数学符号的演变与传播研究

数学符号的演变和数学符号的传播都是数学史重要的组成部分。更为重要的是，没有专门的符号和公式，就不可能有现代数学。数学符号的演变和数学传播的关系密切，且互为影响。随着数学理论的发展，只留下最合适的符号来表示概念和运算。通过数学交流，数学符号将趋于一致。本项目针对数学符号的演变与传播过程中的一些重要节点，并结合近现代数学的分支展开研究：（1）印度- 阿拉伯数系的产生与传播历程。（2）代数学符号和术语的产生与早期传播。（3）莱布尼兹与微积分符号的演变及在中国传播。（4）近代数学符号在中国的翻译与传播。理清今天广泛使用的印度-阿拉伯数系西传和东传的历史和原因，研究代数学和微积分中重要符号和术语的产生和传播历程。通过分析数学符号在中国的翻译、改良和接受过程，探讨西方数学对我国近现代数学发展的影响，以及中国数学与西方数学趋于一致的过程。

The evolution and dissemination of mathematical symbols are important component of mathematics history. More importantly, without the special symbols and formulas, modern mathematics would not exist. The evolution of mathematical symbols has a close relationship with the dissemination of mathematics, and the two influence each other. With the development of mathematical theories, only the most appropriate symbols are left to express the concept and operation. Through global communication of mathematics, the use of mathematical symbols has become unified. In this project, we will combine the divisions of modern mathematics to discuss the four important issues during the development of the mathematical symbols: (1) Generation and dissemination process of India - Arab number system; (2) The history and communication of the algebra symbols and terminology; (3) The evolution of the Leibniz and Calculus symbols, and their dissemination in early China; (4) The translation and dissemination of some morden mathematical symbols in China.This project aims to understand how and why the India - Arab number system has been disseminated in the Western and Eastern countries. It also attempts to explore the generation and dissemination of some key symbols and termiologies in Algebra and Calculus. Through analyzing how mathematical symbols were translated, improved and accepted by Chinese people, we will investigate the effect of Western mathematics on the development of our morden mathematics as well as the process of integrating the Chinese mathematics and Western manthematics.