The Primary Resarch Of 《Xi Suan Xin Fa Zhi Jie》

In the middle of 19th century , the competition between the inside and outside of china smashed the normal finance balance of Qing Dynasty. Feng Guifen suggested to import the way of making all countries strang and prosperous , To strang and prosperous we must develop technique ,the development of technique established on the amount of the knowledge, thus expanding the amount of the knowledge was the key problem, especially the expanding of mathematic knowledge. However, the new western mathematics different from traditional Chinese mathematics and the former western mathematics, the main object of mathematics was general relationship. Because of lacking of the explaination of traditional form , people felt puzzled about these resules, hence《XiSuanXinFaZhiJie》appeared.There are lots of researches on Feng Guifen's achievements. As to《Xi Suan Xin Fa Zhi Jie》special discussion has not yet carried out. This paper attempts to inquire into this work. Analysed the contents,features and effects, also explained the contributions and limitations. It is helpful us to use to acknowledge the initial reaction of Chinese mathematica , acquaint the history sprend of the calculus in China, comprehend the history of Chinese mathematics westernize.The paper involves three aspects. Summarized as following.1,The course of writing book was written :Briefly explained the background of《Xi Suan Xin Fa Zhi Jie》and the writer's idea motivation competition between the inside and outside of chinese smashed the normal financial balance of Qing Dynasty. The only way out realizing technique modernization .2,The contents of the book: Arranged the contents of this book ,compared to《Elements of Analytical geomenory and of differential and Integral calculus》, Finally analyse the《ZhiJie》structures and features. Although the mathematical contents choosed from the《Elements of Analytical geomenory and of differential and Integral calculus》, the form was close to the ancient traditions. The proof of the tan(α+β) formal can be say originated.3,The range of influence: According to the structure features of《Zhi Jie》, the writer's idea motivation and some remained editions, this paper explained it's contributions and limitations. Although losing essence of the new western mathematics in explain. As this book was based on Pythagorean theory and caused the development of the proofs of Chinese mathematics and evolution of concepts of Chinese mathematics .This paper analysed the contects and features of《Xi Suan Xin Fa Zhi Jie》It's frist time to explain the initial reaction of Chinese mathematican. About Feng Guifen's mathematics work,his characters,the evolution of mathematics concepts evolution and safeguarding the traditional relationship of knowledge ,this paper made a concret and exact analyse.