非歐幾何的發(fā)展史及其啟示

非歐幾何的發(fā)展史及其啟示

摘 要

在數(shù)學(xué)史上,非歐幾何占有特殊的地位.人們常將非歐幾何引起的變革與哥白尼的革命相比擬.本文以非歐幾何的發(fā)明過(guò)程為基本線索，探討其對(duì)對(duì)數(shù)學(xué)學(xué)科本身、人類文化、哲學(xué)思想的影響；也研究了其對(duì)數(shù)學(xué)科研者、數(shù)學(xué)教育者、中學(xué)生、高校學(xué)生的啟示。
關(guān)鍵詞：非歐幾何；羅巴切夫斯基幾何；黎曼幾何；啟示

The history of non-Euclidean geometry and the development of its revelation

Abstract

The non-Euclidean geometry holds the special status in the history of mathematics. People usually compare the revolution of Copernicus with the transformation of Non-Euclidean geometry. This article take the non-Euclidean geometry invention process as the basic clue, has discussed the impact of the mathematical Science itself ，humanity culture and the philosophy thought；also studied its revelation to mathematics researchers, mathematics teachers， the middle-school students and the university students.     
Key words：Non-Euclidean geometry；Lobatchevskian geometry；Riemannian geometry；revelation；

【非歐幾何的發(fā)展史及其啟示】相關(guān)文章：

固定幾何結(jié)構(gòu)的FFT算法及其FPGA實(shí)現(xiàn)03-18

中西方歌劇的發(fā)展史及其問(wèn)題比較06-25

論非物質(zhì)設(shè)計(jì)及其在中國(guó)的發(fā)展03-19

數(shù)控機(jī)床幾何誤差及其補(bǔ)償方法研究11-16

淺談角色教育及其啟示03-30

淺探非語(yǔ)言交際及其與文化的關(guān)系03-19

試論稅務(wù)籌劃的非稅成本及其規(guī)避03-21

現(xiàn)代的新財(cái)產(chǎn)分類及其啟示03-10

馬歇爾的效率理論及其啟示12-05