数学方法论的历史研究

从文献分析出发，采用与历史相统一的方法，探讨了数学方法论的历史，数学方法论的提出，古代东西方的数学方法论、近代数学方法论思想，数学基础研究中的数学方法论，应用数学与数学的应用、计算机数学及数学中的创造性思维等方面，论述了数学方法论的产生和发展。由此得出结论，数学方法论是数学发展的产物和先导，它对数学研究、数学创造以及数学教育有着重要的促进作用。

A Study of the History of Mathematical Methodology

This paper approaches the history of mathematical methodology from analysis of literature using the method of unity of logical and historical. In the problem of the birth and development of mathematical methodology is interpreted in term of the origin of the m.m., the m.m. in the ancient China and the ancient West, the modern thoughts of the m.m., the m.m. of mathematical foundation, the applicable mathematics and the mathematical applications, the computer mathematics and the creative thinking in mathematics. All these studies lead the author to believe that the m.m.. Be the results of mathematical developing and it pays important positive role in mathematics reaserch, mathematics creative and mathematical education.