Geometry

  • Michèle Audin

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-vi
  2. Michèle Audin
    Pages 1-5
  3. Michèle Audin
    Pages 7-42
  4. Michèle Audin
    Pages 43-63
  5. Michèle Audin
    Pages 65-111
  6. Michèle Audin
    Pages 113-142
  7. Michèle Audin
    Pages 143-182
  8. Michèle Audin
    Pages 183-245
  9. Michèle Audin
    Pages 247-267
  10. Michèle Audin
    Pages 269-300
  11. Back Matter
    Pages 301-360

About this book

Introduction

Geometry, this very ancient field of study of mathematics, frequently remains too little familiar to students. Michèle Audin, professor at the University of Strasbourg, has written a book allowing them to remedy this situation and, starting from linear algebra, extend their knowledge of affine, Euclidean and projective geometry, conic sections and quadrics, curves and surfaces.
It includes many nice theorems like the nine-point circle, Feuerbach's theorem, and so on. Everything is presented clearly and rigourously. Each property is proved, examples and exercises illustrate the course content perfectly. Precise hints for most of the exercises are provided at the end of the book. This very comprehensive text is addressed to students at upper undergraduate and Master's level to discover geometry and deepen their knowledge and understanding.

Keywords

51XX 53XX Area Euclidean geometry conics differential geometry projective geometry quadrics

Authors and affiliations

  • Michèle Audin
    • 1
  1. 1.IRMAUniversité Louis PasteurStrasbourgFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-56127-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 2003
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-43498-6
  • Online ISBN 978-3-642-56127-6
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • About this book
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