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Geometry

Our Cultural Heritage

  • AudunĀ Holme

Table of contents

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

    1. Front Matter
      Pages 1-1
    2. Audun Holme
      Pages 3-6
    3. Audun Holme
      Pages 7-29
    4. Audun Holme
      Pages 31-73
    5. Audun Holme
      Pages 75-172
    6. Audun Holme
      Pages 173-210
    7. Audun Holme
      Pages 211-240
    8. Audun Holme
      Pages 241-249
  3. Introduction to Geometry

    1. Front Matter
      Pages 251-251
    2. Audun Holme
      Pages 253-263
    3. Audun Holme
      Pages 265-282
    4. Audun Holme
      Pages 283-298
    5. Audun Holme
      Pages 299-311
    6. Audun Holme
      Pages 313-323
    7. Audun Holme
      Pages 367-396
    8. Audun Holme
      Pages 397-412
    9. Audun Holme
      Pages 435-439
    10. Audun Holme
      Pages 441-444
  4. Back Matter
    Pages 503-519

About this book

Introduction

This book contains selected topics from the history of geometry, with "modern" proofs of some of the results, as well as a fully modern treatment of selected basic issues in geometry. It is geared towards the needs of future mathematics teachers. All too often the geometry which goes into the syllabus for these students presents the material in a pedantic and formalistic style, suppressing its dynamic character and its role as part of the foundation of our common cultural heritage. As such, one of my goals is to open up these aspects of the field; another is to extend 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. Making a serious effort to heal these ills is an essential task. Thus the book also aims at an informed public, interested in making a new beginning in math.For the 2nd edition, some of the historical material giving historical context has been expanded and numerous illustrations have been added. The main difference is however the inclusion of a large number of exercises with some suggestions for solutions.For excerpts from reviews from the first edition have a look at http://www.springer.com/978-3-540-41949-5.

Keywords

Algebraic Geometry Fractal History of Geometry Ringe Teaching Mathematics algebra geometry mathematics proof

Authors and affiliations

  • AudunĀ Holme
    • 1
  1. 1.University of BergenDepartment of MathematicsBergenNorway

Bibliographic information

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