

Hardcover
Published: 6th October 2004
ISBN: 9780521829960
Number Of Pages: 210
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The transformation of mathematics from ancient Greece to the medieval Arab-speaking world is here approached by focusing on a single problem proposed by Archimedes and the many solutions offered. In this trajectory Reviel Netz follows the change in the task from solving a geometrical problem to its expression as an equation, still formulated geometrically, and then on to an algebraic problem, now handled by procedures that are more like rules of manipulation. From a practice of mathematics based on the localized solution (and grounded in the polemical practices of early Greek science) we see a transition to a practice of mathematics based on the systematic approach (and grounded in the deuteronomic practices of Late Antiquity and the Middle Ages). With three chapters ranging chronologically from Hellenistic mathematics, through late Antiquity, to the medieval world, Reviel Netz offers a radically new interpretation of the historical journey of pre-modern mathematics.
"For the true mathematics historian, this is a fascinating exploration, perhaps different from one's previous ideas of this time period. Highly recommended." M.D. Sanford, Felician College "...engaging, provocative, and definitely worth reading and thinking about." MAA Reviews, Fernando Q. Gouvea "...recommended reading--for its thought-provoking ideas and lively writing--for those with a serious interest in the mathematics of ancient Greece and medieval Islam." - Mathematical Reviews, J.L. Berggren
Acknowledgements | |
Introduction | |
The problem in the world of Archimedes | |
From Archimedes to Eutocius | |
From Archimedes to Khayyam | |
Conclusion | |
References | |
Index | |
Table of Contents provided by Publisher. All Rights Reserved. |
ISBN: 9780521829960
ISBN-10: 0521829968
Series: Cambridge Classical Studies
Audience:
Professional
Format:
Hardcover
Language:
English
Number Of Pages: 210
Published: 6th October 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.4 x 15.4
x 1.7
Weight (kg): 0.41
Earn 507 Qantas Points
on this Book