EUCLIDEAN AND NON-EUCLIDEAN GEOMETRY The appearance on the mathematical scene a century and a half ago of non-Euclidean geometry was accompanied by considerable belief and shock. Any mathematical scheme such as algebra, geometry, arithmetic etc., can be presented as an axiomatic scheme wherein cons...
Euclidean and Non-Euclidean Geometry 作者:Ryan, Patrick J. 出版社:Cambridge Univ Pr 出版年:1986-6 页数:236 定价:$ 61.02 装帧:Pap ISBN:9780521276351 豆瓣评分 目前无人评价 评价: 写笔记 写书评 加入购书单 分享到
第一章 Euclid's Geometry 1. Very Brief Survey of the Beginnings of Geometry 以爱因斯坦的一句话开头:“若欧几里得不能让你年轻的灵魂开心,那你不会是科学家。”(害怕) 解释英文“geometry”词源:希腊语之“大地测量”(其他还有astrometry, psychometry, biometry云云)。人类要建房子(大如金字塔),测量是刚需。
Euclidean geometry is the oldest and historically most important example of a deductive scientific discipline. Down to modern times it has been a model of an exact science and it became the starting...doi:10.1007/978-94-011-6982-0_42W. Gellert...
What is the main difference between Euclidean and non-Euclidean geometry? Euclidean geometry only deals with straight lines, while non-Euclidean geometry is the study of triangles.Euclidean geometry assumes that the surface is flat, while non-Euclidean geometry studies curved surfaces. ...
Non-euclidean geometries: the Cayley-Klein approach A. Cayley and F. Klein discovered in the nineteenth century that euclidean and non-euclidean geometries can be considered as mathematical structures living... H Struve,R Struve - 《Journal of Geometry》 被引量: 15发表: 2010年 A MECHANIZATION ...
This article starts with the definition of the Euclidean Geometry and theNon-Euclidean Geometry. 文章从欧几里德几何与非欧几里德几何的定义入手,探讨两种几何形态的各自特征。 2) Non-OPEC 非欧佩克 3) non-euclidean geometry 非欧几何 1. A simple proof of finiteness of areas of asymptotic triangles in...
of Euclidean geometry. in 1868 of Riemann's 1854 paper convinced many mathematicians thata non-Euclidean geometry could be the geometry of physical space and that we could no longer be sure which geometry was true. The mere fact that there can be alternative ...
non-Euclidean geometry 网络 非欧几何; 非欧几里德几何; 非欧几何学; 出非欧几何; 非欧几里得几何
Euclidean and Non-Euclidean Geometry This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary purpose is to acquaint the reader with the classical results of plane Euclidean and nonEuclidean geo... PJ Ryan - 《...