The Transformation of Mathematics in the Early Mediterranean World: From Problems to Equations

ISBN-13: 9780521829960 / Angielski / Twarda / 2004 / 210 str.

Reviel Netz

Opis

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.

Recenzje

"...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

Spis treści

Acknowledgements; Introduction; 1. The problem in the world of Archimedes; 2. From Archimedes to Eutocius; 3. From Archimedes to Khayyam; Conclusion; References; Index.