有限几何-教辅教材-文化科教-太极之巅书单号

书刊介绍

有限几何内容简介

该书的主题是将组合思想、几何思想、代数思想互相结合、互相渗透、互相补充和完善形成的有限数学领域。书中大部分章节集中在有限射影平面上。为了让该册子的尺寸合理，作者对书中的内容作了紧缩，适合于对其他研究领域的标准概念（比如线性代数和群理论）非常熟悉的读者。目次：基本概念；设计；射影平面和仿射平面；有限平面的直射交换；有限平面的构建；反演面；附录；索引。

有限几何本书特色

有限几何目录

Note on exposihon1．Basic concepts1．1 Finite incidence structures1．2 Incidence preserving maps1．3 Incidence matrices1．4 Geometry of finte vector spaces2．Designs2．1 Combi Mtorial properties2．2 Embeddings and extensions2．3 Automorphisms of designs2．4 Construction of designs3．Projectnre and affine planes3．1 General results3．2 Combinatorics of finite planes3．3 Correlations and polarities3．4 Projectivities4．Collineations of finite planes4．1 Fixed elements and orders4．2 Collineation groups4．3 Central collineations4．4 Groups with few orbits5．Construction of frnite planes5．1 Algebraic representations5．2 Planes of typeⅣ5．3 Planes of typeⅤ5．4 Planes of typesⅠandⅡ6．Inversive planes6．1 General definitions and results6．2 Combinatorics of finite inversive planes6．3 Automorphisms6．4 The known finite models7．Appendices7．1 Association achemes and partial designs7．2 Hjelmslev planes7．3 Generaliaed polygons7．4 Finite semi-planeaBibliographyDictionarySpecial notationsIndex