Authors:
- 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-line geometries
- Shows the connections between these various point-line geometries
Part of the book series: Frontiers in Mathematics (FM)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
About this book
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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Authors and Affiliations
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Department of Mathematics, Ghent University, Ghent, Belgium
Bart De Bruyn
Bibliographic Information
Book Title: An Introduction to Incidence Geometry
Authors: Bart De Bruyn
Series Title: Frontiers in Mathematics
DOI: https://doi.org/10.1007/978-3-319-43811-5
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Softcover ISBN: 978-3-319-43810-8Published: 17 November 2016
eBook ISBN: 978-3-319-43811-5Published: 09 November 2016
Series ISSN: 1660-8046
Series E-ISSN: 1660-8054
Edition Number: 1
Number of Pages: XII, 372
Topics: Geometry