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The Nine Chapters on the Mathematical Art
How wide is a field, how much grain fills a granary, how should taxes be shared fairly among counties at different distances, how tall is a tree seen from across a river? The Nine Chapters on the Mathematical Art is China's foundational book of mathematics, compiled in the Han dynasty and used for more than a thousand years. Its two hundred and forty-six problems, each with answer and method, cover field areas, grain exchange, proportional distribution, square and cube roots, volumes of walls, canals and granaries, excess and deficit, systems of equations with positive and negative numbers, and right triangles. Behind the practical questions stands a whole administrative world of surveyors, granary clerks and labour gangs. This complete new English translation includes the preface by the third-century mathematician Liu Hui and renders every problem, answer and rule in plain modern English.


