Ebook: Popularizing Mathematical Methods in the People’s Republic of China: Some Personal Experiences

Professor Hua Loo-Keng is the first person to have undertaken the task of popularizing mathematical methods in China. As early as 1958, he proposed that the application of operations research methods be initiated in industrial production. With his students, Yu Ming-I, Wan Zhe Xian and Wang Yuan, Professor Hua visited various transportation departments to promote mathematical methods for dealing with transportation problems, and a mass campaign was organized by them and other mathematicians to advance and apply linear programming methods to industrial production in Beijing and in Shandong province. However, due to the fact that these methods have limited applications and their computation is rather complex, their popularization and utilization in China have so far been restricted to a small number of sectors such as the above mentioned transportation departments. In 1958 Hua Loo--Keng proposed the use of Input-Output methods in the formulation of national economic plans. Apart from publicizing this method, he carried out in-depth research on the subject. He also gave lectures on related non-negative matrix theory, pointing out the economic significance of various theoretical results.

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Content:
Front Matter....Pages i-xxii
Introduction....Pages 1-23
On the Calculation of Mineral Reserves and Hillside Areas on Contour Maps....Pages 25-40
The Meshing Gear-Pair Problem....Pages 41-55
Optimum Seeking Methods (single variable)....Pages 57-78
Optimum Seeking Methods (several variables)....Pages 79-109
The Golden Number and Numerical Integration....Pages 111-124
Overall Planning Methods....Pages 125-136
Program Evaluation and Review Technique (PERT)....Pages 137-149
Machine Scheduling....Pages 151-158
The Transportation Problem (Graphical Method)....Pages 159-172
The Transportation Problem (Simplex Method)....Pages 173-199
The Postman Problem....Pages 201-209

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Content:
Front Matter....Pages i-xxii
Introduction....Pages 1-23
On the Calculation of Mineral Reserves and Hillside Areas on Contour Maps....Pages 25-40
The Meshing Gear-Pair Problem....Pages 41-55
Optimum Seeking Methods (single variable)....Pages 57-78
Optimum Seeking Methods (several variables)....Pages 79-109
The Golden Number and Numerical Integration....Pages 111-124
Overall Planning Methods....Pages 125-136
Program Evaluation and Review Technique (PERT)....Pages 137-149
Machine Scheduling....Pages 151-158
The Transportation Problem (Graphical Method)....Pages 159-172
The Transportation Problem (Simplex Method)....Pages 173-199
The Postman Problem....Pages 201-209
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