The Transformation of Mathematics in the Early Mediterranean World
From Problems to Equations
1st Edition
Published on 6. February 2011
978-0-511-20709-9 (ISBN)
Description
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 an alternate interpretation of the historical journey of pre-modern mathematics.
Reviews / Votes
"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. BerggrenMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises
File size
1,34 MB
ISBN-13
978-0-511-20709-9 (9780511207099)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Reviel Netz
The Transformation of Mathematics in the Early Mediterranean World
From Problems to Equations
Book
09/2007
Cambridge University Press
€60.60
Shipment within 15-20 days
Reviel Netz
The Transformation of Mathematics in the Early Mediterranean World
From Problems to Equations
Book
06/2004
Cambridge University Press
€129.70
Shipment within 15-20 days
Person
Reviel Netz is Associate Professor in the Department of Classics at Stanford University. He has published widely in the field of Greek mathematics: The Shaping of Deduction in Greek Mathematics: A Study in Cognitive History (1999) was runner-up for the Runciman Prize for 2000, and he is currently working on a complete English translation of and commentary on the works of Archimedes, the first volume of which was published in 2003. He has also written a volume of Hebrew poetry and an historical study of barbed wire.
Content
Acknowledgements; Introduction; 1. The problem in the world of Archimedes; 2. From Archimedes to Eutocius; 3. From Archimedes to Khayyam; Conclusion; References; Index.
