht, 1974), 225-243.
  16. H Stein, Eudoxos and Dedekind : on the ancient Greek theory of ratios and its relation to modern mathematics, Synthese 84 (2) (1990), 163-211.
  17. A Szabo, Eudoxus und das Problem der Sehnentafeln, in Aristoteles. Werk und Wirkung 1 (Berlin-New York, 1985), 499-517.
  18. V E Thoren, Anaxagoras, Eudoxus, and the regression of the lunar nodes, J. Hist. Astronom. 2 (1) (1971), 23-28.
  19. I Toth, Le problème de la mesure dans la perspective de l'être et du non-être. Zénon et Platon, Eudoxe et Dedekind : une généalogie philosophico-mathématique, in Mathématiques et philosophie de l'antiquité à l'âge classique (Paris, 1991), 21-99.
  20. L Wright, The astronomy of Eudoxus : geometry or physics?, Studies in Hist. and Philos. Sci. 4 (2) (1973/74), 165-172.
  21. I Yavetz, On the homocentric spheres of Eudoxus, Arch. Hist. Exact Sci. 52 (3) (1998), 221-278.
  22. F Zubieta, Eudoxus' method of exhaustion applied to the circle (Spanish), Mathesis. Mathesis 7 (4) (1991), 482-486.
  23. F Zubieta, Eudoxus' definition of proportion (Spanish), Mathesis. Mathesis 7 (4) (1991), 477-482.

April 1999

MacTutor History of Mathematics
[http://www-history.mcs.st-andrews.ac.uk/References/Eudoxus.html]