中国古代数学蕴涵的变量思想.docxVIP

中国古代数学蕴涵的变量思想 Documents from the network, I collected, finishing, and if there are omissions, errors, but also please correct me! The variable ideas in ancient Chinese mathematics Wu Libao Wang Xinmin School of mathematics and information scienee, Nei jiang Normal University, Sichuan 641112, Neijiang, China Abstract: in the course of the development of ancient Chinese mathematics, although it did not produce a strict sense of variable mathematics, it does not mean that there was no variable thought in ancient mathematics In ancient Chinese mathematics, it not only contains a wealth of variables, but also has its own characteristics From the four aspects of coordinate thought, function and equation thought, limit thought and calculus thought, this paper expounds the variable thought hidden in Chinese Ancient Mathematics One Key words: ancient mathematics: variable thinking; calculus CLC number: document identifier: A The emergenee of 1 variable concepts The generation of variables has epoch-making significance in the development of mathematics? It gives birth to analytic geometry and calculus, and promotes the formation of function concept In the history of mathematics, for the first time, the variables involved (not using this name and using unknown and undetermined quantities) were the works of Descartes, a mathematician of France, in 1637? Geometry, [1_ Descartes pointed out: that there is a linear curve around a point on the axis of rotation, this line can make the curve at two points, but when the line is approaching or away from the axis, two approaching and finally coincide, at this time be tangent to the curve line, which he regarded as the limit position of the secant tangent For Descartes，s variables, Engels spoke highly of it, and Engels pointed out, the turning point in mathematics is the Cartesian variable? With variables, movement enters mathematics, variables, dialectics into mathematics, variables, differential and integral immediately become necessa