Projective Geometry

Projective Geometry pdf epub mobi txt 电子书 下载 2025

出版者:
作者:Coxeter, H. S. M.
出品人:
页数:174
译者:
出版时间:2003-10
价格:$ 67.74
装帧:
isbn号码:9780387965321
丛书系列:
图书标签:
  • 计算机科学 
  • 第2版 
  • 数学 
  • Springer 
  • Projective 
  • Geometry 
  • 1987 
  •  
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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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