The Transformation of Mathematics in the Early Mediterranean World

From Problems to Equations

The Transformation of Mathematics in the Early Mediterranean World

The transformation of mathematics from its ancient Greek practice to its development in the medieval Arab-speaking world is approached by focusing on a single problem proposed by Archimedes and the many solutions offered. From a practice of mathematics based on the localized solution (originating in the polemical practices of early Greek science), we see a transition to a practice of mathematics based on the systematic approach (grounded in the deuteronomic practices of Late Antiquity and the Middle Ages). A radically new interpretation is accordingly offered of the historical trajectory of pre-modern mathematics.


 Reviews:

"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

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