An Introduction to Incidence Geometry 1st Edition by Bart De Bruyn ISBN 3319438107 978-3319438108

An Introduction to Incidence Geometry 1st Edition by Bart De Bruyn – Ebook PDF Instant Download/Delivery: 3319438107, 978-3319438108

Full download An Introduction to Incidence Geometry 1st Edition after payment

Product details:

ISBN 10: 3319438107

ISBN 13: 978-3319438108 

Author: Bart De Bruyn

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.

Table of contents:

1.Introductory notions
2.Some classes of point-line geometries
3.Strongly regular and distance-regular graphs
4.Projective spaces
5.Generalized polygons
6.Near polygons
7.Polar spaces
8.Dual polar spaces
9.Designs.

People also search for:

an introduction to incidence geometry
    
an introduction to geometry
    
an introduction to geometric topology
    
incidence in geometry
    
introduction to geometry practice

Tags: Bart De Bruyn, An Introduction, to Incidence Geometry