图书标签: 数学 数学-ProjectiveGeometry 射影几何 MathGeometry Math 经典 微分几何7 几何变换
发表于2024-11-23
Projective Geometry pdf epub mobi txt 电子书 下载 2024
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, respectively. 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 show the connections among projective, Euclidean, and analytic geometry.
欧几里得几何要用尺规,有度量;而射影几何只用尺子,没有度量只有关联。几何对象与代数结构直接相连。
评分欧几里得几何要用尺规,有度量;而射影几何只用尺子,没有度量只有关联。几何对象与代数结构直接相连。
评分读这本书,就像过山车,新奇又刺激。。
评分读这本书,就像过山车,新奇又刺激。。
评分欧几里得几何要用尺规,有度量;而射影几何只用尺子,没有度量只有关联。几何对象与代数结构直接相连。
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Projective Geometry pdf epub mobi txt 电子书 下载 2024