ONTENTS
001 The Art of Problem Solving
005 Key Mathematicians and Mathematical
Texts
019 Arithmetic and Algebra
Problem I: From Luoyɑnɡ to Chɑnɡ’ɑn 021
Problem II: Three Runners 026
Problem III: Nobles and Mandarins 030
Problem IV: Nine Dikes 036
Problem V: Five Canals 040
Problem VI: Rice Tax 042
Problem VII: Pheasants and Hares 046
Problem VIII: Joint Purchase 049
Problem IX: Rectangular Arrays 057
Problem X: Hundred Fowls Problem 067
073 Areas and Volumes
Problem I: Rectangular Field 075
Problem II: Trapezoidal Field 078
Problem III: Circle Field 082
Problem IV: Ring Field 087
Problem V: Pyramid and Cone 093
Problem VI: Sections of A Rectangular Prism 101
Problem VII: Square Frustum 108
Problem VIII: Conical Frustum 112
Problem IX: Mouhefanɡɡai 117
Problem X: Sphere 123
127 Right Triangles
Problem I: Gouɡu Diagram 129
Problem II: Winding Vine 133
Problem III: Reed in A Pond 135
Problem IV: The Tall Door 137
Problem V: Broken Bamboo 140
Problem VI: Two Runners 142
Problem VII: Inscribed Square 150
Problem VIII: Inscribed Circle 154
Problem IX: Square Towns 158
Problem X: Sea Island 163
Appendix:Timeline of Chinese
Mathematics 170
References 173
目录
003 解题的艺术
013 重要的数学家和算学书
020 算术和代数
题一：从洛阳到长安 023
题二：三人行 028
题三：五侯分橘 033
题四：九堤 038
题五：五渠 041
题六：米税 044
题七：雉兔同笼 047
题八：共买物 053
题九：方程 062
题十：百鸡术 069
074 面积和体积
题一：方田 076
题二：邪田 080
题三：圆田 084
题四：环田 090
题五：方锥与圆锥 097
题六：矩形棱柱的剖分 104
题七：方亭 110
题八：圆亭 114
题九：牟合方盖 120
题十：立圆 124
128 直角三角形
题一：勾股图 131
题二：葛缠木 134
题三：池中葭 136
题四：高户 138
题五：断竹 141
题六：两人行 146
题七：勾股容方 152
题八：勾股容圆 156
题九：邑方 160
题十：窥望海岛 166
附录：中国数学历史年表 171
参考文献 173
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