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Coxeter, H. S. M. 作者

译者

2003-10 出版日期

174 页数

$ 67.74 价格

丛书系列

9780387965321 图书编码

Projective Geometry 在线电子书图书标签: 计算机科学第2版数学 Springer Projective Geometry 1987

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Projective Geometry 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Projective Geometry 在线电子书图书描述

In Euclidean geometry, constructions are made with ruler and compass. Projective geometry is simpler: its constructions require only a ruler. In projective geometry one never measures anything, instead, one relates one set of points to another by a projectivity. The first two chapters of this book introduce the important concepts of the subject and provide the logical foundations. The third and fourth chapters introduce the famous theorems of Desargues and Pappus. Chapters 5 and 6 make use of projectivities on a line and plane, repectively. The next three chapters develop a self-contained account of von Staudt's approach to the theory of conics. The modern approach used in that development is exploited in chapter 10, which deals with the simplest finite geometry that is rich enough to illustrate all the theorems nontrivially. The concluding chapters shows the connections among projective, Euclidean, and analytic geometry.

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