The Transformation of Mathematics in the Early Mediterranean World pdf epub mobi txt 電子書下載2025

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出版者:

作者:Netz, Reviel

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頁數:210

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出版時間:2004-7

價格:$ 128.82

裝幀:Hardcover

isbn號碼:9780521829960

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科學史

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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 an alternate interpretation of the historical journey of pre-modern mathematics.

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数学范式的其实是和数学实践所要解决的问题有关。同一个问题，foreground不一样，解决问题所进行的数学实践就不一样。古希腊的foreground是local characteristics of configurations, giving rise to the problem; 中世纪的是global characteristics of relations, giving ri...

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