Elementary Differential Geometry

Authors:

ISBN: 978-1-84882-890-2 (Print) 978-1-84882-891-9 (Online)

Table of contents (13 chapters)

  1. Front Matter

    Pages i-xi

  2. No Access

    Chapter

    Pages 1-27

    Curves in the plane and in space

  3. No Access

    Chapter

    Pages 29-54

    How much does a curve curve?

  4. No Access

    Chapter

    Pages 55-65

    Global properties of curves

  5. No Access

    Chapter

    Pages 67-93

    Surfaces in three dimensions

  6. No Access

    Chapter

    Pages 95-119

    Examples of surfaces

  7. No Access

    Chapter

    Pages 121-157

    The first fundamental form

  8. No Access

    Chapter

    Pages 159-177

    Curvature of surfaces

  9. No Access

    Chapter

    Pages 179-213

    Gaussian, mean and principal curvatures

  10. No Access

    Chapter

    Pages 215-245

    Geodesics

  11. No Access

    Chapter

    Pages 247-268

    Gauss’ Theorema Egregium

  12. No Access

    Chapter

    Pages 269-304

    Hyperbolic geometry

  13. No Access

    Chapter

    Pages 305-333

    Minimal surfaces

  14. No Access

    Chapter

    Pages 335-377

    The Gauss–Bonnet theorem

  15. Back Matter

    Pages 379-473