© 1983

Notes on Geometry


Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Elmer G. Rees
    Pages 1-1
  3. Elmer G. Rees
    Pages 3-49
  4. Elmer G. Rees
    Pages 51-78
  5. Elmer G. Rees
    Pages 79-104
  6. Back Matter
    Pages 105-114

About this book


This book offers a concrete and accessible treatment of Euclidean, projective and hyperbolic geometry, with more stress on topological aspects than is found in most textbooks. The author's purpose is to introduce students to geometry on the basis of elementary concepts in linear algebra, group theory, and metric spaces, and to deepen their understanding of these topics in the process. A large number of exercises and problems is included, some of which introduce new topics.


Area Geometrie Microsoft Access Symmetry group algebra finite group geometry group theory hyperbolic geometry linear algebra metric space projective geometry quadratic form symmetry topology

Authors and affiliations

  1. 1.School of MathematicsThe University of EdinburghEdinburghScotland

Bibliographic information

  • Book Title Notes on Geometry
  • Authors Elmer G. Rees
  • Series Title Universitext
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1983
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-12053-7
  • eBook ISBN 978-3-642-61777-5
  • Series ISSN 0172-5939
  • Series E-ISSN 2191-6675
  • Edition Number 1
  • Number of Pages VIII, 114
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Geometry
  • Buy this book on publisher's site


From the Reviews: "This book is meant to fill a certain gap in the literature. Namely, it treats the classical topics of Euclidean, projective and hyperbolic geometry using the modern language of linear algebra, group theory, metric spaces and elementary complex analysis. In each of those geometries the main constructions are fully explained and the reader can check his understanding with the sets of problems included. The mixture of classical and modern material which is so difficult to find in the textbooks nowadays makes of this nice little book an enjoyable and profitable reading."
A. Dimca, Revue Roumaine de Mathématiques Pures et Appliquées (No. 5/1985)