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Exploring Curvature

  • James Casey

Table of contents

  1. Front Matter
    Pages i-xv
  2. James Casey
    Pages 1-34
  3. James Casey
    Pages 35-40
  4. James Casey
    Pages 41-44
  5. James Casey
    Pages 45-57
  6. James Casey
    Pages 80-91
  7. James Casey
    Pages 92-99
  8. James Casey
    Pages 100-112
  9. James Casey
    Pages 113-136
  10. James Casey
    Pages 137-153
  11. James Casey
    Pages 154-187
  12. James Casey
    Pages 188-192
  13. James Casey
    Pages 193-202
  14. James Casey
    Pages 203-222
  15. James Casey
    Pages 223-232
  16. James Casey
    Pages 233-244
  17. James Casey
    Pages 245-249
  18. James Casey
    Pages 264-273
  19. James Casey
    Pages 274-283
  20. Back Matter
    Pages 284-291

About this book

Introduction

This introductory book, which is intuitive and exploratory in nature, is intended as a bridge between Euclid's geometry and the modern geometry of curved spaces. It is organized around a collection of simple experiments which the reader can perform at home or in a classroom setting. Methods for physically exploring the intrinsic geometry of commonplace curved objects (such as bowls, balls and watermelons) are described. The concepts of Gaussian curvature, parallel transport, and geodesics are treated. The book also contains biographical chapters on Gauss, Riemann, and Levi- Civita.

Keywords

Gaussian curvature commonplace curved objects curvature euklidische Geometrie experiments geometry moderne Geometrie

Authors and affiliations

  • James Casey
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of California, BerkeleyBerkeleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-322-80274-3
  • Copyright Information Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden GmbH, Wiesbaden 1996
  • Publisher Name Vieweg+Teubner Verlag
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-528-06475-4
  • Online ISBN 978-3-322-80274-3
  • Buy this book on publisher's site