东方约瑟夫问题研究选析  

A Selected Analysis on the Study of Josephus Problem in the Orient

作　　者：沈康身[1] 

机构地区：[1]浙江大学数学系,浙江杭州310028

出　　处：《自然科学史研究》2003年第1期60-68,共9页Studies in The History of Natural Sciences

摘　　要：历史上东方有过约瑟夫问题多则,它们与西方有异。文章选述的中国和日本典型四例,在故事叙述上充满诙谐,富戏剧性。从数学要求来看,它们是问题原型的进一步发展,至今还具有足够能量向现代组合数学界挑战。Historically there were several Josephus Problems in the Orient. Different from that of the West, the narration of their relevant story of the Orient is quite humourous and dramatic, and viewed from the demands of mathematics, they are indeed the further development of the Problem. This paper gives 4 typical examples of China and Japan, which have so far continued to challenge modern combinatorial mathematics.

关 键 词：约瑟夫问题 方中通 关孝和 陈怀书 中国 日本 《数度衍》 

分 类 号：O112[理学—数学]