Classics in the History of Greek Mathematics

1. The Beginnings of Greek Mathematics.- Die Entdeckung der Möglichkeit von Wissenchaft.- Wie ist die Mathematik zu einer deduktiven Wissenschaft geworden?.- On the early history of axiomatics. The interaction of mathematics and philosophy in Greek antiquity..- 2. Studies on Greek Geometry.- Construction as Existence Proof in Ancient Geometry.- Book II of Euclid’s Elements in the Light of the Theory of Conic Sections.- The Meno and the Mysteries of Mathematics.- 3. Studies on Proportion Theory and Incommensurability.- Exdoxos-Studien I: Eine voreudoxische Proportionenlehre und ihre Spuren bei Aristoteles und Euklid.- The Discovery of Incommensurability by Hippasus of Metapontum.- Y avait-il une crise des fondements des mathématiques dans l’antiquité?.- The Impact of Modern Mathematics on Ancient Mathematics.- 4. Studies on Greek Algebra.- Zur Berechnung der quadratischen Gleichungen bei den Babyloniern.- Lost Greek mathematical works in Arabic translation.- Diophantus’ methods of solution.- 5. Did the Greeks Have the Notion of Common Fraction? Did They Use it?.- Techniques of fractions in Ancient Egypt and Greece..- Logistic and fractions in early Greek mathematics: a new interpretation..- 6. Methodological Issues in the Historiography of Greek Mathematics.- On the Need to Rewrite the History of Greek Mathematics..- Defence of a ‘Shocking’ Point of View..- Who Betrayed Euclid? (Extract from a letter to the Editor).- History of Ancient Mathematics: Some Reflections on the State of the Art.