河南科技学院 2014 届本科毕业论文
论文题目：数学在经济学中的简单应用
学生姓名： 郭万根
所在院系： 数学科学学院
所学专业： 数学与应用数学
导师姓名： 李 巧 萍
完成时间： 2014-05-10
摘要
关系存在于数学和经济学的关系存在广泛，在现代经济学中的更多或更少的几乎每一个领域都使用统计和数学。学习经济学，如果不懂数学知识，很难准确地理解概念的内涵，也就无法对相关问题进行了探讨，更不要提自己做研究，给出结论所需要的边界条件或约束。要想更好了解学习经济主体的概念，分析经济问题，做经济学研究，你就必须掌握一定的数学知识。 关键字：数学，计量经济学，数学模型 ，经济学
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Abstract
Relationship exists widely in mathematics and economics, in the modern economics in almost every area of more or less have to use statistics and mathematics, mathematical economics knowledge, if not understand
mathematics knowledge, it is difficult to accurately understand the connotation of the concept, also is unable to the related problems are discussed in this paper, not to mention their own doing the research, need gives the conclusion when the boundary conditions or constraints. To understand the concept of learning a subject, the premise for the analysis of a problem. If you want to learn economics, research on economics, you must master certain knowledge of mathematics.
Keywords: math, economics, econometrics ，model
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目录
摘要 ................................................................................................................................................... I Abstract ........................................................................................................................................... II 目录 ................................................................................................................................................ III 1 数学在经济学中的影响 .............................................................................................................. 1
1.1作为简单明了的表达工具。 ............................................................................................ 1 1.2作为论证经济学理论的重要工具。 ................................................................................ 1 1.3提供量化的工具。 ............................................................................................................ 2 2 数学在经济学中的简单应用....................................................................................................... 2
导数在经济学中的应用 ........................................................................................................... 2
2.1边际概念 .................................................................................................................... 2 2.2边际成本 ............................................................................................................................ 2 2.3边际收益 ............................................................................................................................ 3 2.4边际利润 ............................................................................................................................ 4 3计量经济学中的生产函数模 ....................................................................................................... 5
3.1常用的成产函数模型 ........................................................................................................ 5 3.2 不变代替弹性生产函数模型，CES模型 ...................................................................... 6 3.3生产模型案例： ................................................................................................................ 7 4 生产者选择 建立模型 ................................................................................................................ 9
4.1最大利润模型 .................................................................................................................... 9 4.2最优定价模型 .................................................................................................................. 10
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