Table of contents

  1. Front Matter
    Pages i-xiii
  2. Marcel Berger
    Pages 1-3
  3. Marcel Berger
    Pages 4-31
  4. Marcel Berger
    Pages 32-66
  5. Marcel Berger
    Pages 67-84
  6. Marcel Berger
    Pages 85-110
  7. Marcel Berger
    Pages 111-121
  8. Marcel Berger
    Pages 122-141
  9. Marcel Berger
    Pages 142-150
  10. Marcel Berger
    Pages 151-199
  11. Marcel Berger
    Pages 200-278
  12. Marcel Berger
    Pages 279-330
  13. Marcel Berger
    Pages 331-384
  14. Back Matter
    Pages 385-428

About this book


This is the first part of the 2-volume textbook "Geometry" which provides a very readable and lively presentation of large parts of geometry in the classical sense.

An attractive characteristic of the book is that it appeals systematically to the reader's intuition and vision, and illustrates the mathematical text with many figures. For each topic the author presents a theorem that is esthetically pleasing and easily stated - although the proof of the same theorem may be quite hard and concealed. Many open problems and references to modern literature are given. Yet another strong trait of the book is that it provides a comprehensive and unified reference source for the field of geometry in the full breadth of its subfields and ramifications.


Geometry Mathematica Vector space Volume boundary element method character field group group action presentation proof sets theorem

Editors and affiliations

  • Marcel Berger
    • 1
  1. 1.Institut des Hautes Etudes ScientifiquesBures-sur-YvetteFrance

Bibliographic information

  • Book Title Geometry I
  • Authors Marcel Berger
  • Series Title Universitext
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1987
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-11658-5
  • eBook ISBN 978-3-540-93815-6
  • Series ISSN 0172-5939
  • Series E-ISSN 2191-6675
  • Edition Number 1
  • Number of Pages XIV, 432
  • Number of Illustrations 426 b/w illustrations, 0 illustrations in colour
  • Additional Information Original French edition published by CEDIC and Fernand Nathan, Paris, 1977
  • Topics Geometry
  • Buy this book on publisher's site