【摘要】 数学需要演绎推理,但从科学发现的角度来说,更需要合情推理。通过数学实验,我们可以用计算机演示大量的运算结果,使得学生有机会从中发现问题进而解决问题。本文介绍了常微分方程中一个常见结论的从猜想到证明的过程。更多还原

【Abstract】 It is necessary to apply deductive inference to studying mathematics.However,it is more important to apply plausible inference to scientific discovery.By carrying out mathematical experiments,we can demonstrate plenty of outcomes which make it possible for students to discover problems and solve them.In this paper we show the process of a usual conclusion in ordinary differential equations from obtaining a conjecture to demonstrating its rationality.更多还原