The Algorithm of Extraction in Greek and Sino-Indian Mathematical Traditions

Duan Yao-Yong () and Kostas Nikolantonakis ()
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Duan Yao-Yong: The Chinese People’s Armed Police Force Academy
Kostas Nikolantonakis: University of West Macedonia

A chapter in Ancient Indian Leaps into Mathematics, 2009, pp 171-184 from Springer

Abstract: Summary In this paper, the problem of the origin of the algorithm of extraction is discussed. It is shown that the same algorithm, despite different mathematical cultures, existed in ancient China and Greece. The algorithm of extraction in China is algebraic and mechanical, in Greece geometric. The authors contrast the algorithm of extraction in China to that of Līlāvatī in India, though mathematics in ancient China and India both belong to the system of algorithms. In addition, the authors make use of the original literature of Greece, and at the same time, new results on the mathematics in the pre-Qin period, the outline of the algorithm of extraction in the pre-Nine Chapters.

Keywords: Early Writer; Eleventh Century; Mathematical Tradition; False Position; Digit Quotient (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-4695-0_11

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DOI: 10.1007/978-0-8176-4695-0_11

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