Synthesis as a Stage in the History of Mathematics

Benoit, Paul ; Chemla, Karine ; Ritter, Jim (eds.) Histoire de fractions, fractions d'histoire, Bâle, Birkhäuser, 1992.

Chemla, Karine , "Theoretical Aspects of the Chinese Algorithmic Tradition," in Historia Scientiarum, 42, 1991, pp. 75-98.

— "Similarities between Chinese and Arabic Mathematical Writings, I: Root Extraction." Preprint du séminaire d'histoire des sciences de l'Aniquité à l'Age classique (in press).

Knorr, Wilbur , "Techniques of Fractions in Ancient Egypt and Greece," Historia Mathematica, 9, 1982, pp. 133-71.

Rashed, Roshdi , "L'extraction de la racine nième et l'invention des fractions

décimales (XI-XIIe siècle)," Archive for History of the Exact Sciences, 18, no. 3,1978, pp. 191-243, reprinted in R. Rashed , 1984a, pp. 93-145.

— "L'idée de l'algèbre selon al-Khwarizmi," Fundementa Scientiae, 4, no. 1, 1983, pp. 87-100, reprinted in R. Rashed 1984a, pp. 17-29.

— Entre arithmétique et algèbre. Recherches sur l'histoire des mathématiques arabes, Paris, Les Belles Lettres , 1984a.

— Diophante. Les Arithmétiques, (Books in Arabic: t. III: 1. IV: t. IV: I. V, VI, VII), Paris, Les Belles Lettres , 1984b.

Smith, David Eugene , History of Mathematics, first edition, vol. I, 1923; vol. II, 1925 . Second edition, vol. I, 1951; vol. II, 1953. Reimpression of the second edition in 1958. New York, Dover Publications.

Thureau-Dangin, François , Textes mathématiques babyloniens, Leyde, Brill, 1938.

Ver Eecke, Pierre , Diophante d'Alexandrie. Les six livres arithmétiques et le livre des nombres polygones. Paris, Librairie Albert Blanchard, 1959.