A Comparative Study of Chinese and Western Mathematical Thoughts

摘要

China's traditional mathematics has a long history and rich achievements. From the founding to the modern times, traditional Chinese mathematics has been developing independently and is rarely influenced by Western mathematical thoughts. I will analyze the historical significance and value of "Nine Chapters of Arithmetic"; the reasons for the rise of mathematics in Sui and Tang Dynasties; the reasons for the rapid development of mathematics in the Yuan Dynasty; the reasons for the decline of mathematics in the Ming and Qing Dynasties, and the analysis of the characteristics and ways of thinking of ancient Chinese traditional mathematics. This paper has summarized it and compared it with Western mathematical thinking. Also, it has discovered the differences and similarities between the two. Based on the predecessors, I have summed up and predicted about how the future of Chinese mathematics should go.