Language:Chinese.Pages Number: 226 Publisher: Dalian Polytechnic University Pub. Date :2011-5-1. Back in 1958. Hua that is engaged in mathematical methods in the popularity of China's industrial sector work. After years of exploration. he was determined to improve the production process of optimization and the production organization and management of co-ordination method as its popular mathematical methods. The method of his choice. although many from abroad. but he was careful comparison. s.

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Bibliographic Details

Title: Selected on the mathematical model(Chinese Edition)
Publisher: Dalian Polytechnic University Pub. Date :2011-5-1
Publication Date: 2011
Language: Chinese
ISBN 10: 7561161433
ISBN 13: 9787561161432
Binding: paperback
Condition: New

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Synopsis

《数学模型选谈》主要介绍了：关于在等高线图上计算矿藏储量与坡地面积的问题、挂轮问题、挂轮问题、优选法（单、多因素）、黄金数与数值积分和统筹方法等数学模型问题。早在1958年，华罗庚即投身于数学方法在我国工业部门中的普及工作。经过多年摸索，他才确定了以改进生产工艺过程的“优选法”与进行生产组织管理的“统筹法”作为其普及的数学方法。他所选择的方法虽多从国外引进，但他是经过认真比较、简化与改进，最后确定一些适合于中国工业发展水平的数学方法来加以普及。这项工作，他坚持了二十多年，取得了丰富的经验与成果。这本《数学模型选谈》将叙述他个人、朋友与学生的一些经验体会，所以仅仅是个人经验介绍。续编说明编写说明中文版序言感谢序英文版校订者序导论0.1三个原则0.2书本上寻0.3车间里找0.4优选法（O.S.M）0.5分数法0.6黄金数与数值积分0.7统筹方法（O.P.M.）0.8统计方法0.9结语一关于在等高线图上计算矿藏储量与坡地面积的问题1.1引言1.2矿藏储量计算1.3坡地面积计算参考文献二挂轮问题2.1引言2.2简单连分数2.3Farey贯2.4问题的算法2.5挂轮问题的求解参考文献三优选法（单因素）3.1引言3.2单峰函数3.3来回调试法3.4黄金分割法3.5定理3.1的证明3.6分数法3.7定理3.2的证明3.8对分法3.9抛物线法参考文献四优选法（多因素）4.1引言4.2单峰函数（多因素）4.3对开法4.4旋升法4.5F行线法4.6双因素的离散情况4.7翻筋斗法4.8最陡上升法4.9抛物体法4.10凸体4.11切块法4.120-1变元法参考文献五黄金数与数值积分5.1引言5.2若干引理5.3求积公式的误差估计5.4求积公式的Ω结果和下界5.5注记参考文献六统筹方法6.1引言6.2统筹法（CPM）6.3时差6.4F行作业与交叉作业6.5工人配备表参考文献七计划检查评审技术（PERT）7.1引言7.2概率的估计7.3计算过程7.4初等方法7.5注记参考文献八机器排序8.1引言8.2两台机床问题8.3一条引理8.4定理8.1的证明参考文献九运输问题（图上作业法）9.1引言9.2一个圈9.3定理9.1的证明，参考文献十运输问题（单纯形方法）10.1引言10.2消去变数与允许解10.3判别数10.4一个最优解的判别法10.5特征数10.6迭代10.7线性规划参考文献十一邮递员问题11.1引言11.2Euler路径11.3最优解的一个判别法参考文献悼念华罗庚怀念华罗庚纪念华罗庚先生

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