Projective Geometry

出版者:Springer

作者:H.S.M. Coxeter

页数:162

出版时间:2003-10-9

价格:USD 49.95

装帧:Paperback

isbn号码:9780387406237

图书标签:数学数学-ProjectiveGeometry射影几何MathGeometryMath经典微分几何7几何变换

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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, 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.

用户评价

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。

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。

读这本书，就像过山车，新奇又刺激。。

读这本书，就像过山车，新奇又刺激。。

读这本书，就像过山车，新奇又刺激。。