Methods of solving linear equations in traditional China

DOI10.1016/0315-0860(89)90033-5zbMath0686.01005OpenAlexW2042999327MaRDI QIDQ1262293

Lay-Yong Lam, Shen Kangshen

Publication date: 1989

Published in: Historia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0315-0860(89)90033-5

zbMATH Keywords

elimination methodsLiu HuiJiu zhang suanshurod numerals

Mathematics Subject Classification ID

History of Chinese mathematics (01A25) History of linear algebra (15-03)

Related Items (4)

Jiu zhang suanshu (Nine chapters on the mathematical art): An overview ⋮ A Systematic Treatment of “Linear Algebra” in 17th-Century China ⋮ Practices of reasoning: persuasion and refutation in a seventeenth-century Chinese mathematical treatise of “linear algebra” ⋮ How ordinary elimination became Gaussian elimination

Cites Work

• Right-angled triangles in ancient China
• The conceptual origins of our numeral system and the symbolic form of algebra
• Linkages: Exploring the similarities between the Chinese rod numeral system and our numeral system
• Chu Shih-chieh's Suan-hsüeh ch'i-meng (Introduction to mathematical studies)
• A Chinese genesis: Rewriting the history of our numeral system
• Yang Hui's commentary on the ying nu chapter of the Chiu chang suan shu
• The Geometrical Basis of the Ancient Chinese Square-Root Method
• The Jih yung suan fa: An Elementary Arithmetic Textbook of the Thirteenth Century
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