Foundations of Incidence Geometry

Projective and Polar Spaces

  • Johannes Ueberberg

Part of the Springer Monographs in Mathematics book series (SMM)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Johannes Ueberberg
    Pages 1-56
  3. Johannes Ueberberg
    Pages 57-81
  4. Johannes Ueberberg
    Pages 83-122
  5. Johannes Ueberberg
    Pages 123-183
  6. Johannes Ueberberg
    Pages 185-244
  7. Back Matter
    Pages 245-248

About this book

Introduction

Incidence geometry is a central part of modern mathematics that has an impressive tradition. The main topics of incidence geometry are projective and affine geometry and, in more recent times, the theory of buildings and polar spaces.

Embedded into the modern view of diagram geometry, projective and affine geometry including the fundamental theorems, polar geometry including the Theorem of Buekenhout-Shult and the classification of quadratic sets are presented in this volume. Incidence geometry is developed along the lines of the fascinating work of Jacques Tits and Francis Buekenhout.

The book is a clear and comprehensible introduction into a wonderful piece of mathematics. More than 200 figures make even complicated proofs accessible to the reader.

Keywords

projective and affine geometry 51E24, 51A05, 51A50 buildings coxeter geometries diagram geometry polar spaces

Authors and affiliations

  • Johannes Ueberberg
    • 1
  1. 1., Mathematisches InstitutUniversität GießenGießenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-20972-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-20971-0
  • Online ISBN 978-3-642-20972-7
  • Series Print ISSN 1439-7382
  • About this book