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.
發表於2024-12-29
The Transformation of Mathematics in the Early Mediterranean World 2024 pdf epub mobi 電子書 下載
數學範式的其實是和數學實踐所要解決的問題有關。 同一個問題,foreground不一樣,解決問題所進行的數學實踐就不一樣。 古希臘的foreground是local characteristics of configurations, giving rise to the problem; 中世紀的是global characteristics of relations, giving ri...
評分數學範式的其實是和數學實踐所要解決的問題有關。 同一個問題,foreground不一樣,解決問題所進行的數學實踐就不一樣。 古希臘的foreground是local characteristics of configurations, giving rise to the problem; 中世紀的是global characteristics of relations, giving ri...
評分數學範式的其實是和數學實踐所要解決的問題有關。 同一個問題,foreground不一樣,解決問題所進行的數學實踐就不一樣。 古希臘的foreground是local characteristics of configurations, giving rise to the problem; 中世紀的是global characteristics of relations, giving ri...
評分數學範式的其實是和數學實踐所要解決的問題有關。 同一個問題,foreground不一樣,解決問題所進行的數學實踐就不一樣。 古希臘的foreground是local characteristics of configurations, giving rise to the problem; 中世紀的是global characteristics of relations, giving ri...
評分數學範式的其實是和數學實踐所要解決的問題有關。 同一個問題,foreground不一樣,解決問題所進行的數學實踐就不一樣。 古希臘的foreground是local characteristics of configurations, giving rise to the problem; 中世紀的是global characteristics of relations, giving ri...
圖書標籤: 科學史
他的視角很有"唯物史觀"的感覺
評分他的視角很有"唯物史觀"的感覺
評分他的視角很有"唯物史觀"的感覺
評分他的視角很有"唯物史觀"的感覺
評分他的視角很有"唯物史觀"的感覺
The Transformation of Mathematics in the Early Mediterranean World 2024 pdf epub mobi 電子書 下載