🔬 Discovery

Zhu Shijie's method of four unknowns

Método de los cuatro elementos de Zhu Shijie

Date
1303 · confidence high
Place
Yangzhou, Jiangsu, China
Credited to
Zhu Shijie (Siyuan yujian)
People
👤 Zhu Shijie1249–1314
Field
Knowledge & symbols

What was discovered

It extends tian yuan algebra to systems of up to four unknowns, eliminated successively on a two-dimensional board, and sums finite series of higher order. It is the pinnacle of medieval Chinese algebra.

The work was lost in China and recovered in the 19th century through Korean copies.

What it led to

  • elimination in polynomial systems
  • summation of higher-order arithmetic series
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