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Frontiers in Mathematics

An Introduction to Incidence Geometry

Authors: De Bruyn, Bart

  • 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
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eBook $109.00
price for USA (gross)
  • ISBN 978-3-319-43811-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $139.00
price for USA
  • ISBN 978-3-319-43810-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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.

Table of contents (9 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-319-43811-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $139.00
price for USA
  • ISBN 978-3-319-43810-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
An Introduction to Incidence Geometry
Authors
Series Title
Frontiers in Mathematics
Copyright
2016
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-43811-5
DOI
10.1007/978-3-319-43811-5
Softcover ISBN
978-3-319-43810-8
Series ISSN
1660-8046
Edition Number
1
Number of Pages
XII, 372
Topics