In the absence of historical data or whether the historical data are true or false, this paper analyzes the contents and methods of ancient mathematics in mathematical principles from the height of modern mathematics, so as to achieve the purpose of radicalization, theoretical generalization and historical hypothesis. Mathematical analysis is actually a connection between "ancient" and "present".
The history of mathematics is an interdisciplinary subject of arts and sciences. Judging from today's education situation, the gap between arts and sciences has made the talents trained by our education increasingly unable to adapt to today's modern society with high penetration of natural science and social science. It is precisely because of the interdisciplinary nature of the history of science that it can show the role of communicating arts and sciences.
Through the study of the history of mathematics, students in the department of mathematics can receive the training of mathematics major and get the cultivation of humanistic quality, while students in liberal arts or other majors can learn the general situation of mathematics and get the cultivation of mathematics and physics through the study of the history of mathematics. The achievements and moral character of mathematicians in history will also play a very important role in the personality cultivation of teenagers.
The research scope of the history of mathematics:
According to the research scope, it can be divided into internal history and external history:
1, internal history: from the internal reasons of mathematics (including the relationship with other natural sciences) to study the history of mathematics development;
2. External history: from external social reasons (including politics, economy and philosophy) to study the relationship between the development of mathematics and other social factors.
The history of mathematics and all branches of mathematics research are closely related to all aspects of social history and cultural history, which shows that the history of mathematics is interdisciplinary and comprehensive.
In terms of research materials, archaeological materials, historical archives, historical mathematics original documents, various historical documents, ethnological materials, cultural history materials, interviews with mathematicians, etc. are all important research objects, among which mathematical original documents are the most commonly used and important first-hand research materials.
From the research goal, we can study the evolutionary history of mathematical thoughts, methods, theories and concepts; We can study the interactive relationship between mathematical science and human society; You can study the history of the exchange and dissemination of mathematical ideas; You can study the life of mathematicians and so on.