Outline of Algorithm in Mathematics《数术大略》 Author：[Song]Qin-JiuShao(1247) 秦九韶[Emendator：Shi-YuanDong石远东] Comments: 284 Pages. Category: General Mathematics 目录Contents 石远东序Preface by Shi-YuanDong 秦九韶序Preface by Qin-JiuShao Chapter 1. 大衍类DaYanShu(Indeterminate Analysis) Chapter 2. 天时类Astronomic, Calendar, Weather Chapter 3. 田域类Area of Cropland Chapter 4. 测望类Survey Chapter 5. 赋役类Taxation and Levies of Labor Chapter 6. 钱谷类Money and Rice Chapter 7. 营建类Buildings and Fortifications Chapter 8. 军旅类Military Affairs Chapter 9. 市易类Price and Accrual Qin-JiuShao Qin-JiuShao (秦九韶, 1208–1268), courtesy name: DaoGu (道古). Qin-JiuShao was born in AnYue, SiChuan province(普州，四川省安岳), his family came from ShanDong province(鲁郡). His work is the ShùShùDàLüè《数术大略》(Outline of Algorithm in Mathematics,1247); It’s called ShùXuéJiǔZhānɡ《数学九章》in SìKùQuánShū《四库全书》; and now, everyone know It’s called ShùShūJiǔZhānɡ《数书九章》. This treatise covered a variety of topics including indeterminate equations and the numerical solution of certain polynomial equations up to 10th order, as well as discussions on military matters and surveying. In the treatise Qin-JiuShao included a general form of the Chinese remainder theorem that used DaYanShu (大衍术) or algorithms to solve it. In geometry, he discovered “Qin-JiuShao's formula” for finding the area of a triangle from the given lengths of three sides. This formula is the same as Heron’s formula, proved by Heron of Alexandria about 60 BC, though knowledge of the formula may go back to Archimedes.