Ancient Science of China中国古代科学
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Xiahouyang Suanjing夏侯阳算经
TangMathematicsComplete格物

夏侯阳算经

Xiahouyang Suanjing

Xiahou Yang's Mathematical Manual (5th–8th centuries CE) focuses on administrative mathematics—taxation, land allocation, and official salaries. Its primary significance lies in documenting the evolut…

About This Work

Xiahou Yang's Mathematical Manual (5th–8th centuries CE) focuses on administrative mathematics—taxation, land allocation, and official salaries. Its primary significance lies in documenting the evolution of Chinese decimal place-value notation and counting-rod computation, bridging the early Han methods with the more abstract algebraic innovations of the Song and Yuan periods.

Contents · 内容

Vol.1: Multiplication, Division, and Square Roots卷上 乘除 开方
Vol.1: Measurement Units and Currency卷上 度量衡 钱币
Vol.2: Proportional Taxation and Grain Exchange卷中 粟米 衰分 均输
Vol.2: Area and Volume Calculations卷中 方田 少广 商功
Vol.3: The Rule of False Position and Linear Systems卷下 盈不足 方程

Why This Matters

This text is part of the living archive of Chinese intellectual achievement — a tradition that produced systematic astronomical observation, mathematical innovation, medical frameworks still in clinical use, and engineering at continental scale, centuries before comparable developments in Europe.

The question "did ancient China have science?" misunderstands what science is. Science is not a single cultural tradition — it is the systematic observation of nature, the rigorous documentation of phenomena, the testing of ideas against evidence, and the building of knowledge across generations. By every one of these measures, the works in this catalogue are scientific. They used different conceptual frameworks — correlative rather than mechanistic, systemic rather than reductionist — but these frameworks produced real knowledge: accurate star catalogues, effective medical treatments, precise calendar computations, and technologies that transformed civilization.