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Classics in the history of Greek mathematics

Édité parJean Christianidis

Détails | Table des matières

Introduction Hans-Joachim Waschkies

pp.3-18
Die Entdeckung der Möglichkeit von Wissenschaft Jürgen Mittelstrass

pp.19-44
Wie ist die Mathematik zu einer deduktiven Wissenschaft geworden? Attila Szabo

pp.45-80
On the early history of axiomatics

the interaction of mathematics and philosophy in Greek antiquity

Wilbur Richard Knorr

pp.81-109
Introduction Reviel Netz

pp.113-114
Construction as existence proof in ancient geometry

pp.115-137
Book II of Euclid's elements in the light of the theory of conic sections Ken Saito

pp.139-168
The meno and the mysteries of mathematics G. E. R. Lloyd

pp.169-183
Introduction Ken Saito

pp.187-190
Eudoxos — Studien I

eine voreudoxische Proportionenlehre und ihre Spuren bei Aristoteles und Euklid

Oskar Becker

pp.191-209
The discovery of incommensurability by Hippasus of Metapontum Kurt von Fritz

pp.211-231
Y avait-il une crise des fondements des mathématiques dans l'Antiquité? H. Freudenthal

pp.233-241
The impact of modern mathematics on ancient mathematics

pp.243-253
Introduction Jacques Sesiano

pp.257-263
Zur Berechnung der quadratischen Gleichungen bei den Babyloniern Kurt Vogel

pp.265-273
Lost Greek mathematical works in Arabic translation G. J. Toomer

pp.275-284
Diophantus' methods of solution Thomas L. Heath

pp.285-327
Introduction Jean Christianidis

pp.331-336
Techniques of fractions in ancient Egypt and Greece

pp.337-365
Logistic and fractions in early Greek mathematics

a new interpretation

David H. Fowler

pp.367-380
Introduction Sabetai Unguru

pp.383-384
On the need to rewrite the history of Greek mathematics Sabetai Unguru

pp.385-431
Defence of a "shocking" point of view

pp.433-445
Who betrayed Euclid? André Weil

pp.447-449
History of ancient mathematics

some reflections on the state of the art

Sabetai Unguru

pp.451-461

Détails de la publication

Maison d'édition: Springer

Lieu de publication: Dordrecht

Année: 2004

Pages: 474

Collection: Boston studies in the philosophy of science


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: 240

ISBN (hardback): 978-90-481-5850-8

ISBN (digital): 978-1-4020-2640-9

Citation complète:

Christianidis Jean (éd.), 2004, Classics in the history of Greek mathematics. Dordrecht, Springer.