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Geometry

Our Cultural Heritage

  • Audun Holme
Textbook

Table of contents

  1. Front Matter
    Pages i-xvi
  2. A Cultural Heritage

    1. Front Matter
      Pages 1-1
    2. Audun Holme
      Pages 3-5
    3. Audun Holme
      Pages 7-26
    4. Audun Holme
      Pages 27-65
    5. Audun Holme
      Pages 67-129
    6. Audun Holme
      Pages 131-150
    7. Audun Holme
      Pages 151-163
  3. Introduction to Geometry

    1. Front Matter
      Pages 165-165
    2. Audun Holme
      Pages 167-176
    3. Audun Holme
      Pages 177-194
    4. Audun Holme
      Pages 195-210
    5. Audun Holme
      Pages 211-219
    6. Audun Holme
      Pages 221-232
    7. Audun Holme
      Pages 281-309
    8. Audun Holme
      Pages 311-327
    9. Audun Holme
      Pages 353-358
    10. Audun Holme
      Pages 359-362
  4. Back Matter
    Pages 363-378

About this book

Introduction

The book aims at future teachers of mathematics. All too often the geometry which goes into the syllabus for teacher-students presents the material as pedantic and formalistic, suppressing its dynamic character and its role as part of the foundation for our common cultural heritage. The motivation for the book is to open up these aspects of the field. Another motivation is to provide an invitation to mathematics in general. It is an unfortunate fact that today, at a time when mathematics and knowledge of mathematics are more important than ever, phrases like math avoidance and math anxiety are very much in the public vocabulary. An important task is seriously attempting to heal these ills. Ills perhaps inflicted on students at an early age, through deficient or even harmful teaching practices. Thus the book also aims at an informed public, interested in making a new beginning in math. And in doing so, learning more about this part of our cultural heritage. The book is divided into two parts. Part 1 is called A Cultural Heritage. The section constitutes an excursion into the history of geometry. It also contains material which is normally not included into a mathematical text. For example, we relate some of the stories told by the Greek historian, Herodotus. Apart from being good reading, some of the early geometers were very much part of these events.

Keywords

Algebra Apollonius Fractal Geometry History of Mathematics algebraic geometry history of geometry logic mathematics proof teaching mathematics theorem

Authors and affiliations

  • Audun Holme
    • 1
  1. 1.Department of MathematicsUniversity of BergenBergenNorway

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-04720-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 2002
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07546-9
  • Online ISBN 978-3-662-04720-0
  • Buy this book on publisher's site