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.
General
Imprint: |
Birkhauser Verlag AG
|
Country of origin: |
Switzerland |
Series: |
Frontiers in Mathematics |
Release date: |
November 2016 |
First published: |
2016 |
Authors: |
Bart de Bruyn
|
Dimensions: |
240 x 168 x 24mm (L x W x T) |
Format: |
Paperback
|
Pages: |
372 |
Edition: |
1st ed. 2016 |
ISBN-13: |
978-3-319-43810-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
|
LSN: |
3-319-43810-7 |
Barcode: |
9783319438108 |
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