和算对中算的继承与创新—以关孝和的內插法为例
The Succession and Innovation of Wasan to Chinese Mathematics —A case study on Seki’s interpolation
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참고문헌
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초록
以和算家的累裁招差法为例，通过探讨和算家的问题来源，及其处理这些问题时与中算家的不同方法和态度，说明中日两国数学家在数学创造方面的一些异同之处。和算作为继承并发展中国古代数学的一个标本，对于深刻理解机械化的程序算法体系的数学传统，是有益处的。
Abstract
Japanese mathematics, namely Wasan, was well-developed before the Meiji period. Seki Takakazu (1642?–1708) is the most famous one. Taking Seki’s interpolation as an example, the similarities and differences are made between Wasan and Chinese mathematics. According to investigating the sources and aitudes to this problem which both Japanese and Chinese mathematicians dealt with, the paper tries to show how and why Japanese mathematicians accepted Chinese tradition and beyond. Professor Wu Wentsun says that, in the whole history of mathematics,there exist two different major trends which occupy the main stream alternately. The axiomatic deductive system of logic is the one which we are familiar with. Another, he believes, goes to the mechanical algorithm system of program. The laer featured traditional Chinese mathematics,as well as Wasan. As a typical sample of the succession of Chinese tradition, Wasan will help people to understand the real meaning of the mechanical algorithm system of program deeper.
참고문헌 (17)
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