Zhu Shijie's Method of "Four Unknowns" as Inspiration for Wu Wen-Tsun

Kód výsledku v IS VaVaI

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Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Zhu Shijie's Method of "Four Unknowns" as Inspiration for Wu Wen-Tsun

Popis výsledku v původním jazyce

In 1977, Wu Wenjun designed a method of automated proving of geometric theorems, now called 'mathematics mechanisation' or Wu's method. Wu famously announced that his method received inspiration from ancient Chinese mathematics - from its overall spirit,and more directly from specific algorithms for the reduction of polynomials. This paper focuses on these algorithms and their relationship to Wu's work. I will first briefly review what Wu has written about his inspiration in Chinese mathematics; then compare the central algebraic technique of his method with one part of the method of "Four Unknowns" (si yuan shu), recorded by Zhu Shijie in 1303, and finally argue that Qian Baocong's History of Chinese Mathematics (1964) and his clear explanation of the ancient technique played a crucial role in the process of transmission. I will conclude that inspiration has to be understood as a psychological driving force and trigger, rather than as supplying concepts and techniques lacking in West

Název v anglickém jazyce

Zhu Shijie's Method of "Four Unknowns" as Inspiration for Wu Wen-Tsun

Popis výsledku anglicky

In 1977, Wu Wenjun designed a method of automated proving of geometric theorems, now called 'mathematics mechanisation' or Wu's method. Wu famously announced that his method received inspiration from ancient Chinese mathematics - from its overall spirit,and more directly from specific algorithms for the reduction of polynomials. This paper focuses on these algorithms and their relationship to Wu's work. I will first briefly review what Wu has written about his inspiration in Chinese mathematics; then compare the central algebraic technique of his method with one part of the method of "Four Unknowns" (si yuan shu), recorded by Zhu Shijie in 1303, and finally argue that Qian Baocong's History of Chinese Mathematics (1964) and his clear explanation of the ancient technique played a crucial role in the process of transmission. I will conclude that inspiration has to be understood as a psychological driving force and trigger, rather than as supplying concepts and techniques lacking in West

Druh

D - Stať ve sborníku

CEP obor

AB - Dějiny

OECD FORD obor

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Projekt

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Návaznosti

N - Vyzkumna aktivita podporovana z neverejnych zdroju

Rok uplatnění

2012

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Multi-cultural Perspectives of the History of Science and Technology in China: Proceedings of the 12th International Conference on the History of Science in China

ISBN

978-7-03-034952-1

ISSN

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e-ISSN

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Počet stran výsledku

7

Strana od-do

49-56

Název nakladatele

Science Press

Místo vydání

Beijing, CN

Místo konání akce

Beijing, CN

Datum konání akce

26. 6. 2010

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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