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数学建模的艺术和对美的追求

On the Art of Mathematic Modeling and the Pursuit of its Beauty

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【作者】 程承运

【Author】 CHENG Cheng-yun (College of Science,Three Gorges University,Yichang 443002,Hubei,China)

【机构】 三峡大学理学院 湖北宜昌443002

【摘要】 论述了数学建模的艺术和对美的追求 :数学建模作为数学的一个特殊分支 ,是恰到好处地描绘客观世界特定对象的数学结构的艺术。模型构成与绘画构图一样关注模式与秩序 ,从混沌中发现有序。数学建模需要想象、联想、直觉和灵感。衡量数学模型的美主要依据它与对象之间的“距离” ,对该“距离”的刻画即模型的精度———模型与对象“似”的程度 ,提出数学模型的美在似与不似之间 ,追求最佳的精度就是追求美

【Abstract】 The paper discusses the art of the mathematic modeling as well as the pursuit of its beauty.As a special branch of mathematic,mathematic modeling is an art of describing the mathematic structure of some specific objects in the objective world .The construction of modeling,like the skeleton of drawing,focuses just the same on the pattern and order,especially the sorting from the chaos.Mathematic modeling needs imaginations,associations,intuitions and inspirations.The measurement of the beauty of modeling is dependent on the “distance” between the model and its object,that is,the description of this “distance” is the exactness of the modeling,or the degree of the “similarities” between the two.Therefore,the paper claims that the beauty of mathematic modeling lies in the subtle distance between the similarities and the differences.What’s more,the pursuit of the best preciseness is the exact meaning of the pursuit of beauty.

【关键词】 数学艺术数学美数学建模
【Key words】 Mathematicsartmathematic beautymathematic modeling
  • 【文献出处】 三峡大学学报(人文社会科学版) ,Journal of Hubei Three Gorges University , 编辑部邮箱 ,2004年06期
  • 【分类号】J0
  • 【被引频次】2
  • 【下载频次】251
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