Calculations performed using small bamboo counting rods.Traditional decimal notation -- one symbol for each of 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 100, 1000, and 10000. Ex. 2034 would be written with symbols for 2,1000,3,10,4, meaning 2 times 1000 plus 3 times 10 plus 4
A book of bamboo strips found in 1984 near Jiangling in Hubei province
Collects mathematics to beginning of Han dynasty. 246 problems in 9 chapters. Longest surviving and most influential Chinese math book. Many subsequent commentaries.
Proof of the Pythagorean theorem
Sun Zi wrote his mathematical manual which included the "Chinese Remainder Problem"
Liu Hui commentary on Ch 9 of the Nine Chapters. Includes nine surveying problems involving indirect observations. Approximates pi by approximating circles polygons; approximates pi as 3.141014
States principle of exhaustion for circles
Suggests Calvalieri's principle to find accurate volume of cylinder
Da ming li (Da Ming Calendar) (462)
Zhui shu (Method of Interpolation)
Jiuzhang shu yi zhu (Commentary on the Methods and Essence of the `Nine Chapters')
Chong cha zhu (Commentary on Double Differences)
Luan also wrote Mathematical Manual of the Five Government Departments and Memoir on Some Traditions of Mathematical Art.
This collection included the Jiuzhang suanshu (Nine Chapters of the Mathematical Art), Haidao suanjing (Sea Island Mathematical Manual), Sunzi suanjing (Master Sun's Mathematical Manual), Wucao suanjing (Mathematical Manual of the Five Government Departments), Wujing suanshu (Arithmetic in Five Classics), Zhang Qiujian suanjing (Zhang Qiujian's Mathematical Manual), Xiahou Yang suanjing (Xiahou Yang's Mathematical Manual), Zhui shu (Method of Interpolation), and Xugu suanjing (Continuation of Ancient Mathematics)
Matteo Ricci and Xu Guangqi translated Euclid's Elements
Supervised by Emperor Kang Xi (Aixinjueluo) (1654-1722), edited by Mei Juecheng, Chen Houyao, He Guozong, Ming Antu, Mei Wending, and others
In 1761, Mei Juecheng complied Mei Wending's written commentaries into the Mei shi congshu jiyao (Collected Works of the Mei Family). It included several works on mathematics: Bisuan (Pen Calculations), Chou suan (Napier's bones), Du suan shi li (Proportional Dividers), Shao guang shi yi (Supplement to `What Width'), Fang cheng lun (Theory of Rectangular Arrays), Gougu ju yu (Right-angled Triangles), Jihe tong jie (Explanations in Geometry), Ping san jiao ju yao (Elements of Plane Trigonometry), Fang yuan mi ji (Squares and Circles, Cubes and Spheres), Jihe bu bian (Supplement to Geometry), Hu san jiao ju yao (Elements of Spherical Trigonometry), Huan zhong shu chi (Geodesy), and Qiandu celiang (Surveying Solids).