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Siyuan yujian
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Blaise Pascal first described his triangle for generating the coefficients of a binomial expansion in 1665. The Chinese version, however, is centuries older. It was included as an illustration in Zhu Shijie's Siyuan yujian (1303; “Precious Mirror of Four Elements”), where it was already called the “Old Method.”
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Siyuan yujian

work by Zhu Shijie

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discussed in biography

  • In Zhu Shijie

    …“Introduction to Mathematical Science”) and Siyuan yujian (1303; “Precious Mirror of Four Elements”). The former is an introductory mathematics textbook, proceeding from elementary arithmetic to algebraic calculations. Through its layout and progression it clearly testifies to the author’s didactic concern. Following the southern Chinese tradition of mathematics, this book contains…

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