CONTENTS
001 The Art of Problem Solving
005 Key Mathematicians and Mathematical
Texts
019 Arithmetic and Algebra
Problem I: From Luoyn to Chn馈n 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: Mouhefan括ai 117
Problem X: Sphere 123
127 Right Triangles
Problem I: Gouu 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