试析《资本论》与数学方法的运用

发布时间：2018-05-21 05:57

本文选题：《资本论》 + 数学方法　；参考：《贵州师范大学》2007年硕士论文

【摘要】： 本文是针对数学方法在马克思《资本论》中的运用的分析和研究。具体包括以下几个方面的内容: (1)、运用数学模型的方法来分析《资本论》中的各种理论,对劳动价值论、再生产理论、剩余价值理论、经济增长理论等等,进行进一步地考察,同时吸收了中外学者对《资本论》研究的成果,吸收了中外学者对数学方法在经济学中应用的研究成果,展示了马克思《资本论》中对数学模型方法的运用。 (2)、运用博弈论的研究成果,分析马克思《资本论》中展示的各种矛盾,例如,无产阶级的联合理论,工人和资本家的关系问题。从博弈的角度来分析价值规律理论、从合作与竞争的角度来分析社会的各种经济关系,加深了对《资本论》的理解。展现了《资本论》的现代意义。 (3)、运用拓扑学不动点理论、实变函数中勒贝格测度理论、运筹学优化理论、统计学理论、线性代数理论、模型分析方法等等,对《资本论》中的各种经济理论进行分析。展示了数学作为一个基本方法在经济学中的广泛应用,本文吸收了国内外专家对《资本论》中数学方法的研究成果,并进行了全面地概括。 (4)、通过对数学方法在《资本论》中运用的探讨,通过对数学方法与经济学研究的关系的反思,从正反两个方面进行分析,阐述了数学方法在经济学中的真正的作用。
[Abstract]:This paper is an analysis and research on the application of mathematical methods in Marx's Capital. This includes the following aspects: Using the method of mathematical model to analyze the various theories in "Capital", to further investigate the theory of labor value, the theory of reproduction, the theory of surplus value, the theory of economic growth, and so on. At the same time, it absorbs the research results of Chinese and foreign scholars on Capital and the application of mathematical methods in economics, and shows the application of mathematical model method in Marx's Capital. Using the research results of game theory, this paper analyzes the contradictions shown in Marx's "Capital", such as the proletarian theory of association and the relationship between workers and capitalists. This paper analyzes the theory of the law of value from the angle of game theory and the economic relations of society from the angle of cooperation and competition, which deepens the understanding of Capital. It shows the modern significance of Capital. By means of the fixed point theory of topology, the theory of Lyberg measure in real variable function, the theory of operational research optimization, the theory of statistics, the theory of linear algebra, the method of model analysis and so on, the economic theories in Capital are analyzed. This paper shows the extensive application of mathematics as a basic method in economics. This paper absorbs the research results of mathematical methods in Capital from home and abroad, and generalizes them in an all-round way. Through the discussion of the application of mathematical methods in Capital and the reflection on the relationship between mathematical methods and economic research, this paper expounds the real role of mathematical methods in economics by analyzing the positive and negative aspects.
【学位授予单位】：贵州师范大学
【学位级别】：硕士
【学位授予年份】：2007
【分类号】：F091.91;F224

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