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前面三讲说的是暂降条件前进型分析中的三种逐次逼近前进型分析.本讲说的是第四种暂降条件前进型分析,它非逐次逼近,而是“解方程组最后逼近”.笛卡尔把公元前三世纪的欧几里得思维方法(双轴模式),发展成自己的思维方法(多轨模式)并非轻易,足足跨越了两千年才办成,并立即把数学从算术跨到了代数,从欧氏几何跨到了解析(代数)几何,为牛顿、莱布尼兹各自发明微积分学打好了基础.欧几里得固然伟大,但笛卡尔更伟大.小学甚至学前的数学教育,都应当为过渡到中学数学的欧氏和笛氏思维方法作准备.先讲个故事,来说明我们应当学习波利亚普于从“公式解”觅取算术
In the previous three we talk about three successive approximation forward analysis in the forward analysis of descending conditions.This talk is about the fourth forward analysis of descending conditions, which is not successive approximation, but “ Approximation. ”It is not easy enough for Cartesche to develop the Euclidean thinking method (biaxial mode) of the third century BC in his own way of thinking (multi-track mode) over two thousand years and immediately Crossing mathematics from algebra to algebra, spanning from Euclidean geometry to analytic (algebraic) geometry, laid the groundwork for the invention of Calculus by Newton and Leibniz, Euclid was great, but Descartes was even greater. Elementary and even preschool mathematics education should prepare for the transition to the Euclidean and Dixon ways of thinking in high school mathematics.First tell a story to show that we should learn about Polyglia in finding arithmetic from the formula solution