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Titlebook: An Introduction to Incidence Geometry; Bart De Bruyn Book 2016 Springer International Publishing Switzerland 2016 projective spaces.incide

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发表于 2025-3-21 18:34:42 | 显示全部楼层 |阅读模式
期刊全称An Introduction to Incidence Geometry
影响因子2023Bart De Bruyn
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发行地址Provides one of the few in the area of Incidence Geometry which discusses several families of point-line geometries at the same time.Includes the graph theory necessary for the study of certain point-
学科分类Frontiers in Mathematics
图书封面Titlebook: An Introduction to Incidence Geometry;  Bart De Bruyn Book 2016 Springer International Publishing Switzerland 2016 projective spaces.incide
影响因子.This book gives an introduction to the field of Incidence Geometry by discussing the basic families of point-line geometries and introducing some of the mathematical techniques that are essential for their study. The families of geometries covered in this book include among others the generalized polygons, near polygons, polar spaces, dual polar spaces and designs. Also the various relationships between these geometries are investigated. Ovals and ovoids of projective spaces are studied and some applications to particular geometries will be given. A separate chapter introduces the necessary mathematical tools and techniques from graph theory. This chapter itself can be regarded as a self-contained introduction to strongly regular and distance-regular graphs... This book is essentially self-contained, only assuming the knowledge of basic notions from (linear) algebra and projective and affine geometry. Almost all theorems are accompanied with proofs and a list of exercises with full solutions is given at the end of the book. This book is aimed at graduate students and researchers in the fields of combinatorics and incidence geometry..
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发表于 2025-3-21 23:44:48 | 显示全部楼层
Near polygons,ch of the structure theory of near polygons that we discuss here was developed in Brouwer and Wilbrink [26]. A lot of additional information about near polygons can be found in the reference book [51].
发表于 2025-3-22 03:09:56 | 显示全部楼层
Dual polar spaces,ties of these geometries and describe several families. Dual polar spaces are examples of near polygons. In this chapter we also prove a result, essentially due to Peter Cameron, which characterizes dual polar spaces as those near polygons that satisfy certain specific properties.
发表于 2025-3-22 07:47:55 | 显示全部楼层
Designs,f Steiner triple systems. Design theory is however much broader than this. The reader who also wants to learn about other topics might consult other handbooks on design theory like [2, 87, 97, 135]. An extensive treatment of design theory can be found in the books [11, 12, 44].
发表于 2025-3-22 10:43:16 | 显示全部楼层
1660-8046 th full solutions is given at the end of the book. This book is aimed at graduate students and researchers in the fields of combinatorics and incidence geometry..978-3-319-43810-8978-3-319-43811-5Series ISSN 1660-8046 Series E-ISSN 1660-8054
发表于 2025-3-22 15:37:53 | 显示全部楼层
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发表于 2025-3-22 23:13:12 | 显示全部楼层
978-3-319-43810-8Springer International Publishing Switzerland 2016
发表于 2025-3-23 04:26:18 | 显示全部楼层
Bart De BruynProvides one of the few in the area of Incidence Geometry which discusses several families of point-line geometries at the same time.Includes the graph theory necessary for the study of certain point-
发表于 2025-3-23 06:51:28 | 显示全部楼层
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